Pythagorean Quotes

This excerpt is presented as reproduced by Copernicus in the preface to De Revolutionibus: "Some think that the earth remains at rest. But Philolaus the Pythagorean believes that, like the sun and moon, it revolves around the fire in an oblique circle. Heraclides of Pontus and Ecphantus the Pythagorean make the earth move, not in a progressive motion, but like a wheel in rotation from west to east around its own center." ~ Plutarch

On the question of whether mathematics was discovered or invented, Pythagoras and the Pythagoreans had no doubt-mathematics was real, immutable, omnipresent, and more sublime than anything that could conceivably emerge from the feeble human mind. The Pythagoreans literally embedded the universe into mathematics. In fact, to the Pythagoreans, God was not a mathematician-mathematics was God!

The importance of the Pythagorean philosophy lies not only in its actual, intrinsic value. By setting the stage, and to some extent the agenda, for the next generation of philosophers-Plato in particular-the Pythagoreans established a commanding position in Western thought. ~ Mario Livio

Pythagorean thought was dominated by mathematics, but it was also profoundly mystical. ~ Vanna Bonta

With equal passion I have sought knowledge. I have wished to understand the hearts of men. I have wished to know why the stars shine. And I have tried to apprehend the Pythagorean power by which number holds sway about the flux. A little of this, but not much, I have achieved. ~ Bertrand Russell

Our offense is like the pythagorean theorem: There is no answer! ~ Shaquille O'Neal

And Numenius, the Pythagorean philosopher, expressly writes: 'For what is Plato, but Moses speaking in Attic Greek.' ~ Clement Of Alexandria

We live in a society where we're not taught how to deal with our weaknesses and frailties as human beings. We're not taught how to speak to our difficulties and challenges. We're taught the Pythagorean theorem and chemistry and biology and history. We're not taught anger management. We're not taught dissolution of fear and how to process shame and guilt. I've never in my life ever used the Pythagorean theorem! ~ Iyanla Vanzant

It seems to us unwise to have insisted on teaching geometry to the younger Dionysius, tyrant of Syracuse, in order to make him a good king, but from Plato's point of view it was essential. He was sufficiently Pythagorean to think that without mathematics no true wisdom is possible. ~ Bertrand Russell

There is no answer to the Pythagorean theorem. Well, there is an answer, but by the time you figure it out, I got 40 points, 10 rebounds and then we're planning for the parade. ~ Shaquille O'Neal

Surely in much talk there cannot choose but be much vanity. Loquacity is the fistula of the mind,
ever-running and almost incurable, let every man, therefore, be a Phocion or Pythagorean, to speak briefly to the point or not at all; let him labor like them of Crete, to show more wit in his discourse than words, and not to pour out of his mouth a flood of the one, when he can hardly wring out of his brains a drop of the other. ~ Herbert Spencer

I was a capable boy, intelligent, well-liked, but powerfully afraid. And I felt, vaguely, wordlessly, that for a child to be marked off for such a life, to be forced to live in fear was a great injustice. And what was the source of this fear? What was hiding behind the smoke screen of streets and schools? And what did it mean that number 2 pencils, conjugations without context, Pythagorean theorems, handshakes, and head nods were the difference between life and death, were the curtains drawing down between the world and me? ~ Ta-Nehisi Coates

Simon Greenleaf's Masonic work documents the relationship between defining the Patriarch Enoch as a Pythagorean figure while linking the Druidical priestly presence through Phoenician exploration from Egyptian source. Thus Enoch brought the content of Masonic knowledge to a greater mystical perfection as he was deemed to have caused the emergence of the restoration of learning from the vault into solar Apollonian radiance through the application of Pythagorean learning to the inspiration of the new Republic through mathematics and the laws derived from it. The result was for Greenleaf a pre- critical logic of unfolding of the Logos envisaged by Salem Town along lines delineated in the L'Enfant-Latrobe District of Columbia template from the national capital into districts of Masonic Grand Lodge administration was devolved into districts, paralleling judicial and congressional districts, symbolically as an extension of the Latrobe-L'Enfant template just after the moral and political defeat of Jedidiah Morse and the Federalists in 1800 and theological attacks on Masonry and before the onset of the Morgan fervor in 1826. This period enables the historian to see a sequence of Masonic and mythic legal unfolding from legendary history which linked the emergence of Enochic design to civil religion through monumental architecture which also links the dynamism of a Third Age of Masonic "Aquarian" millennialism rooted in third age eschatology within its Tudor derivative of an articulat ~ Robert W. Sullivan IV

The analysis of variance is not a mathematical theorem, but rather a convenient method of arranging the arithmetic. ~ Ronald Fisher

It is impossible to decide whether a particular detail of the Pythagorean universe was the work of the master, or filled in by a pupil a remark which equally applies to Leonardo or Michelangelo . But there can be no doubt that the basic features were conceived by a single mind; that Pythagoras of Samos was both the founder of a new religious philosophy, and the founder of Science, as the word is understood today. ~ Arthur Koestler

For as in this world, head winds are far more prevalent than winds from astern (that is, if you never violate the Pythagorean maxim), so for the most part the Commodore on the quarter-deck gets his atmosphere at second hand from the sailors on the forecastle. He thinks he breathes it first; but not so. In much the same way do the commonalty lead their leaders in many other things, at the same time that the leaders little suspect it. ~ Herman Melville

That is why one day I said my game will be like the Pythagorean Theorem - hard to figure out. A lot of people really don't know the Pythagorean Theory. They don't make them like me anymore. They don't want to make them like that anymore. ~ Shaquille O'Neal

We therefore find that the triangles and rectangles herein described, enclose a large majority of the temples and cathedrals of the Greek and Gothic masters, for we have seen that the rectangle of the Egyptian triangle is a perfect generative medium, its ratio of five in width to eight in length 'encouraging impressions of contrast between horizontal and vertical lines' or spaces; and the same practically may be said of the Pythagorean triangle ~ Samuel Colman

I am the number one Ninja and I have killed all the Shoguns in front of me. ~ Shaquille O'Neal

In the Pythagorean system, thinking about numbers, or doing mathematics, was an inherently masculine task. Mathematics was associated with the gods, and with transcendence from the material world; women, by their nature, were supposedly rooted in this latter, baser realm. ~ Margaret Wertheim

There is nothing that has caused me to meditate more on Plato's secrecy and sphinx-like nature, than the happily preserved petit fait that under the pillow of his death-bed there was found no 'Bible,' nor anything Egyptian, Pythagorean, or Platonic - but a book of Aristophanes. How could even Plato have endured life - a Greek life which he repudiated - without an Aristophanes! ~ Friedrich Nietzsche

Diatonic, he heard the word in his head. Chromatic, pentatonic, hexatonic, heptatonic, octatonic, each iteration of the scale opening innumerable possibilities for harmony. He thought about the Pythagorean major third, the Didymus comma, the way the intervals sound out of tune rather than as though they were different notes. This, he thought, was where his brilliance at mathematics bled into his love of music; music was the realm in which his mathematical brain danced. ~ Ru Freeman

That great portion of what is generally received as Christian truth is, in its rudiments or in its separate parts, to be found in heathen philosophies and religions. For instance, the doctrine of a Trinity is found both in the East and in the West; so is the ceremony of washing; so is the rite of sacrifice. The doctrine of the Divine Word is Platonic; the doctrine of the Incarnation is Indian; of a divine kingdom is Judaic; of Angels and demons is Magian; the connection of sin with the body is Gnostic; celibacy is known to Bonze and Talapoin; a sacerdotal order is Egyptian; the idea of a new birth is Chinese and Eleusinian; belief in sacramental virtue is Pythagorean; and honours to the dead are a polytheism. Such is the general nature of the fact before us; Mr. Milman argues from it, - 'These things are in heathenism, therefore they are not Christian:' we, on the contrary, prefer to say, 'these things are in Christianity, therefore they are not heathen.' That is, we prefer to say, and we think that Scripture bears us out in saying, that from the beginning the Moral Governor of the world has scattered the seeds of truth far and wide over its extent; that these have variously taken root, and grown up as in the wilderness, wild plants indeed but living; and hence that, as the inferior animals have tokens of an immaterial principle in them, yet have not souls, so the philosophies and religions of men have their life in certain true ideas, though they are not directly divine. Wha ~ John Henry Newman

You'll see certain Pythagorean whose belief in communism of property goes to such lengths that they pick up anything lying about unguarded, and make off with it without a qualm of conscience as if it had come to them by law. ~ Desiderius Erasmus

His sense of humor was permanently replaced by the Pythagorean Theorem. ~ Dima Zales

Do people believe in human rights because such rights actually exist, like mathematical truths, sitting on a cosmic shelf next to the Pythagorean theorem just waiting to be discovered by Platonic reasoners? Or do people feel revulsion and sympathy when they read accounts of torture, and then invent a story about universal rights to help justify their feelings? ~ Jonathan Haidt

Scramble Books were written prior to the personal computer. For the most part they were used to supplement text books as a teaching and testing tool. I wrote a scramble book to help students understand the "Pythagorean theorem or Law of Pythagoras." What made these books different from text books was that the answers to questions would lead you to different pages, which in turn would confirm that either your answer was right or it would direct you to another page explaining how to arrive at the correct answer. ~ Hank Bracker

In any event, Socrates' proof of prenatal immortality is that one of Meno's uneducated slave boys actually comes up with the Pythagorean theorem without ever having studied geometry! Therefore, he must be remembering it. You recall that theorem: in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Huh? We can barely remember that from tenth grade, let alone from before we were born. ~ Thomas Cathcart

Geometry has two great treasures; one is the Theorem of Pythagoras; the other, the division of a line into extreme and mean ratio. The first we may compare to a measure of gold; the second we may name a precious jewel. ~ Johannes Kepler

Uh-oh," Moni sang, and nodded her head in Chantal's direction. "I think someone's a wee bit upset with us." She turned and walked a few steps backward.
"Careful," I said. "We're not out of range."
"Have no fear, Super Brain is here." Moni whipped out her calculator, holding it up like a shield.
"What are you going to do, daze her with denominators?"
"Maybe. But first I'm going to pummel her with my Pythagorean theorem. ~ Charity Tahmaseb

In this world, headwinds are far more prevalent than winds from astern (that is, if you never violate the Pythagorean maxim). ~ Herman Melville

Error is multiform (for evil is a form of the unlimited, as in the old Pythagorean imagery, and good of the limited), whereas success is possible in one way only (which is why it is easy to fail and difficult to succeed - easy to miss the target and difficult to hit it); so this is another reason why excess and deficiency are a mark of vice, and observance of the mean a mark of virtue: Goodness is simple, badness is manifold. ~ Aristotle.

Thus the thought, for example, which we expressed in the Pythagorean theorem is timelessly true, true independently of whether anyone takes it to be true. It needs no bearer. It is not true for the first time when it is discovered, but is like a planet which, already before anyone has seen it, has been in interaction with other planets. ~ Gottlob Frege

Mythic Background

Describing his approach to science, Einstein said something that sounds distinctly prescientific, and hearkens back to those ancient Greeks he admired:

What really interests me is whether God had any choice in the creation of the world.

Einstein's suggestion that God-or a world-making Artisan-might not have choices would have scandalized Newton or Maxwell. It fits very well, however, with the Pythagorean search for universal harmony, or with Plato's concept of a changeless Ideal.

If the Artisan had no choice: Why not? What might constrain a world-making Artisan?

One possibility arises if the Artisan is at heart an artist. Then the constraint is desire for beauty. I'd like to (and do) infer that Einstein thought along the line of our Question-Does the world embody beautiful ideas?-and put his faith in the answer "yes!"

Beauty is a vague concept. But so, to begin with, were concepts like "force" and "energy." Through dialogue with Nature, scientists learned to refine the meaning of "force" and "energy," to bring their use into line with important aspects of reality.

So too, by studying the Artisan's handiwork, we evolve refined concepts of "symmetry," and ultimately of "beauty"-concepts that reflect important aspects of reality, while remaining true to the spirit of their use in common language. ~ Frank Wilczek

Someone like myself, who claimed to be a real madman, living and organized with a Pythagorean precision ... ~ Salvador Dali

During the first century A.D., Alexandria was a veritable hotbed of mystical activity, a crucible in which Judaic, Mithraic, Zoroastrian, Pythagorean, Hermetic, and neo-Platonic doctrines suffused the air and combined with innumerable others. ~ Michael Baigent

The word "theory" ... was originally an Orphic word, which Cornford interprets as "passionate sympathetic contemplation" ... For Pythagoras, the "passionate sympathetic contemplation" was intellectual, and issued in mathematical knowledge ... To those who have reluctantly learnt a little mathematics in school this may seem strange; but to those who have experienced the intoxicating delight of sudden understanding that mathematics gives, from time to time, to those who love it, the Pythagorean view will seem completely natural. ~ Bertrand Russell

Number is the ruler of forms and ideas, and the cause of gods and demons. ~ Pythagoras