so it goes ad infinitum

"Geometry enlightens the intellect and sets one's mind right. All of its proofs are very clear and orderly. It is hardly possible for errors to enter into geometrical reasoning, because it is well arranged and orderly. Thus, the mind that constantly applies itself to geometry is not likely to fall into error. In this convenient way, the person who knows geometry acquires intelligence."

Ibn Khaldun

3-D in eight parts
"Hooray for Hollywood, talk to the hand" she said like a movie star.
"I've been noticing gravity since I was very young. Does it matter? Humankind cannot bear very much reality anyway."
All of solid fire and gems and gold, not too poor for common sense, she would number every nerve as a miser counts his gold. And the tsavorite eye sees only what the mind is prepared to comprehend.
That way, even if the talent would not know it, an acting career could be over, when the phone does not ring as much as once upon a time. Eventually one must learn to live one's own destiny rather than struggling along a path not truly home.
Montaigne said "my life has been filled with terrible misfortune, most of which never happended", and some less thoughtful say "why worry"?
Endless masquerading and misery, in any case, can be a mystery; and "a person often meets his destiny on the road he took to avoid it."(1)
So it goes that for the full round animation of fate and real estate, thoughts that drift away, strange stories and spies, the movies, spooks, and skeletons, costume parties, memories, apparitions, inner locutions, and wikileaks, and asphodeline lutea, the King's spear in the fields, and asphodelus albus, and the Asphodel Meadows of forgotten classics, and everything about Halloween and ghosts are in need of only three dimensions.
So it goes that three dimensions are enough for everything, all roads and visitations, even among the living, all vectors, vortices, and all of television, and for calling up hosts of the dead out of their graves at the end of the world, et cetera. 
"Finis mundi et felium mysteria". The end of the world and the mysteries of cats. Where do they come from and where do they go, to see in the dark and land on their feet?

As much as thoughts and currents of air, the fitness of names, and the sounds and words that go with them, fall within the meaning, sense, and logic of space, and things must have their own proper nature, their own permanent essence and sphere of relation, as much as this is this and that is that.
"Too weird to live, too rare to die!" she said, and the altered eye alters all and the desert silence all around. The center, radius, and curve account for everything.
"The last thing one discovers in composing a work is what to put first"(2), and in the four operations of mathematics (only four, any one of either increase or decrease) there are only three fundamental characteristics related together at work in quanta, in process of singularity, duality, and multiplicity. Duality and the way of the circle make three; and the mystery of three provides all that would be needed for the many; and the duality of three is peculiarly six.
"Many are called but few are chosen", and the case of many as much as one is enough to settle the case of logic. To look at a king, "the weight of gold that Solomon collected yearly was 666 talents"(3), and that way too it may be known fairly by division, addition, subtraction, and multiplication and the science of accounting that the throne of the old three to one, and one to three, is so adequate and plain for all the elements and kingdoms in circles, that so it goes ad infinitum. 
Ex abundatia cordis, os loquitur. Out of abundance from the heart, the mouth speaks, and everywhere as always, by one, two, and three the phenomena must be calculated. The words of an obscure Vesuvian fragment of vellum in the Museum of Antiquities of Gyges of Lydia, "batenim sunt phenomena de rerum naturae ubique uni, duo, trinoque semper calculata ubi hoc".
The treasure peace in discussions of contemplation and imagination, stuck between heart and mind, "possesses so much objective reality [i.e. participates by representation in so many degrees of being and perfection] that it must be held to arise from a course absolutely perfect."(4)
And there are still a few little comfortable things of the earth wiser than the wise. The lizard as well as the spider may be found in palaces, and the locusts swarm in bands but have no king. The rabbit who eats carrots and never needs glasses may live happily in brier patches or rocks; and the ant takes food for himself in the harvest;(5) and they all have an agreement, by nature, "verum et factum convertentur", as much as the truth and what is made are interchangeable. 
However, in spite of the natural simplicity of numbers and geometry, Marxist overgrowth and theories of the historical process and physics have created a world of confusion in "n" dimensions that would amaze even Galileo, Kepler, and Newton. Along with discrediting the American Constitution, promoting the UN as the only hope for mankind, dominating the psychiatric profession and promoting ugly art, the over-mathematisation of physics has been a creeping communist and "scientific" materialist goal for many years now, even an agenda; and heliocentrism has helped support that process, to the point that "ordinary mathematics is unable to satisfy the requirements of present day physics."(6)
Yet with the over-mathematisation of physics, "hath no man a house of good stone, each block cut smooth and well fitting, that delight might cover their faces". With the over-mathematisation of physics, "hath no man a painted paradise on his church wall, harpes et luz or where virgin receiveth message and halo projects from incision. Rather the line grows thick with no clear demarcation: and no man can find site for his dwelling. The strange math blunteth the adze and rusteth the chisel. It rusteth the craft and the craftsman. It gnaweth the thread in the loom and blunteth the needle in the maid’s hand. Stonecutter is kept from stone, and azure hath a canker, while corpses are set to banquet"(7), for the strangeness of exaggerated numbers and arcana.
Like old-time usury and Judeo-Masonic bombs let loose over monasteries and cathedrals, it is a practical form of social abuse.
In "1984", the phrase "2 + 2 = 5" was a favorite slogan of doublespeak, not so much unlike relativity and the 4th dimension, that was used by the Party to establish its control over the people and their perception of reality. Orwell adapted the phrase from actual Soviet Union propaganda, where Stalin wanted to describe the five year plan, as the communists used to say they would accomplish production in four years that should take five. By controlling the perception of reality, the Party would be able to dominate the public completely; and the common memory of the past, and awareness of the present, and the future, would be twisted to serve only the Party's self-serving and anti-heroic ends.


As O'Brien said to Winston, "there is a Party slogan dealing with the control of the past. Repeat it, if you please."

Winston answered, "who controls the past controls the future; who controls the present controls the past."

Later O'Brien would say, "we, the Party, control all records, and we control all memories. Then we control the past, do we not"? And in so many cynical and painful words, concluding the interrogation with Winston, he would say that if the Party says that 2 and 2 are not 4, that is the way it always was, is, and shall be.(8)

Yet as much as poor tortured Winston, with blasted eye sockets, standing outside a broken phone booth with New World Order coins in his hand, everybody knows that 2 + 2 = 4 --- and 4 does not equal 5. Whether awake or dreaming, "it remains true that two and three make five, and that a square has but four sides; nor does it seem possible that truths so apparent can ever fall under a suspicion of falsity or incertitude."(9) Four is four, not five, and math is only math, but the towering over-mathematisation of physics has been continually growing, and growing, as physics has become more and more dependent upon the bizarre fate of mathematics.
Crazy physicists have created a special theoretical mathematics for themselves which bears no relation to reality. As one of them put it, a "gulf in mathematics exists between theory and practice in mathematics itself. While mathematical theory is extremely ramified and develops very rapidly and luxuriantly, mathematical practice ... scarecly moves forward at all ..."(10)


Where Galileo in the 17th century had theorized his erroneous law of falling bodies, with sophistries of the pendulum included, and that horizontal motion was independent of the vertical, and so forth, in the 20th century the gatekeepers of scientific materialism have kept up that there are 4th, 5th, and possibly "n" other dimensions in space of outer space. But like too many crummy "Notes From Underground", and complications for no good reason, the 4th dimension represents a social distortion of mathematics and logic, since it simply has been too bourgeois and trinitarian for the Grand Masters of relativity and liberalism to accept that the cosmos is actually 3-D, and that is just how it is.

If the numbers do not lie that the straight line is the longest, and that the whole is less than the part, and that 2 and 2 make 5, or maybe 13 instead of 4, and that division by zero makes any sense, then also always they are in process of three dimensions in one. It was the same way of simple unification in the movie "Follow the Sun" about golf legend Ben Hogan.


"The only thing a golfer needs is more daylight", he said, and he hit a great number of golf balls and spent a lot of time in analysis to figure it all out.

With less good sense of physical intention, from his own half-baked work with parabolic curves, Galileo imagined that he had found some method to handicap and justify Copernicanism, and his theory of universal gravity out on the course. Therefore, Galileo attempted to show as a law that the path a projectile follows should be a parabola, as a consequence of uniform acceleration due to gravity, rather than from the coincidence of the spherical nature of space. For the opinion and system of a "new science", that would have the Earth fly around the Sun, any golf ball's flight would become a strange "secret in the dirt", completely in denial and contradiction of the classical theory of motion. Since Galileo preferred to undermine the practical application of science in impetus, momentum, and common sense alike, his theory would help support the development of ridiculous conclusions, like the earth spins in space many speeds at once to orbit the sun because of "gravity".

Even if "all travel is circular"(11), Galileo's fummdiddle work with curves would somehow lead some fools to believe that a parabola of relativity could lead to the "4th dimension" too, or even "n" dimensions in space, etc., as much as the center cannot hold where things fall apart in heliocentrism. Possibly worse than the ghosts of Euclid and Descartes trapped in a haunted torture chamber, since the 1800's, as if the presence of the presence in logic was only for trouble and depression, people are still tempted to believe in it, and that it could be up around the corner, just where it does not make any sense, except backwards, except for the devils of deception and Krampuslauf.





The human mind may wander in the seasons, like a little bird, from microcosm to macrocosm, near and far, across countries and counties, from thunder to rain, depending on weather and the vapors, and perhaps Galileo Galilei under house arrest was not so far removed from Dostoevsky's angry man gone underground. They were both fine malcontents of record, perhaps even a communion of thorns, if not two peas in a pod ... and pity the pod. For "man, in fact, is a comical creature", he said, one sourwit to the other. "One piece of pie is delicious, but fourteen, now that's disguting."
"There seems to be a kind of comical jest in it all," he answered, rambling the narrative as though he was lost and alienated in the cosmos as much as any crazy physicist who pretends that it makes any sense to say that the Earth revolves and orbits the Sun. He confessed the opinion that "mathematical certainty is, after all, something insufferable. Twice two makes four seems to me simply a piece of insolence. Twice two makes four is a pert coxcomb who stands with arms akimbo barring your path and spitting".
"With the ant-heap the respectable race of ants began and with the ant-heap they will probably end, which does the greatest credit to their good sense and perseverance. But man is a frivolous and incongruous creature ... who has always been afraid of ... mathematical certainty,"(12) but not for the entertainment of television, the Gong Show, and a smartphone.

"To have faith is to have wings"(13), and "fifty percent of something is better than one hundred percent of nothing"(14). Captain Kirk, for his part, was a man of faith and action, with some multiplicative identity and potential among the stars, who spoke of space as "the final frontier". And eventually, on starship expedition, he would say "beam me up, Scotty". He carried a special communicator that chirped for a ringtone, and it was almost a refrain, the way he would say, "beam me up, beam me up, Scotty."

Another starry-eyed pilgrim from cable TV, the wandering featherless biped (the zo-on politikon, ζωον πολιτικον, the political animal described by Aristotle) would look for a place to rent and a career pathway to success on the west coast, if not somewhere to play tennis, where the grass is always greener next door to a young Cheryl Ladd. Then also it must be for lawn sports as well, and skateboards, hot dogs, and sidewalks that we have cosmology, and the beach in Malibu, and many people on Facebook named "Jim", if not Pantagruel. Sometimes it all adds up for contentment or cantankerous misery as much as a special court order for house arrest, and the predicables of a spaceship under the stars.

"Take heed, for the wise may be instructed by a fool"(15), and if the landlord says the rent is late, and he may have to litigate, for example, the misanthrope’s corner of Galileo and Dostoevsky could come alive again, for spirits and spin, and a universal sign of broken bottles and protest at eviction. And the anthropomorphismos, ανθρωπομορφισμός, the shadow and nuisance of the eponymous principle, is at war with himself and discovers encrypted secrets of violence. Even from the cave, a sense of ambiguity mingles with conviction. The Dolla' Lama knows it too: si is vult pacem para bellum, and the receipt for 59 Tomahawk cruise missiles is maybe $832,000 each.

About 50 million dollars. Is that a fair price, one may ask, where "cunning beyond fancy's dream is the fertile skill which brings him, now to evil, now to good."(16) Thoughts may speak louder than words. He he may be held harmless with many, but not others. Wherefore, to be civil, set phasers on a strong stun and continue to wait for battlefront customer service.

The court docket and arbitraments could come smoky with elevator music and a touch of xanax, and Scotch to tranquilize the mind. The obscure yet manic shut-in, there with a TV remote control and a carton of cigarettes under the canopy of stars, would be startled by himself in the shadows, as much as by physics or the police, like some unexpected sign of fear and loathing stuck up among creatures. Mixed up among creation for no good reason, with a mental faculty always traced and rooted by three in one --- yet painfully estranged and fractured in his way --- he creaks along, fingers and toes, fingers and toes. Like only half a broken circle, procedenti ab utroque, proceeding from another, where primordial Jupiter split him and his property in half, sub specie aeternitatis from the beginning, he rolls down the hill: the strange results knitting the mineral, vegetable, and animal within the spiritual, creaking along squeaky-wheel-gets-the-grease, irons and Platonic solids in the fire, and he sighs, sometimes with noticeable pains, et cetera.(17)

Sentenced by the cosmos to be a 3-D contradiction in one, for better or worse, on strange nights he may hear the howls of execration. Guilty as he may be for some radical contempt, he asks with cool cynicism, “what is truth”, and pleads the Fifth as well as not. There is an ode to joy then a pitiful cry of angst, which is only himself, and his strange society for continuations, with no easy way out. In view of one of the strangest probations and portals of all creation, even if he goes underground from some necessity or skill, or per misadventure, it always all in the end could have been only a set-up, if not a bad dream.

He was framed and stuck under a bridge, the poor bearded old man with a flat tire of the ages. Alone and rejected as the wounds of a martyr, even Willie Nelson could cry like a dog for legalization and the social betters of marijuana. "Blow, winds, and crack your cheeks! rage! blow! You cataracts and hurricanoes, spout"(18), he bellowed.

If not for a regal crown, for an old man stoned and obscure, stuck between Texas and California, there is a long line of traffic and smoke in the world of hope and self-affirmation: yet the suffering in the joints and the rheumatism. And there are smartaleck youngsters who bum cigarettes, typical of some circles of experience and urban agglomeration. Friends and enemies will pass by through the hall of mirrors and harrassments, wagging their heads from side to side, from alpha to omega and the unemployment office, and a creep with a bomb in a bag is waiting up ahead at the corner. One false move when he gets there, the unsuspecting fellow, and a cigarette at the gas station could blow everything up.

We die only once and then for such a very long time.


Homo? Humus.
Fama? Fumus.
Finis? Cinis.


The longtime political animal would say anything to be free and that everything modern is in motion, or awkwardly placed, and nothing worthwhile at rest. And Al Gore as well as NASA should be encouraged by little green men over holiday eggnog to colonize Mars with a Tennessee rover purchased at RadioShack for Christmas.


C'est la vie, and point out the happy man and will it not also point out the figure of something wrong, if not ignorant in the blind spots?

"Every man has three characters - that which he exhibits, that which he has, and that which he thinks he has".(19)

However the rate may go for tourist fees and port tax, surcharges, and mental fidgeting, as crunchy cookies crumble by the Nile and crocodiles of many fine teeth may smile, looking for handouts, as they always have, not all projectiles follow an exact parabola, if Galileo fell off the boat and there was a picture from Court TV, etc. Although like a parabola at times is close to a parabola, and that may be close enough for many cases of government work. And in the math, of course, it is very good at times to round off and simplify for the solution; yet some curves that would seem parabolic are not so perfectly proportioned in each half, as described in the heliocentric books, and are only knock-offs, et cetera.

So the thing in the bottle discussed as cause would yet go unassigned, by the inverse squared: a world of knock-offs and confusion, if for impetus both by nature and convention, follows the ghost in modernist physics. Yet from generation to generation it still remains, that for what comes out of a golf bag, what may be really frustrating to some people is the total lack of improvement.
Besides the approximations in relational mechanics and artillery, many other projectiles may not even seem parabolic at all, like a boomerang, for example, which is more circular. And what to do with Galileo's theory of universal gravity, when it carelessly disrespects chemistry, common sense, and Aristotle, who may be the smartest man who ever lived, so much, that to drop a hammer or feather on the naked toe, foot, or shin would be the same difference, when everybody knows that it is not? And is it not obvious to any fool with a boomerang made from iridium, tungsten, or plutonium, that it will not fly like one made from roots of Mulga or Black Wattle? 
Hey, ho, helm's a-lee, if birds had hammers for feathers, how would that be for a day at the park, and the interference of a parabola at the pawn shop? A good value is a good value, and some research opinions say modern property insurance can be traced to the Great Fire of London in 1666, which devoured more than 13,000 houses. Insurance at times may be converted from a matter of convenience into one of urgency -- for example, "Petrus ubique pater legum Bononia mater", they say from the first and oldest university in the world. 
Father of all places, mother of the law, let safety come first, and between foot, toe, and shin, "if there is no truth in freedom, the terms ultimately will undermine you".(20)
"Ultima ratio regum", the last measure of kings, Richelieu engraved the cannons, where the Sun orbits the Earth, where Galileo's insane notion that horizontal motion is independent of vertical would lead Newton to conclude that a bullet or cannon ball fired from shoulder height would fall to the ground, away off in the distance, at the same time as another dropped from shoulder height.(21) Truly ridiculous, and time for medication, and only for theory, since by "universal gravity" it would be reckoned that the bullet that is fired should fall at the same rate as the one that is dropped. If there is any uncertainty that these fools cannot be caught in the margins and double talk, have a sniper fire a high powered rifle from a low tripod support, and drop a bullet from that height that is equal to the gun barrel, that would be very low.


Rather, it is plain to see that the horizontal and the vertical are not independent of each other at all. Wherever the question goes, the equation for a straight line, y = mx + b, and every calculus and trigonometric function show they always are in the roots together, in three dimensions of space and time, whether the subject is rest or motion.

After all, there are only six cosmic directions comprised of length, width, and height, variously transposed in patterns of at least two perpendicular planes in one sphere. The cosmos, in fact, logically and universally, from place to place, is everywhere in the form of a sphere, and little spheres within spheres. All realms and corners of space and time, high and low, are resolved in three simple dimensions; and there is no escape, there is no way out, from the ontological power and interstitial superintendence of the cube, the cube of the circle and the cube of the sphere, of course.


Language by nature and convention is choral as much as logic, and the words of epistemology and psychology are round and full as much as space itself (χώρα εαυτός). It takes wooden balls and a stiff mallet to play championship croquet, and there is geometry and room for a swarm of meaning out of a book, and some things and odd sayings may never change. There is even a trinitarian trace in the psychology of the human voice, for example, that shifts around strictly in 3-D. Yet like space and time, as much as the perspective may shift, there is no 4th dimension in it. 

The Psalms and wisdom books are important to world literature that way as pure illustration of three inspired dimensions in one; and the great shifting voice from the clouds and la vie 3-D comes through in many other stories like Theogony, Works and Days, the Illiad, Odyssey, and the Aeneid

"Shifts in voice and addressee are frequent in the Psalms, especially the psalms of lament. These shifts are recognizable by syntactical shifts in subject, predicate, and second or third person addressee. Changes in voice normally entail a shift from first and/or second person to third person discourse, and shifts in addressee usually involve a change from speech directed to the Lord to descriptive speech about the Lord. The recognition of this phenomenon is very important ..."(22)

If one delves into the mind and the phenomena of circular relation, the I may become a you, and the you may become the one, even this or that one, who is or would be one of the ones, and then there follows the sense where one becomes we, and they, et alia. In French they say "on", which means "one", but for the expression becomes "we". Martin Buber described I - Thou relation as dialogical, and I - it relation as monological. For the whole picture of the human voice, however, and therefore also of the mind, the circuit of relation is trinological at the root, like the Mercedes-Benz logo.

"You ain't going nowhere, and neither am I" he said to himself, solipsistically, as they were listening in. He knew they were there, and they did too. Even the air is full of eyes, roundabout, and they knew he knew, and he knew they knew, since it was not any secret that could be kept between them. It was like hidden cameras and spies and billboards everywhere ... in there. So it goes among dedicated eavesdroppers and the paranoid or obsessed by some impetus squared. If there was an occult-action-at-a-distance, it was agreed by all witnesses compelled to be careful; and "we know it", he said to himself and them almost in the middle of nowhere. This problem of 3-D mentality is so vast that it even penetrates pop music, as much as wiretaps. For example, with strumming guitar,

Clouds so swift
Rain won't lift
Gate won't close
Railings froze
Get your mind off wintertime
You ain't goin' nowhere
Whoo-ee ride me high
Tomorrow's the day
My bride's gonna come
Oh, oh, are we gonna fly
Down in the easy chair !

I don't care
How many letters they sent
Morning came and morning went
Pick up your money
And pack up your tent
You ain't goin' nowhere
Whoo-ee ride me high
Tomorrow's the day
My bride's gonna come
Oh, oh, are we gonna fly
Down in the easy chair!


As remedy to life in society, one may suggest the big city. "Nowadays, it is the only desert within our means"(23) ... and so it goes, one, two, three ... alpha, gamma, omega and check the mail for what could be good instead of trouble. For as it was in the past, Merlin warned King Arthur, "men forget where the way leads ... and what they meet with every day seems strange to them,"(24) for "it is the doom of man that he forgets." 





"Howlers and Funny" was a balloon and party business that failed. They say most small businesses fail within a few years, but if there were another actor in Hollywood, a double close enough for Charlie Sheen, a knock-off perfect for cigars, who never smoked crystal meth or crack, with a premier TV show and millions in the bank to laugh about in California, what would that be like, for human interest and enjoyment?


People and friends like to breathe good air, of course, and go everywhere with a good feeling, if they can, but "humility is the solid foundation of all virtues"(25) and also the truth.

A reporter at the airport in London once asked Dr. Albert Schweitzer, "what's wrong with men today ?" 

Dr. Schweitzer answered, "men simply don't think."


And who would know "if the moon's not a balloon, coming out of a keen city in the sky --- filled with gracious people?"(26) he might have said. One day flowers may pick themselves, and Mons Mensae and Table Mountain, and all the planets and stars are in three simple dimensions, certainly, from pole and equator to pole, as well as all the space and time in between them. All it takes are azimuth, altitude, and ascension to describe the coordinates of any planet or star in its course around the earth. No one has seen any light or formal purpose within a set that is distributed in a mathematical range that is greater than 3-D. There is no pattern in logic or the stars that shows any trace of a 4th dimension, or that 1, 2 and 3 of anything equal something other than 6.



Existence itself, ens inquantum ens, as much as sunlight through stained glass, or the ox by the horns, is in the nature of a plenum. And the plenum, in as much as simple being is to all becoming, even as much as people can stand it, is always everywhere in the properties of three dimensions only, even if it were for the intrusion of all mysteries into a room. "To be or not to be", was the famous question of crisis that echoed from Elsinore in Denmark; and the 4th dimension was no more sensible of existence there, between the extremities of tragic drama in a castle, than anywhere else that blindness can see itself. Rem insania scire non potest, non magis quam caecitas se videre.(27) The insanity and corruption cannot be known, any more than blindness can see itself.


Since the way of all needles and crafts always turns against it, only communists could do this sort of thing, contra naturam, and expect others to believe it! Bellarmine and blind Homer were right about "rosy-fingered dawn" in the first place, and whenever people talk about the 4th dimension, it is an intellectual fantasy always expressed in words, terms, and numbers that are only three dimensional.

"Despite all the talk of a fourth dimension, the fundamentals of dimensionality have not changed. Relativity or no relativity, we still have only three spatial dimensions."(28) Indeed, the individual of common sense "is handicapped by coming face-to-face wih a conspiracy so monstrous he can scarcely believe that it exists,"(29) and the 4th dimension is never there in anything that they say or demonstrate for abstraction or the proof. "That object which is central to all of classical general relativity, the four-dimensional spacetime geometry, simply does not exist, except in a classical approximation."(30)

Even the three stooges did not need help from the incomprehensibility of a 4th dimension, for more painful ways of frustration, excruciating sufficiency, and confusion, since there is the fullness of up and down and Heaven and Hell. "The mind is comprehensive of the whole act of existing; it can be identical with the act of existing itself, which is the ultimate principle of intelligibility"(31), and for them, as much as for NASA and the UN, it was a lifetime of classical mathematics with errors and props totally in 3-D.

"We have two ears and one mouth, so we should listen more than we say"(32), and to clear understanding few words suffice: "intelligenti pauca".

Sometimes there is light up ahead at the end of the tunnel, even if it is a Japanese bullet train headed in the spectator's direction. As much as following a trail of constant irony, for the clue of thread into the labyrinth and out, every descriptive trace, block, and curve of the supposed 4th dimension always comes out in one of three ways. The 4th simply is a delusion that cannot even fit inside their minds; and it is not ever in a vacuum either, of course, which would be the other end of impossible; and it is not in cubist art like "Guernica", or the uses of weird science, or any movies or comic books somewhere else. If it were anywhere, it should be right there where they are talking about it the most, speculating and working at it the hardest, with complicated explanations, intricate equations and diagrams, but it never is. It never is there except by complex misrepresentations in 3-D. 


"The greatest part of mankind float between vice and virtue", like turpentine and dandelion wine, "a fire in the belly and a fire in the head, going higher and higher" until they are dead; and to anyone with wide experience more than tunnel vision, it has not been all joy and gladness that everything unfolds in three dimensions. "Misery is manifold"(33), and sometimes reality may be a cruel day to visit. “When you compare the sorrows of real life to the pleasures of the imaginary one, you will never want to live again, only to dream forever.”(34) 

There have been terrible sufferings and pain, and a grievous heavy burden. From the covenant of peace also came sorrow. St. Bartholomew was skinned alive, and some days "shall come kindled as a furnace"(35), where all the proud and wicked shall be stubble, and terrible wrath "shall set them on fire". 


There was a Chinese teacher who played piano, "eighty-eight keys and a little universe", he said. "Quiet thoughts mend the body, and nothing can be accomplished without norms and standards": 静 以 修 身 没 有 规 矩 不 成 方 圆 (jìng yǐ xiū shēn méi yǒu guī ju bù chéng fāng yuán).


"If a man were to say and write all he thinks, there would be nothing more horrible on God's Earth than man", the figure of Diogenes complained.(36) He lived in a great barrel of oak after college, then moved to a horse's tub of fine clay. As any philosopher would, he thought and he reasoned, and he thought about things all day. He thought of all the things that he could, and when he had recollected for a soul and counted all his ways in the presence of mind, there was not any 4th dimension that he recognized in any of it, not even from a glint of whiskey or wine. It was all circles and bubbles of Euclid from summit to abyss, even if for a house or a home or a palace in the clouds passing at noon, then an arc de triomphe de l'étoile at sunset to turn music into gold. 


A the corner, he reckoned that "the vine bears three kinds of grapes: the first of pleasure, the second of intoxication, and the third of disgust." Apuleius wrote in "Metamorphoses", “prima creterra ad sitim pertinet, ad hilaritatem secunda, tertia ad voluptatem, quarta ad insaniam”: the first pitcher is to quench your thirst, the second for joy, and the third for pleasure, and the fourth for madness.

Every cloud has a silver lining 守 得 云 开见 月 明 (shǒu dé yún kāi jiàn yuè míng), and as an oil lamp becomes brighter after trimming, a truth becomes clearer after being discussed: 灯 不 拨 不亮,理 不 辩 不 明 (dēng bù bō bù liàng, lǐ bù biàn bù míng).

"The smoky Moon is no simple drinker of wine", and once upon a time, in the wilderness of rhododendron mountain, burans, gurans and ladybugs on his sleeve, there was an 8th century Chinese poet, Li Po, who used a metonymy of six dragon-steeds, carrying the sun around the earth, to represent the common geometry of space.


"O Sun that rose in the eastern corner of Earth,
Looking as though you came from under the ground,
When you crossed the sky and entered the deep sea,
Where did you stable your six dragon-steeds?

Now and of old your journeys have never ceased:
Strong were that man's limbs
Who could run beside you on your travels to and fro ... "


Three ways of to and fro (in ascension, azimuth, and altitude) for the chariot of the sun make up the six universal directions.


Counting all six dragons, there is not a circle or a sphere anywhere in existence with a trace of the 4th dimension in it; and the circle and the sphere are the best signs of infinity and limitless activity. The form of a circle is complete without beginning or end. It has only one side and one uniform curve all the way around, yet the one side and uniform curve that it has represents innumerability in an infinite number of tangential little sides, as it would go round and round in inifinitesimal points of division, point to point to point, etc. 


The Foucault pendulum cranked up at the equator and division by zero are not better than snowflakes for signs of an infinitesimal; just where the little white mouse disappears for a category, the circumference of a circle divided by its diameter does as well as any, since Pi is an endless number. As the numberless edges hidden as the littlest points in the continuous round side are divided ad infinitum, on and on by the middle it goes, like 1, 2, 3, and ABC, the joy of pi, 3.14159265359 ... forever. Everything people see or experience is between ends, and the circle has the edge of the finest point in between, the angle of radius and diameter.


O, for the beauty of completion, and N-2(180) represents the sum of interior angles of any polygon, and for a circle this number approaches infinity as the figurative limit. And so on, and for all the sargassum in the Sargasso Sea.

O, for the beauty of completion, and N-2(180)/N represents the measure of each interior angle of any polygon; and for a circle this number approaches continuous distribution as approximate 180, 179.999, etc., as reflections in a line, as an infinitesimal number of degrees and angles go all the way around, from point to point to point. And so on, and for all the sargassum in the Sargasso Sea.

If pine cones and little icicles were not proof enough, there are potentially an infinte number of semi-circles contained within a circle. There are always two 180" angles covering each half, from any given point, and the curve of a circle keeps going round and round forever like waves in Huygens' principle.  '"Scientia est potentia" and what comes along the timeline of human experience is in circles. Some circles go up, some down, and as much as the stars go around the Earth, "the wheels go round and round"; and as much as the circles are forms, there are universals and spheres.


Between any two points there must be something there, and each semi-circle and the diameter of opposition facing from the middle are perfectly balanced against each other: fine examples of the reflexive and transitive principles of equality, with yet another 180 degrees in the side of the line from the other side of either one. Duality goes round and round in any two halves of the curve, and the straight line within, as to either the other side, adds to 360 degrees, equalling the total sum in degrees of the one continuous exterior angle of the circle from every point, every once around.


More than the number 8 in numerology, impressive for a karmic equalizer, if anything should be balanced in itself and for knowledge, infinity should be perfectly balanced; and what a thing it would be for a scientist with only two eyeballs and a pair of safety goggles to see it, in itself, from the core, if he could, since it alone is uniquely proportional to everything and to itself: being also the only thing that it is and remains equal to itself: and so is the earth the only thing that is equal to itself, which is not infinite, of course, but is only another circle in 3-D, and that way yet is in the form of a limited sign of "eternity", as a unique sphere under the stars. As representations go, the circle and the sphere are simply the best sets for a way to get an abstract picture of infinity, and so is the astronomy of the Earth, which is in every sign of the ecliptic and all the constellations, and between the ends of the Heavens, all the time, without ever moving.




"Is that all that there is"? she asked. "What else is there? There must be more," and the question at times comes close enough for the answer.


“To be what we are, and to become what we are capable of becoming, is the only end of life,”(37) and when brainwashed heliocentrics would say that the geocentric mind is distorted and must think the earth is flat or believe in the "sky fairy", or Zeus from the Middle Ages, they are not realizing the irony of their own awkward position, that itself would deform the cosmology of earth: by claiming with no scientific evidence, that it is an oblate spheroid, not a sphere, and that it has a sizable equatorial bulge and squeezed-in polar caps.


It does not. No, no, no, not so, and through all the downs as much as the ups, through all confusion, depression, apathy, and tiredness, a correct philosophy of science should still try to recognize the truth, and when all the evidence is otherwise or against it. As a circle would be infinitely flat, for example, in the tiny edges of the corners, and a limit sign of infinity in the numberless round points, so the earth is also "infinitely flat": a sphere of vanishing flatness, with as many little Archimedes points as it has, which nobody can add up for a total any better than Pi, as it goes largely around within the realm of its sphere. And it is not rotating, of course. As far as the observable stillness and flatness of the earth, the days and the years go round and round in many different numbers and cirlces of time and place, but the earth itself remains within its sphere and not in actual motion per se.


"How was the vacation in Florida"? someone asked. "Did you see Lisa Vergara"?


"It was great", came the answer. If people do not already know, in Florida the mountain is the sky, les grand tetons, and the most beautiful for clouds. It is everywhere the top, like boobs of the mermaid and an open bar at the Tiki Hut, with a huge blue tank full of tropical fish. An all-inclusive moveable feast: immueble, what a wonderful bargain vacation experience! If for only one timeshare tour, for an hour and a half, and for the free "Medieval Times" tickets, and a bonus airboat ride without anybody getting killed, it is a special and beautiful edge of the earth on the beach in Florida, as longitudes and latitudes of haecceitas go flat around, in many cubes and circles, in the little interstices of space.

"Very nice".


"We can never cease to be ourselves", even in a storage closet, and with the right attitude shopping at Wal-Mart can be a pleasure, where the round corners of the earth go flat in many aisles and small areas: cubed with innumerability by the acres squared, as it is a circle that becomes a sphere, that vanishes into day and night: and as the uniform curve of a circle represents a little limit sign of infinity, but there is not a 4th dimension in it, of course. The little infinitesimal limits of infinity, and the circular flatness evident in the far away disappearances of the four corners of the earth into space, multiplied all around in so many points of inqury everywhere, as they go around in so many parts, continuously defy the 4th dimension ... quanta ad quantam ad quandos. So it goes ad infinitum, even if Isaac Newton lived for love in a box.


As John Donne wrote, alluding to the apocalypse ... and the "four angels standing on the four corners of the earth ..."


"At the round earth's imagin'd corners, blow
Your trumpets, Angels, and arise, arise
... you numberless infinities"


However confounded and technical the discussions of Riemann, Minkowski, Kaluza, Klein, and of Einstein for Marxist space-time and the 4th, 5th, or n dimensions could be, they are still talking about points and events in space; and any two points in space can yet be joined by one simple straight line, and any straight line joining two points will have only one midpoint. Through the center, the midpoint will also have only two perpendicular planes that are perpendicular to the line joining the two separate points, with four 90 degree angles for the circle in the cross section. And this figure, as much as any others, would be one that could with enough illogical distortion supposedly also be predicated of the hypothetical and irrational zones of Minkowski space-time: and 4th, 5th, or n dimensions ... and only to follow Copernicus and the heliocentric bewilderment and cultivation of stupidities.

All the lines in aggregation will represent only two planes in three dimensions, yet again, and again, and in spite of the mountains of confusion and deception thrown up in favor of the illusions of modernist relativity, and "scientific" materialism. It will always emerge that in natural terms Euclidean space and geometry are definitive, convenient, and complete, for all metric tensors and integrations of calculus, etc. So called relativity of "tangent space", and "nonlocal paradigms and measurements", and whole lexicons of Einsteinian and Judeo-Masonic refuse do not change that; or "that the three angles of a triangle are together [not] more than 180", and that the circumference and diameter of a circle do ... stand in the relationship of pi = 3.14159265359".(38)


In their formulas Minkowski and the other relativists were using mathematical symbols for imaginary quantities which we can neither visualize nor conceive. A farce of the impossible as possible, the very mathematical symbols that are used to denote and calculate the form of the connections involved in their abstractions indicate the impossibility of our doing so. Thus the very mathematical symbols resourced by the followers of relativity to justify their over-the-top adventures in "n" dimensions indicate the purely imaginary character of all their reasoning. From these surreal and irrational postulates and principles of oddity, Einstein built up his entire theory of relativity.(39)


With funny fingers and long nails like a crab, the "4th dimension" recedes beyond the well of reason for obscurities, and it never is there in existence of any transparency or grace of mutabilities, because everywhere change and chance are in 3-D, in one form or another, ad infinitum. So it goes like a little math counting book, little lamb 1, little lamb 2, and some things never change for the technique. The elements of Euclid are universal, since Euclid was right in his drawings and attributions of concurrence, that any relation minimally involves three factors: that on which the relationship is founded or based, the relationship itself, and that end or resolution at which the relationship intends or terminates.(40)


Confucius said "only the wisest and stupidest of men never change".
Between the wise and the stupid, it is for them in the middle proceedings all three, two, one, as much as for all the others at the ends. Then there was one like Steve Jobs, peculiar among mortals, famous for computers and phones and sleeping on the floor, like 1, 2, 3, who said "things do not have to change the world to be important". There once was a visitor to an insane asylum who had to leave at a certain time to catch the city train.

His watch was stopped, so he went into the office to look at the clock there. Nobody was in the office, but one of the inmates. The visitor said to him, "Is that clock correct?"

"You darn fool," said the inmate, "if that clock kept correct time, would it be here?"


Another day a psychiatric graduate student was interning at an insane asylum. He was walking about the grounds, when he noticed one of the inmates wheeling a wheelbarrow upside down.

It seemed like a painful effort. "That's no way to push that thing", said the student. "You've got it upside down."

"Oh, have I?" answered the lunatic, eyes flashing. "I used to push it the other way and they put bricks in it."


And for the mortgage crisis and derivatives of the Jewish gage, "we do not have to visit a madhouse to find disordered minds; our planet is the mental institution of the universe.”(41) Proof for the occasional shetar or once in a millenium disappearance of the most insiginificant point in space and of the trigonometry exists. In fact, many points of trivia and trigonometrical proofs of unimportance could disappear. The most esoteric glyph of the greatest improbability, whatever it could be, if it were found crystallized for a moment among the one and the many, among the circle and the sphere, spun somewhere again in the form of the most ancient and uniform curve, C/D to C/D, could be forgotten, and lost without a trace, like a mask and costume in Chinese face changing, except for what is known about the three dimensions.


So it goes, and the centering of periodicity is such that if there were something everywhere always, it would have as many points as possible all the time. The point in greatest contrast to it would be the least of the microscopic atomic points or particles possible, of the most minor and divided probabilities of atomic existence. Between these two points, the least of the least, and the everywhere always in any one or all of its points, there must be something, at least one frequency in math. Between the nearest and the furthest, if at least one straight line were possible, then a form of Euclid would appear in silhouette and qualify even the void of the abyss.


Even with all wheelbarrows of the world in the hands of a maniac, there is not room for a 4th dimension or any "absolute vacuum", but rather instead there is evidence of a plenum, as much as it is obvious that no two points in space or time can be separated by nothing: not without some trigonometry, for there is hidden ontological proof for the least of anything of something, even the littlest grain of sand or crystal, or tiniest particle of air, that may perhaps exist at all, with even the slightest modicum of possibility between them.


If there is one little point, then there must be another. The little one is not enough for everything of space. Between them there must be more, because the two littlest atomic points are not enough for everything, any more than one of them alone. If there were only one of the littlest subatomic particles in a desert, how alone could it be for involvement of an equation?

If there were a crow on a branch in the top of a tree near the bank of a river, it would be the same thing, qua qua, of a straight line between fine points and another issue of triginometry --- trigonometry of the loneliest crow vs. the littlest atom.





种 瓜 得 瓜, 种 豆 得 豆 (zhòng guā dé guā, zhòng dòu dé dòu) - as a man sows, so shall he reap.

If there were a 4th dimension it should have been discovered by now, since the beginning includes the end, as much as the end includes the beginning, and they both always include the middle. These are only the science of three, but logically and universally they are enough to include everything for one, and they do not include a fourth dimension.


"Their storehouses full, flowing out of this into that"(42), no miller or mill agent has ever discovered any trace of a 4th dimension in any seeds or grain business. It has never been found in any measure of interstellar flour or strangest mountain wheat, and never in any proportion of anything within the Zodiac. Every sign of proportionality (and disproportionality) is always against it.


Not discoverable by any methods of procedure or robust scientific inquiry, or finalization anywhere on Earth, in any trees, rocks, rivers, branches, flowers, or cactuses of whatever kind, it is nowhere to be found in outer space either, beyond low Earth orbit and as far as the eyes can see. There is no splinter or thorn of it anywhere, and all that the most powerful telescopes and satellites ever discover is strictly in 3-D.


Even if under a microscope, in the old Latin mass, the priest prays three times, "Domine, non sum dignus, ut intres sub tectum meum: sed tantum dic verbo, et sanabitur anima mea." Lord, I am not worthy that you should enter under my roof, but only say the word and my soul shall be healed.

The soul has a roof, which is its limit, and like a house, also being a habitation, it is an assembly completed in 3-D. The soul has three principle faculties in one in its memory, understanding, and will, which correspond in a lesser parallel way with the Holy Trinity of Father, Son, and Holy Ghost.

The Kyrie eleison, Christe eleison repertoire of mercy is said nine times, the first trinitarian three for the Father, the second three for the Son, the last three for the Holy Ghost. They say nine is the number of patience, meditation, harmony and it represents the perfection of ideas. According to Etchegoyen, it is the expression of the power of the Holy Spirit.

And Christianity has for revelation of doctrine that God is living in 3-D, and has absolute power, and logic recognizes as well that the fundamental division of ontology is between the infinite and the finite. God is infinite and 3-D on his side, and He does not need a 4th, 5th, or nth dimension or anything else for his life, therefore, neither does anything else in creation.

Omnis consummationis vidi fnem: latum manadatum tuum nimis. I have seen an end of all perfection: thy commandment is exceeding broad.(43)

Omnis sapientia a Deo Domino est, et cum illo fuit semper, et est ante aevum. Harenam maris, et pluviae guttas, et dies saeculi, quis dinumeravit? Altitudinem caeli et latitudinem terrae, et profundum abyssi, quis mensus est? Sapientiam Dei praecedentem omnia, quis investigavit? Prior omnium creata, est sapientia et intellectus prudentiae ab aevo.

All wisdom is from the Lord God above, and hath been always with him, and is before all time. Who hath numbered the sand of the sea, and the drops of rain, and the days of the world? Who hath measured the height of heaven, and the breadth of the earth, and the depth of the abyss? Who hath searched out the wisdom of God that goeth before all things? Wisdom hath been created before all things, and the understanding of prudence from everlasting.


Einstein, Minkowski, and Riemann were bad mathematicians and fools. The communists felt compelled to undermine and taken over mathematics and physics, as much as theology, and that is part of the problem today. They would need a 4th or 5th dimension to hide all the dead bodies and all their groupthink lies, lies, lies and stolen goods and money; but Dante had everything ultimate of refinement and judgment in 3-D circles, spheres, and bolgias, from top to bottom of committee and creation.

However many realms, places, spiritual or physical conditions there may be in existence, who knows, but a reasonable Christian or Socratic can know they are all in some procession of 3-D, as much as all the sky and space: and God sees everything. Even Hesiod thought as much, that Jupiter (iudex pater) saw everything --- and it may be of interest for etymology of words, as much as the history of astronomy, to note that the Greek words for Lord, κύριος, and space, χώρος, are closely related: joined for theory and practice, as one implies the other, since it is the business of the principle named in a word to express also the nature. 


"Homo vanitati adsimilatus est: dies eius quasi umbra pertransiens". Man is like to vanity: his days pass away like a shadow(44), and the whole story, full of sorrow and pain, foolish or otherwise, is only always in 3-D.

"Miseris succurrere ea didicit", she learned by consoling the forlorn, a line of graffiti from the Aeneid, as if it would be a voiced sign of Pisces Venus; and 4th or more dimensions could not add anything to it, or suicide of the most difficult tragedy. "There is a wisdom that is woe; but there is a woe that is madness," for humans in over their head for lack of understanding.

Stubbed toes usually are among the barefoot children, or the inebriated and exiled among the poor, but if anyone feels so much pain that he could die on foot, before he hanged himself, or he cannot make it one more step forward in life, from trying to learn what he cannot understand, a little etymology may help, to create a better sense of connection for a moment.

For instance, the Latin words for foot (pes) and hope (spes) are related for some reason, and it does not end there. They also are related to pace, space, and peace in English. Magister ait, "pax Domini vobiscum, hic et ubique terrarum"; and "spatium in pace" is a space in peace, in Latin, for example.


Words may affect people, like cause and effect, and they say the influence of "peace begins with a smile", even if it may not last very long. "The dove, on silver pinions, winged her peaceful way", and Little Charlotte was as pretty as the angels when they sing.

“If you're going to be crazy, you have to get paid for it or else you're going to be locked up,” she added, like she was stuck inside the TV between a crystal and a cube.

If she was from IMDB, there was magic in the air, and music, logic and reruns have not changed from the stone age: or since blind Homer passed away.

The perfect image awaits in the baggage train, lighted for the apple of the eye, and with a single ear jaded science hearkens to thee. Even the fall of Troy called it and signed it. The perennial and archaic community of amusements, ancients, middles, and moderns signaled and claimed it too. In fact, they eye'd it and spied it and sought it. They sighed it, cooed it, wooed it, and booked it. As many as were there, who had the will or the way, took turns and bought it, looked at it, had it, squeezed it, rapped it, tapped it, and passed it around. They gamed it up, played it, gambled it, risked it, riffed it, rigged it, weighed it, throttled it, issued it, wheeled it, engine'd it, burned rubber with it, and scoped it all out.

Things went further with a power of transformation, and feeling good they nipped it, snapped it, snipped it, shagged it, bagged it, pinched it, rolled it, smoked it, toked it, and took it for the Saturnine Sugarplum Fairy. There was a love for sandwiches, souvenirs, and ice cream, and there were drugs in the rugs and ghosts in the walls, even around the golf course, where they hooked it, sliced it, diced it, shanked it, skyed it, topped it, putt-putted it, taped it, tee'd it, blistered it, drilled it, nailed it, ripped it, swung it, brung it, flung it, leaked it, snaked it, lipped it, waggled it, wiggled it, skipped it, slipped it, dipped it, slapped it, zapped it, smacked it, chipped it, touched it, gloved it, pitched it, slid it, threw it, tossed it, traded it, traced it, aced it, ribboned it, wrinkled it, raffled it, backed it, queued it, thumbed it, thumped it, fished it, fingered it, marked it, ragged it, flagged it, wrung it out, washed it, foxed it, fixed it, fastened it, castered it, swiveled it, and then rediscovered it.

One of them there as much a plucky fool as the others, and a man who knew no fear, said, "all I ask is the chance to prove that money can't make me happy", and they collateralized it, crenellated it, brewed it, sued it, aired it, cooled it, cued it, kief boxed it for doughnuts, syndicated it, proved it, moved it, cabbed it, screwed it, rued it, pie'd it, fried it, baked it, caked it, boiled it, almost murdered it and then backed it off.

The judges, princes, florists, and independent contractors of the land cupped it in the blink of an eye, and honey-bee'd it, kissed it, tabled it, tippled it, tipped it, stitched it, ditched it, adored it, snored it festooned with garlands, kept it, tickled it, soothed it, lubed it, soaked it, steeped it, twisted it, fondled it, coiled it, whispered it, swayed it, played it again, crushed it, rushed it, swarmed it, measured it, grilled it, pumped it, thumped it for flocks and snake oil, tackled it, muscled it, oiled it, tussled it, stretched it, walked it, talked it, stood on one leg with it like fairies, toasted it, roasted it, mosted it, feasted it, esteemed it, embraced it repeatedly, fumbled it, smashed it, danced it, dropped it, pranced it, picked it, drove it, peckered it, puckered it, smuckered it, poked it, spanked it, stroked it, greased it, dibbled it, dabbed it, dapped it, knuckled it, bruised it, injured it, tainted it, poisoned it, pickled it, valued it, carded it, poker'd it, and couponed it.

The thing would never tire from exhaustion, and there was a surprising castle and drove of cattle by the way in Scotland, where the rubric guided them further, and they fermented it, aged it, distilled it, sold it, toppled it, bottled it, shook it, lassoed it, hounded it, pounded it, pommeled it, estopped it, bumped it, stumped it, roped it, tied it, knotted it, exorcised it for the devil, demons, and misfortune, whipped it, kicked it, kitchened it, cooked it, mixed it, cherished it, brushed it, painted it, sketched it, kinko'd it with frames and paper, treasured it, spoiled it, fiddled it, diddled it, naughtied it, folded it, molded it, lumped it, papier-mâchéd it, plastered and sculpted it very much good and sponsored it again, spooned it, forked it, cut it, sawed it, carved it, hammered it, analyzed it, feminized it, turned it, burned it, and bundled it for comfies.

They hallowed it with incense and related it for all, sniffed it, smelled it, smooched it, sneezed it, snoozed it, nubbed it, rubbed it, and knobbed it. Then they almost disavowed it, but scratched it, wiped it, knee'd it, toe'd it, bit it, tasted it, savored it, chewed it, spewed it, consumed it, licked their chops over it and cleaned it, petted it, patted it, wanted it and wanted it, cloved it and loved the thing more and more, fugued it, pflugued it, plugged it, pflugged it, pfeiffered it, dressed it up in clothes and sang to it like Scarface for Christmas Carols, fashioned it, wintered it, cuddled it, cottoned it, liked it, wrapped it up in blankets and slept with it, buddied it, befriended it and friended it, birdied it, cutied it, wished-and-welled it, kissed it lightly, wedded it, defended it for relations, buttered it, consummated it, cheated it, ravished it, ode-to-joyed for it, wrote it all out for a formula and returning convenience, and could not count all the ways that they could not live without it, and reckoned that they could neither fit it all in, even if they remembered everything from beginning to end, and they thereof did eat also the golden apple of discord, the juicy giant melon, sumptuous as it was, and hidden in the scheme of things, μῆλον τῆς Ἔριδος, and fell off the way and off the cliff drunk as Calvados.


If it made them sick, they never knew for obsessions, and then there was at another distant time the otherwise obscure occurrence of the utter destruction of Carthage, that followed in the seasons and train of Rome, the famed City of Seven Hills. All by reason, of course, and in fact the logic that comes from the stone age is still good: as good as the Encomium of Helen, for example, or the punishing salt and fire on the Tunisian plain.

Steve McQueen was not there to dramatize the effect, okay, but "Carthago delenda est", et cetera, Q.E.D. for Hollywood.

"You sell whatever you want, but don't sell it here tonight." The flames were climbing higher and higher up into the night.

"Quo vadis"? they asked. "Where are you going"?

Ducunt volentem fata, nolentem trahunt. Fate leads the willing, the unwilling it drags.

As much as that and such things, cruel logic is what all scientists must use since it simply is the best. "Le miracle est logique, et même banal, en ce qu'il dévoile la suprématie de l'inventeur sur son invention, du moteur sur la machine, de la cause sur ses effets."(45) The miracle is logic, if commonplace the same, for it reveals the supremacy of inventor over invention, of motor over machine, of cause over the effects.


When something is right and simple on the way, or has enough steam to fill the plenum, like the dream of Scipio, for instance, or instead is doomed by complications, like Carthage, it is just the way that it is and everybody knows it. Like Horace and the fates, or Tom Petty and the Heartbreakers, the truth is one, the great sign of the all-inclusive through the days, and in it there is no place for progress, not beyond one in three. Except where it is a question of material inventions, some development of craftsmanship, and artifice, et cetera, the things in the numbers are the same, "there being nothing older than the truth".(46)


"Besides, in a centred mind, it signifies nothing how many mechanical inventions you exhibit. Though you add millions, and never so surprising, the fact of mechanics has not gained a grain’s weight. The spiritual fact remains unalterable, by many or by few particulars; as no mountain is of any appreciable height to break the curve of the sphere."(47) However far gadgets may advance and multiply, this way or that, the mechanical arts and technology do not change the ontological reality of the truth and its logic. They merely reveal more of it in different and little ways, and none of them show any signs of a 4th dimension in space or time.


Si l'espine non pique quand nai,
A peine pique jamai

If a thorn pricks not at its birth,
It will hardly prick at all

If something like the so-called 4th dimension was not inchoate in the math and logic of potential things from the beginning, it never will be developed in them later. Even when it takes a long time to figure out what is true for a solution, what is true was already so from the beginning. What comes out of the seed is what was in it, and all work is as seed sown; it grows and spreads, and sows itself anew; and one only fools himself when he seeds badly.





Since so-called "gravity" is merely a coextensive attribute of being, by natural weight and elemental compression, and there are only six directions of extension in space, Cavendish should more accurately have used the magic number 6 instead of 6.754 in his formula equation for Big G. After all, the many repetitions of three dimensions, of any two perpendicular planes, that range in six overall cosmic directions, form the universal background for gravity. To keep it simple, therefore, 3 x 2 = 6, and there would be Big “G” 6.0 and little “g”(9.8) by special design of marbles and laboratory ramps. This much can be discovered too by anybody with some golf balls, a putter, and a pack of cigarettes, or a bag of Doritos, and as much to cry about as Boethius, as much as with any torsion balance or atomic interferometer.

"Rotam volubili orbe versamus", turning the wheel of fortune as swifltly as she pleases, she goes; and so-called "gravity" is not even a lateral or vertical force, from one end of real estate to all the others; and it is not, in fact, a force of any practical or significant measure in real physics, and there is not a 4th dimension to speak of and make sense. Therefore, gravity does not have anywhere to hide; and there is no where that it can be found, beyond any extension in space and time that is out of the six principle cosmic directions.

Since in natural units it is convenient to set Big "G" equal to 1 anyway, the formula for universal gravity can be as simple as 6 x 1/ 6 x 1 = 1. A unified duality of two sixes in one, like snake eyes facing each other in dice. Phenomena come and go, and go in and out.

Some people may deny that things should be so simple, and insist they will never stop being more complicated, and that there is a 4th dimension, and Minkowski, Einstein, Carl Sagan and the others are not fools; but they will never find any proof, and they will only go round and round in circles ... ad infinitum in 3-D. Like bad music old as the hills, a headache consists in the form of the measure, and there are three ways to define a thing: by the thing itself, what it is like for sameness, and what it does.




So it goes, and the universal seed of logic in the syllogism is strictly 3-D, and like the arc of the rainbow, a sign "of a magnitude that has remained unsurpassed".(48) There are the two propositions, the major and the minor premise, and the conclusion. The two propositions and the conclusion are always qualified by their significance in three parts: the subject term, the predicate term, and the copula. The qualification of extent by the quantifier is also three dimensional. When one reasons correctly, if the premises of the argument are true, it will be impossible for the conclusion to be false, and there is never a twist from "n plus" dimensions to spoil any of the salt.

A maxim the Stoics used to say was that "a kind act is made up of three parts: firstly, the giver's, secondly the recipient's, and thirdly the rewarder's; and that the recipient amply rewards the giver if he willingly accepts the gift and keeps it perpetually in his memory."(49)


善 有 善 报 (shàn yǒu shàn bào), do well and have well, they say by the seasons in China, and so many things come in three's, on land, on water, and in the air, that they cannot all be counted any more than the wind. The universal way of diplomacy and negotiation and 20 Questions is always three, in person, place, or thing; and all argumentation and arbitration that follows is only of three kinds, in demonstrations, proofs, and probabilities.(50) "Nature is an endless combination and repetition of very few laws. She hums the old well-known air through innumerable variations,"(51) and as much as music is kin to math, there are three universal functions in the circle over it all in sine, cosine, and tangent, and three kinds of waves that follow: and three again for transverse, longitudinal, and surface: and three again in matter, electromagnetic, and mechanical.

The meaning of a sign has a general mode of being superior to its particular instances, and consists as well in a triadic relation over and above the three individual terms (for example, sign-vehicle, signified, and intepretant) that it connects. And likewise there are only three orders of cause in nature that follow in the efficient, coincidental, and accidental; and in grammar it all boils down to subject, verb, and object. There is the subject and predicate of cause and effect, with the verbal process and connection between them for the third part. The eight parts of speech follow the first three of noun, verb, and the predicate modifier, and there are three kinds of conjunctions.

Every speech has an introduction, a body, and a conclusion, and the three parts of an ideal paragraph are a topic sentence, supporting sentences, and a concluding sentence. As Aristotle taught rhetoric, "in making a speech one must study three points: first, the means of producing persuasion; second, the language; third the proper arrangement of the various parts of the speech."

Besides conversation, speeches, the news, and telling stories, people often make do with lists, and it is such a common experience to list things that Umberto Eco said in his opinion that "the list is the origin of culture. It is part of the history of art and literature". By some design in the numbers lists create a framework, as much as they represent a figure within the understanding, as much as they inhabit the memory, and Eco even expressed the strange opinion that people "like lists because we do not want to die."

And "no one wants to die. Even people who want to go to Heaven do not want to die to get there."(52)


If not once or twice, the third time is a charm, and many things come in three's, like the celestine trifecta. If there was a presentation of a list of all things that are in three parts, and also that are one, it would include an introduction, a body, and a conclusion. In intelligent communication and grammar there is first, second, and third person, which are enough for all the cases of voice, whether in singular or plural. There is only past, present, and future in time, of course, like yesterday, today, and tomorrow tapping foreheads, hanging from mirrors, rattling tea cups; and the mind has within its sphere only three root faculties of memory, understanding, and will that go round and round in circles for one.


"The structure of every sentence is a lesson in logic" and a virtual exercise in 3-D.(53) As much in logic as in chess, and all other sports, the three important elements are time, space, and material; and there are only as many as three ways for any king to escape checkmate. He can move to a safe square where he cannot be captured, or he can block the check by interposition, or he can capture the enemy piece. And a king cannot castle in check, into check, or through check. Those are three no no's in him, with him, and through him.

And the mind works by three degrees when it intellectually perceives a subject. There is the subject, the faculty of perception, and the contemplation that proceeds from them both. In a name, word, or number that fructifies in the mind there are three parts of cognitive awareness in virtue of denomination, perception, and recollection. In Christianity, all blessings and prayers, and the greatest happiness of eternal life (perpetua capiamus gaudia vitae, etc.) are in three dimensions: in the name of the Father, and of the Son, and of the Holy Ghost. In theology, there are three levels of activity in the natural, preternatural, and supernatural and none can escape the Trinity. The trivium of classical education follows the pattern too by grammar, logic, and rhetoric.

Clostridio Bucalino wrote in his "Encyclopaedia Confiteor Confundatii" that "in statistics it is mean, median, and mode and every statistic is in a circle. Therefore, averages are signs from Heaven, and God almighty is three in one. So it goes for all purposes of information and spying."

"Therefore, when the mind knows itself and loves itself, there remains a trinity, that is the mind, love, and knowledge." And the mind here is accepted not simply for the soul, "but for that which is the more excellent in the soul."(54) Every sphere and every vision in the cosmos, as much as every word, is in 3-D. In physics and science there are only three key parts in time, space, and energy. All mathematical formulas of algebra, calculus, and geometry are in 3-D and proportional in only three dimensions. "Every positive integer is representable as a sum of at most three triangular numbers,"(55) and everything in existence and existence itself can be represented by at least that and a factor of one. As well, there are only three parts to any financial position: assets, liabilities, and owner's equity. 

There is not a road to infinity or any pattern of increase that has a 4th dimension and logic. For instance, imagine that hidden in the Great Smoky Mountains, not far from Lost Cave, Tennessee, or the timeshares in Gatlinburg, there is an infinitely long bridge about three feet wide, made from dark wooden planks taken from the devil's most complex mill. Then take a saw and begin cutting from the bridge many identical little cubes. Since the bridge is infinitely long into the abyss, an infinite number of cubes can be cut from it. On and on it goes, with mountains of rich tiny cubes.

The eerie devil's mill bridge into infinity made from wooden planks does not take up much room in its small steps, foot by foot, by foot or hoof, yet it goes on forever, and the cubes go higher and higher. There is no end in sight, but being only three feet wide, even little people and many illegal Mexicans, trying to escape the long arm of Donald Trump, could easily hop across it, or fall off, if not careful. Still, if as many little cubes as possible were cut from the bridge, someone could begin to fill the universe with them. Since the bridge is infinite, it goes on and on, and an infinite number of cubes could be cut from it, and with time they could fill up the entire universe. All that would be needed is to put a small cube first in a red wheelbarrow, and then over and over again, building a bigger cube over and over and over around it. Watch it go. The little cubes will bury the wheelbarrow and everything in sight.

Eventually the cube would become colossal and fill the entire cosmos, and there would be no 4th dimension anywhere in any of it, and no room for anything else. What could not fit in it could not fit in anywhere else either, even a tricky old snake, unless he were buried in the pile.


Nec plus ultra, nothing further beyond, except infinity, and all by three in one three in one. As much as billions in China, if the geometry experiment descends into the abyss or ascends to the stars, the way of gains and losses, accomplishments or failures, follows a path set in 3-D. The colossal cube could be contained within one cosmic sphere of the greatest size, like a balloon that contained every other geometric figure and everything possible, yet no where within any of it would there be any trace of a 4th dimension.*  


Even if there are magicians or other strange other-worldly beings who can make themselves disappear, and then reappear, materializing "out of nowhere" and thin air, and passing through walls, that does not mean that they go in and out of a 4th dimension. There is something else unseen within the trick, maybe something preternatural or supernatural, but it is something mysteriously weird and magical in 3-D, since it is part of the unification.

There are three parts to a magic trick. As Cutter in "The Prestige" said, “Every great magic trick consists of three parts or acts. The first part is called 'The Pledge'. The magician shows you something ordinary: a deck of cards, a bird or a man. He shows you this object. Perhaps he asks you to inspect it to see if it is indeed real, unaltered, normal. But of course ... it probably isn't.

The second act is called 'The Turn'. The magician takes the ordinary something and makes it do something extraordinary. Now you're looking for the secret ... but you won't find it, because of course you're not really looking. You don't really want to know. You want to be fooled. But you wouldn't clap yet. Because making something disappear isn't enough; you have to bring it back.

That's why every magic trick has a third act, the hardest part, the part we call 'The Prestige'.”

Magic would not be complete without at least some smoke and fire, and, by coincidence, the components of the fire triangle are three: oxygen, heat, and fuel.

Old Aristotelian entelechia is a simple three-ring circus of origin, effciency, and end; and some philopsophers say the mind is like a fire, and the three components of transcendentalism combine aspects of the intellectual, the aesthetic, and the spiritual. In a similar way, all useful energy is a simple network of three parts in the generator, the transmission, and the grid. 




"A good many things go around in the dark besides Santa Claus",(56) and one old joke that is not too funny says that there are only three things that God does not know:

1. what a Jesuit is actually thinking
2. how many different orders of nuns there are
3. and how much money the Francsicans have


There were three mysterious men who visited Abraham at his tent, and monks who have spent time on the vine, and consider they are too tricky for the world, when they know as much about money for improvements and fine beverages, say that the three basic functions of money are only as medium of exchange, measure of value, and store of wealth. And the three theological virtues of Christian religion are faith, hope, and charity, and the three purposes of any house are stability, prosperity, and happiness, and so forth.


If a good and cheerful soul would be a little temple of prayer and contemplation, then also for 3-D, with little birdlike friends in the spirit flying in and about, whereby faith, understanding, and counsel may be cultivated in the breadth, length, and height of that wisdom which surpasses all knowledge, even among the cherubim. Little elves and fairies like Tinkerbell only want peace, that the spirit and roots of animation may be enriched even to the happiness of life in the Trinity, for more than a demi-puppet to hear the solemn curfew, and not fall away into the dreadful abysss far below.

Where St. Paul mentions "depth" in Ephesians, he does not mean a 4th dimension, but only magnitude of grace, and increase to the everlasting realm in 3-D ... in nomine Patris et Filii et Spiritus Sancti, etc. The Bible never mentions a 4th dimension, of course. There was not one in the pillar of fire or the pillar of cloud; there was not one in any flash of lightning from storm or smoke; and Moses never saw one in the burning bush, or in the parting of the Red Sea. By leviathan and the ancient Dog Star in the sky, the Egyptians could not find any 4th or 5th dimension either, and for all the trouble of the Nile flooding in its seasons and all the plagues.


Plato taught that there were three principle faculties within the sphere of a human soul in the appetitive, rational, and the spirited, and Aristotle recognized essentially the same thing.


Since whatever is of motion is a question of animation, the Platonic theory of the soul (Latin "anima", soul, breath) is not alienated from the classical theory of impetus, momentum, and "motivation" based on potential and actual forces. Specific animation by constructive design and actualization explains the world of motion better than Newtonian "gravity". The Platonic concept of the soul with three faculties in one (rational, appetitive, and spiritual) parallels the assimilation of other animated forces in nature. In natural terms of the real material world of physics, constructive design present in elemental structure, readiness of potential motion, and actualization of force would be like the rational, appetitive, and spirited: like a car, the key, and the ignition, etc.



Besides the overall attributes of animated forces, many more things are organized in three parts to be perfect. For example, the three basic areas of driving are decisiveness, communication of intention, and vision; and in piloting a plane, there are only pitch, yaw, and roll.


The three basic steps in the printmaking process are creating the printing plate, inking the plate, then transferring the image to the plate, and the three basic parts of a firearm are the action, stock, and barrel.

The three basic parts of the calendar and astronomy are the Earth, Sun, and Moon; and the three basic subatomic particles are neutrons, electrons, and protons. The three main parts of a cell are cell membrane, nucleus, and cytoplasm; and the three main parts of a plant are roots, stems, and leaves. The three main parts of a neuron are cell body, axon, and dendrites; and three main parts of a brain are cerebrum, cerebellum, and brain stem.

The three main parts of education are the three r’s, reading, writing, and arithmetic, and so it goes ad infinitum; and for a few more, the three main parts of a sphere are radius, circumference, and volume; as the three main parts of space are length, width, and height; and the three main parts in duality of a cube are front and back, the sides, and top and bottom. The three parts of life of a natural creature are genesis, growth, and nutrition; and the three extrinsic parts of a rhetorical situation are the issue of exigence, the audience, and the set of constraints.

A thesis statement likewise has three main parts: the limited subject, the precise opinion, and the blueprint of reasons; and the goodness of a moral act is determined by three elements in object, intention, and circumstances.

In acting, there are three main tools of voice, body, and imagination, and in business the three forms of work are manufacturing, service, and merchandising, and for all the math to assess eveything there are equalities, inequalities, and functions.

Out of all the repetition of so many things in three's and all kinds of increase, there is no room or angle for a 4th dimension. No, no, no, and time is not from a 4th dimension. Time is not independent of space, as much as vertical is not independent of horizontal, and space and time cannot be separated. Time is always three and one in past, present, and future, and time necessitates space, as much as space necessitates time, as much as two points in time, like two points in space, cannot be separated by nothing.

There is always some kind of energy or procession between them and the salt that is the third wave. We have time because everything cannot happen at the same time, and we have space because everything cannot happen in the same place; natural motion is not and cannot be instantaneous, and there is not any time or space without some associate property of energy, however subtle or rarefied.

Dante's "Divine Comedy" is one vast convention in three parts: the Inferno, the Purgatorio, and the Paridisio, and every circle, sphere and bolgia at whatever level from top to bottom in the book is naturally in 3-D.

Even the egregious hoax of Foucault’s pendulum, which would supposedly discover a bridge into infinity, by division from zero at the equator, with a hidden gyroscope and its supposedly fixed plane of cosmic oscillation, has never given any sign of a 4th dimension. Therefore, the 4th dimension is merely fantasy, like Foucault's pendulum at the equator would be detailing infinity à l'envers.



(* The term "infinity" can be used in two different senses. It can mean innumerability and things that run beyond practical measure. This is the "potential infinity" that can "fit" inside some people's heads for a thought experiment. Then there is "absolute infinity", which is also "actual infinity", or unmitigated infinity, which simply cannot fit inside people's heads and cannot be fathomed by parts or any measures. Nobody can count their way into absolute infinity by exponents or any kind of calculus.)






After studying proofs for division by zero, and that all numbers equal all others, including trillions in the markets to one index finger on the button, Foucault's pendulum runs into the same problems as Galileo's marbles and Newtons's musket balls ... ad infinitum.

Natural space is not "absolute" in the sense of present infinitude. Instead it comes mixed together, ex post facto, a limited composite resolved in proportions, arranged and collected together in many different and merely extensive parts. So-called "absolute space" predicated of absolute infinity cannot be rendered or connected together into a collection of many parts or quanta, however great or extensive, since that which would be predicated of absolute infinitude is beyond natural comprehension.


For example, if one traveled to Mars and then to the most distant star, it would have been only halfway to the point that was twice as far away. If one then went to the point that was twice as far away, it would still not have been halfway or any part of the way into infinity, because infinitude simply cannot be fathomed by parts. Halfway to the point that is twice as far away is as far as any natural motion can go to reach the limitless edge that always vanishes beyond measure. The infinite quality cannot be contained, and any kind of infinity is infinite, absolutely, and beyond all quanta, and no natural numbers, weights, or lights, et cetera, however great, can be infinite ... of themselves.


"Nunc dimittis servum tuum in pace, Domine, secundum verbum tuum, quia viderunt oculi mei salutare tuum", prayed the old man Simeon in the Temple. And in extensive concurrence with Huygens' principle, the mathematics of the cosmos is in the form of a sphere, and many various spheres; and there are a few ways to recognize that the cosmos overall is a sphere, and that it is not infinite, even without the help of satellites.

For example, that which "is absolutely infinite cannot be excelled" --- since "any perfection that can exist in numerically different things is more perfect if it exist in several than if it exist merely in one. Therefore, what is absolutely infinite cannot be found in several numerically different things,"(57) yet we see things in nature excelling by numbers from day to day. Wherefore "the infinite is that which exceeds the finite, not exactly by reason of any finite measure, but in excess of any measure that could be assigned".(58)



"Man is the child of customs, not the child of his ancestors",(59) and even with billion dollar wrenches from NASA, it may be impossible to reach Saturn with a golf ball retriever; but if there were innumerable ones extended as far as Saturn, from all around the surface of the Earth, it would create the appearance of a spiked sphere in outer space, like a gumball from a sweetgum tree. If all extensions to the range of Saturn could continue on equidistant with the most distant star, they would make another sphere, and if they then went only halfway to the point that was farthest away from Saturn, then halfway to the point that was twice as far away as them all, the overall pattern that would emerge would be three more spheres. So gumball added to gumballs the cosmos must be a sphere.

Whatever its radius, the form of the cosmos is a sphere, and the Earth is the sphere at rest at its center; and Kepler's law of the ellipse simply does not fit the spherical nature and place of the Earth in the cosmos.




The greatest circle goes around the circle, and if it is called absolute, space is still fractional in the corners. This is also the pattern in best agreement with all the telescopic evidence from outer space, including extensive studies of the isotropy of the cosmic microwave background radiation, the CMB dipole, gamma radiation and gamma ray bursts, X-ray clusters, quasars, and the spherically layered distribution of distant star cluters around the earth, and the doppler effects of redshift in starlight, etc. "The simple interpretation is that all the radiation in the universe, whether it is symmetric or asymmetric, is centered around the Earth. All the data show that, as far out as our telescopes can see, space is oriented geocentrically."(60)

As far back as the 8th century BC, Isaiah described the earth and the universe as a sphere. "It is he that sitteth upon the globe of the earth, and the inhabitants thereof are as locusts: he that stretcheth out the heavens as nothing, and spreadeth them out as a tent to dwell in."

Qui sedet super gyrum terrae et habitatores eius sunt quasi lucustae qui extendit velut nihilum caelos et expandit eos sicut tabernaculum ad inhabitandum.(61)

The heavens and the planets and stars are stretched out all around the earth, which is a sphere within spheres. The celestial orbs are spread out as circles. This is what Anaximander, Anaximenes, Pythagoras, Xenophanes, Parmenides, Plato, Eudoxus, Aritstole, Ptolemy, Tycho Brahe, Riccioli and many others believed. Copernicus himself was still in circles before Kepler and the ellipse. And Newtonian gravitation is not a terrestrial or cosmic force of any significance. Within the larger picture from the greatest sphere, there is not any normative sense of "up or down", except for the label, and since gravity is not at all a lateral force, and the earth and the cosmos are all in spheres, after spheres, then it is not a vertical one either.


Any vertical column from a sphere is lateral to many sets, and many sets of four corners, formed in steps at ninety degrees of the uniform curve, and all the way around that is their circle. The latitude always makes a longitude and the longitude always makes a latitude, either way if the labels are reversed.

And, certainly, the infinite does not speed up or increase. It remains the same as much as the infinite divisibility of extension is total absurdity. If there were an infinite motion, it would have to be instantaneous and indivisible. It would be unlimited and beyond measure. Therefore, an infinite motion would have to be supernatural, whereas natural motion cannot occur instantaneously or remain indivisible. Natural motion cannot occur in a single instant, and that way be beyond measure, but must pass through different instants by division, even if the instants would begin to seem microcosmic or difficult to number. An indivisible singularity that would be perfectly continuous with motion would not be something natural, since any natural motion must always have at least two parts. Natural motion is everywhere inflected by some division, some fractional bias, whereas any infinite motion in what would be called "absolute space" is not.





just for a look ...

A man who was walking home from work downtown in the city passed a halfway house for indigent parolees from the mental health and substance abuse clinics. There was a tall wooden fence along the sidewalk and the sides, for total enclosure. He couldn't see over, but he could hear from the yard the excited voices of the inmates inside laughing and shouting "twelve, twelve, twelve".

The planks of the fence were so tightly placed together that no one could see through any cracks. When he saw a hole in the fence, he decided to look in to see what was going on. All of a sudden, he was poked in the eye with a stick. They all started shouting "thirteen, thirteen, thirteen."



(One Thanksgiving holiday Colonel Bonaventure and a visiting granddaughter, a high school cheerleader at the time, were watching Carl Sagan expostulate on a TV rerun about Edwin Abbot's book "Flatland", and the 4th dimension and "tesseracts". They were so entertained by his depiction of a hyper-cubed tesseract that they managed to write a poem in response, even if not very good, as it may be for an odd occasion.)



Junior Varsity Invocation to a Tesseract


O tesseract, O tesseract!
where have you gone?

Sans wisdom, you could be exact
such as was song

Saw you in the funny papers
so crazy cool

Full of mischief, a real caper
too cool for school

No one's seen you in sand pebbles
roses or thorns

From yon 4th dimension revels
trumpet your horn

One sign from you could bring more mirth
than cold green beer

and all the wisdom of this earth
twinkling with cheer

You know how to spin a handle
out of thin air

If you were stuck in my sandal
would i not care?





If a tesseract was stuck inside somebody's shoe, and he examined it as closely as possible, the thing-in-itself --- das Ding an sich ---would only manifest in 3-D. If it was from yon 4th dimension, one could never tell for analysis of the confusion. If it looked like something that might enjoy a better explanation than just looking at it, and staring, he could ask a scientist for help, and if he could get directions to the 4th dimension, so he could return it.

Many scientistists would try and think they are making sense, but it would only be more bad directions. The teachers of heliocentric doctrine and relativity will say, however, that this is because you are trapped in three dimensions and cannot comprehend the 4th.


They have a way to suppose that it is no surprise that math should hurt the brain, and that from three dimensions one is unable to discover the fourth; as supposedly from two dimensions, one would be unable to discover the following third, if it was not already known that it was in existence. What one sees of the hyper-cubed tesseract limited in three dimensions, that was caught in the shoe, therefore, is only a shadow of the fourth, so to speak.


A postulant of the 4th, 5th, or n dimensions may continue, that "if a coordinate system is everywhere restricted to four opposite directions, from two intersecting lines in one plane, there would be no way to tell that there was a third dimension. Therefore, as well, when a coordinate system is three dimensional, we only imagine that it is complete because we are unable to recognize a fourth dimension in it, except by the weirdest whisper of a shadow.


To illustrate, for example, imagine that we are perfectly flat, so absolutely flat, as flat as we can be, and that we live in a place called "Flatland". In this community, everybody would be exceptionally level, of course. The citizens would have width and length but no height at all. As the flatest circles, squares, triangles, and other two dimensional figures go, we would circulate about in our geometry and pursue the flatest business in the world in the flatest buildings and very level flat places.


According to experience as Flatlanders, we would only know about four sides to a subject: left and right, forward and back, but we have never heard of up and down. Our awareness there is kept completely horizontal, with no direct recognition of the vertical, and our situation here would be similar to that, when we try to imagine the fourth dimension, et cetera.


This is the fantasy land described by Edwin Abbot in his science fiction account, "Flatland", a satirical novella first published in 1884, that would help convey in some way the imaginary existence of a 4th dimension. By limiting the perspective, with removal of one side of things, by restricting the three we know to two, a cloud of unknowing would descend, sufficient that from two dimensions one should be able to discern by illustration of analogy in the confusion that there would also be a fourth.


But is this really true, and logical, or only science fiction? On the other hand, could a Flatlander not reasonably begin to figure out one day that there must be a third dimension in space but never, and forever never, a fourth, even without visitation of a higher being from the third?


It should be obvious at least that there are two sides to things, even in Flatland. There is always a beginning and an end, since everything has at least two sides. Duality of rotation looked at from either side of four directions, from this way to that way, clockwise or counter-clockwise, creates the indirect impression of a sphere, overall, or a rubik's cube, since the two sides are opposite in mathematical intention.

Every aspect has at least two sides and a middle, and people mull things over in 3-D. There is the mind itself, that is one, the declension of inflection, as reflection, that is two, and the process of retension, or conjugation of conjunction in between, that is three ...



Even with the greatest of flatness possible, the thinnest figures in Flatland will still have at least some edge for their borders. If the factor "y" of the vertical axis was really zero, in terms of existence not only denial of location, then Flatland would not be able to exist, because the horizontal is not independent of the vertical. x is not independent of y, and zero times zero is zero, only zero of zero by the sea, where there would be no summer waves. If there was no vertical of even the most leveled and lowest sort, there would be no horizontal, because without some quality of the vertical there would not be any space.


For instance, if the point of origin of Flatland is (0,0) for the x and z axes (excluding y) the value is in terms of position not ontology, if Flatland exists at all. The 0 there is expressed in terms of the center location and direction not nothingness. Where there is always a designated zero for point "y", everywhere one goes in Flatland, the zero is really in terms of curiosity of position, for a ubiquitous lack of elevation, not existence. There is no position of elevation to any account in Flatland, but there is still an edge to the littlest fractional amount all around and in all the figures.


In a two dimensional cross-section, the third dimension is hovering above and below, even if it exists in Flatland only by constant evasion --- by the thinnest edge of its plane. "Y" does not equal nothing predicated of zero, even in Flatland, except after the style of lack of elevation in location, not total non-existence; and the third dimension manifests virtually in two, even where it may seem to be missing. Therefore, the image of the third, if not its more direct experience, is already there in Flatland, even as flat as it could be.


If a poor square took a good look around and saw the border of a circle one day, he could begin to realize that things were not as flat as he thought. A circle is not flat in the edge of the curve going all the way around; and every figure has a face, and every face has two sides. Records have side A and side B, and with any grooves that is getting a little three dimensional already.

The vertex of every angle other than 180" is bent and bent is not so "flat". The reason a proper circle should be flat is that it has three hundred and sixty degrees rotated equally in its plane, from four ninety degree angles within the center. There could be bumps or crinkles in rotation around a circle in one plane, if any of the degrees are lost, or too many are added. If the same circle loses any degrees, it will begin to crinkle in the edge, which will develop a little concavity. Or if it adds too many it will begin to bulge, and either way the math goes, if it does not add up correctly to exactly 360", it will lose some of its fitness for flatness.

Increase and decrease are possible in Flatland, as much as numbers, of course, no matter how flat it is, so how can the way be sure that a circle will not one day change a few degrees, as events may determine for proof of awareness in Flatland?

If a triangle, a rhombus, or a Euclidean kite were only thinking about the complete flatness of a curve that goes all the way around, it would also need to see the form of any circle in projection from above and below, to see the totality. The thing could be different colors on different sides, and seeing things from both sides of the form, for all the color and geometry in projection, is mulling things over in 3-D. If one would see the whole circle, one would have to see all the points of its circumference, and all its degrees, in a three dimensional template from a point of sight to the circle's plane.

With enough awareness from juxtapostion of different figures, projection, and superimposition, a Flatlander one day could begin to perceive that the mind of place is 3-D, if not the place itself. For instance, in abstraction of a small blue circle superimposed in a red triangle, within a larger yellow square, a little wing of 3-D goes floating by, in the principle of separation of species by sight, in the slightest background note of the difference in figure, color, and size.

If vision and the mind's eye in Flatland would be represented by a two-dimensional digit, for the flatness of the experience, the digit of the eye would still have to be 3-D from within itself, das Ding an sich. Seeing is a three part process in the object seen, the faculty of sight, and the projection of what is seen in the mind. If the digital eye of the land in Flatland were to look around, to see the nature of the place, it would have to recognize that while things were very flat, there was in all side A and side B. There would be, therefore, an up and down, as much as the color of one side is opposite the other, when the colors are different. To understand the picture, therefore, it must be from a third dimensional property hidden in some aethereal cloud of refinement above and below.

It does not make sense to imagine that there would be visibility and light in Flatland, if there was not a third dimension, since light is three dimensional. There is not any light that is not three dimensional any less than a drop of water. Even the smallest digital points of light are in shells that extend in three dimensions. If Flatland was totally dark and lacked all visibility, maybe then a square limited there could not figure out that there was a third dimension, and would remain forever in two-dimensional obscurity. But that really is another case to say that nobody can see anything in Flatland, and that it is totally dark.

There may be no better way to represent a two-dimensional operation of vision, in the eye of the land in Flatland, as it would be, than by the smallest digitzed point of light; and there may be no better way to represent the smallest point of light than by a tiny, tiny sphere. So the irony of the third dimension would only be a slight reckoning away, in the hint of the apple of the eye, one day to be discovered by Flatlanders, who are not absolutely blind and take a good look around to see a luminescent ray.

Once a square discovers the principle of reflections and rotation, he could deduce that there was in the scheme of things a third dimension, that he could call up and down, even if it was not so well developed in Flatland, as in other places. If he worked for a flat-ways construction company called Gemini Construction, for example, that was operated by twin circles, and they were commissioned to build three roads between point Z and point M, it would become apparent again that there are two sides to everything. And where there is reflection and rotation, there is also inside and out, and outside and in, which would not be possible without some aspect of a portal, or portability, even from a third dimension --- even if it were so flat, as flat as it could be.


If when they were facing forward the twin circles were blue on the right and red on the left, it becomes the reverse when anyone else faces them, or when they face each other. If they were both half blue, half red, and they were "right-handed" to the blue side, when they were facing each other, the blue effect would be "inside to the right", and the red "outside to the left", or vice versa for like this or like that. In the cross-over effects of red and blue, and inside and out, from spinning around in circles at work, like so, there arises some restricted inkling of a third dimension in the construction process ... since it all reverses again, if the eye of the land looks at it with projection from side A or side B.


If Gemini Construction made money by quantity, not only quality, and the first two roads that they built from Z to M were constructed with the arc of a uniform curve in two semi-circles, they would make more money from the two semi-circle roads than from building a shorter straight road ZM. The shortest distance between two points is a straight line, certainly, and less money to charge the government. If they wanted to make as much money from the straight-line road ZM in the middle, as from the two curved roads on the outside, they would have to pack the same quantity of road overall into it, which would in some way create some elevation --- either in a similar uniform curve up into the vertical, or in smaller scattered bumps. How could they conceal and condense such a trick and make extra money, if they would be so devious with a straight line, even in Flatland?

These things must be in common, and an Oversight Commitee would surely have to notice that the third road in the middle was not as level as the first two on the outside. Such a scheme to make extra money, when it would be discovered, could cause a scandal in Flatland, if this was how their community began to understand that there was a third dimension in math and the budget, if not more directly in their poor country. If Gemini Construction alone recognized the opportunity for bigger dollars in the vertical, but decided to keep things more on the level, because of ethics and fear they could get caught on the fiddle --- at least they would already know there is a potential third dimension, everywhere in the corners and reflections, if for an extra dollar, when things are restricted in two's, duo duo.


Besides roads, the experience of locomotion and conveyance in Flatland would lead Flatlanders to intuit the third dimension, since no motions, or ingress and egress, would be possible without superficial separation. A doctor of science can understand it is one thing to be flat and another to be stuck.


Also, the accumulation of reflections and rotations, and the awareness of sideways that comes from two sides to everything, would add to the positive deduction that there are three dimenions in math, even if the country is deprived. The postulates, theorems, and calcualtions of algebra and geometry will prove it, and any sideways rotations to any established angles, or any such conveniences or conveyances, not just in opposite directions, or continuing the other way, creates 3-D. If there was not a third dimension, or the least bump of an odd rotation, even if so totally limited as possible, to be called the flatest, everything would get stuck and be completely dark in Flatland.

Two-dimensional things being what they are, with as much fiddling around as there could be in construction and contracts in a country like Flatland, at least a few poor squares, as well as some circles, could spy out one day that there are three logical dimensions in math and all the numbers, even if they may be restricted sometimes and some places to flat two's. They could also recognize that there are only three dimensions in total space for the same reasons that there are only five Platonic solids, and that three dimensions are enough for everything ... ad infinitum. 

Therefore, there must not be a fourth dimension in space, or anywhere for time, since there simply is no parallel way to depict four dimensions in three, the way there is to depict three in one and all over two.