Quotes about Pythagoras

50 Sourced Quotes

As soon as we adventure on the paths of the physicist, we learn to weigh and to measure, to deal with time and space and mass and their related concepts, and to find more and more our knowledge expressed and our needs satisfied through the concept of number, as in the dreams and visions of Plato and Pythagoras...

D'Arcy Wentworth Thompson

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

'He himself said', and this 'himself' was Pythagoras.

To hold opinion with Pythagoras,
That souls of animals infuse themselves
Into the trunks of men.

William Shakespeare

It seems probable that the early Greeks were largely indebted to the Phoenicians for their knowledge of practical arithmetic or the art of calculation, and perhaps also learnt from them a few properties of numbers. It may be worthy of note that Pythagoras was a Phoenician; and according to Herodotus, but this is more doubtful, Thales was also of that race.

W. W. Rouse Ball

The sum of religion, says Pythagoras, is to be like him thou worshipest. Had Pythagoras lived in our day he would have seen his mistake. The sum of modern religion is to make him thou worshipest like unto thyself.

Pythagoras took the next important step by subordinating the mere matter of nature to its essential principle of form and order, identifying the latter with reason or the soul.

James Mark Baldwin

Insomuch as we see in the schools both of Democritus and of Pythagoras, that the one did ascribe figure to the first seeds of things, and the other did suppose numbers to be the principles and originals of things.

Pythagoras asks that we not let a friend go lightly, for whatever reason. Instead, we should stay with a friend as long as we can, until we're compelled to abandon him completely against our will. It's a serious thing to toss away money, but to cast aside a person is even more serious. Nothing in human life is more rarely found, nothing more dearly possessed. No loss is more chilling or more dangerous than that of a friend.

Some old poet's grand imagination is imposed on us as adamantine everlasting truth, and God's own word! Pythagoras says, truly enough, "A true assertion respecting God, is an assertion of God"; but we may well doubt if there is any example of this in literature.

Henry David Thoreau

I think it is important that people be made aware that the vegetarian movement has a venerable history behind it. It didn't spring full-blown from the head of a flower child in the 1960's. It really begins with Pythagoras in the West in the 6th century BC and has reasserted itself periodically ever since.

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

The daughter-in-law of Pythagoras said that a woman who goes to bed with a man ought to lay aside her modesty with her skirt, and put it on again with her petticoat

Michel de Montaigne

And then there is Pythagoras. The legend is that the founder of theoretical mathematics was so outraged when one of his students, the haplessly gifted Hippasus, discovered irrational numbers that he sent the poor fellow out on a raft to drown, initiating a venerable tradition of professors mistreating their graduate students.

Rebecca Goldstein

It was modesty that invented the word "philosopher" in Greece and left the magnificent overweening presumption in calling oneselfwise to the actors of the spirit--the modesty of such monsters of pride and sovereignty as Pythagoras, as Plato.

Friedrich Nietzsche

Pythagoras, Locke, Socrates - but pages might be filled up, as vainly as before, with the sad usage of all sorts of sages, who in his life-time, each was deemed a bore! The loftiest minds outrun their tardy ages.

Pythagoras at the same Time uses the Terms of Music, by calling the Space between the Earth and the Moon a Tone; saying, that from her to Mercury is Half a Tone: and from him to Venus about the same Space. But from her to the Sun so much and a Half more: but from the Sun to Mars a Tone, that is to say, as much as from the Earth to the Moon.

Pliny the Elder

If "Number rules the universe" as Pythagoras asserted, Number is merely our delegate to the throne, for we rule Number.

Eric Temple Bell

Philosophers and psychiatrists should explain why it is that we mathematicians are in the habit of systematically erasing our footsteps. Scientists have always looked askance at this strange habit of mathematicians, which has changed little from Pythagoras to our day.

Gian-Carlo Rota

A foolish consistency is the hobgoblin of little minds, adored by little statesmen and philosophers and divines. With consistency a great soul has simply nothing to do. He may as well concern himself with his shadow on the wall. Speak what you think now in hard words, and tomorrow speak what tomorrow thinks in hard words again, though it contradict every thing you said today. — 'Ah, so you shall be sure to be misunderstood.' — Is it so bad, then, to be misunderstood? Pythagoras was misunderstood, and Socrates, and Jesus, and Luther, and Copernicus, and Galileo, and Newton, and every pure and wise spirit that ever took flesh. To be great is to be misunderstood.

Ralph Waldo Emerson

Pythagoras says that number is the origin of all things, and certainly the law of number is the key that unlocks the secrets of the universe. But the law of number possesses an immanent order, which is at first sight mystifying, but on a more intimate acquaintance we easily understand it to be intrinsically necessary; and this law of number explains the wondrous consistency of the laws of nature.

Comparatively few of the propositions and proofs in the Elements are his [Euclid's] own discoveries. In fact, the proof of the "Theorem of Pythagoras" is the only one directly ascribed to him.

But why had science lost its way in the first place? What appeal could these teachings of Pythagoras and Plato have had for their contemporaries? They provided, I believe, an intellectually respectable justification for a corrupt social order. The mercantile tradition that had led to Ionian science also led to a slave economy. You could get richer if you owned a lot of slaves. Athens in the time of Plato and Aristotle had a vast slave population. All that brave Athenian talk about democracy applied only to a privileged few.

The Pythagoreans were not the first to think of suggesting a pattern of numbers as key to the distances between the heavenly bodies (Anaximander had already made that breakthrough, a little ahead of Pythagoras). But in the Pythagorean speculations we can see that the notion of harmony, and the power of simple ratios in the tetraktys, has encouraged them to suggest that perfect patterns are what we would expect.

Catherine Rowett

No one will deny that the soul of Pythagoras was sent to mankind from Apollo's domain, having either been one of his attendants, or more intimate associates, which may be inferred both from his birth, and his versatile wisdom.

As great Pythagoras of yore,
Standing beside the blacksmith's door,
And hearing the hammers, as they smote
The anvils with a different note,
Stole from the varying tones, that hung
Vibrant on every iron tongue,
The secret of the sounding wire.
And formed the seven-chorded lyre.

Henry Wadsworth Longfellow

Pythagoras, when he was asked what time was, answered that it was the soul of this world.

This morning the music of a brass band which had stopped under my windows moved me almost to tears. It exercised an indefinable, nostalgic power over me; it set me dreaming of another world, of infinite passion and supreme happiness. Such impressions are the echoes of Paradise in the soul; memories of ideal spheres whose sad sweetness ravishes and intoxicates the heart. O Plato! O Pythagoras! ages ago you heard these harmonies, surprised these moments of inward ecstasy, — knew these divine transports! If music thus carries us to heaven, it is because music is harmony, harmony is perfection, perfection is our dream, and our dream is heaven.

Henri-Frédéric Amiel

Pythagoras used to say that he had received as a gift from Mercury the perpetual transmigration of his soul, so that it was constantly transmigrating and passing into all sorts of plants or animals.

Diogenes Laërtius

From Pythagoras to Boethius, when pure mathematics consisted of arithmetic and geometry while applied mathematics consisted of music and astronomy, mathematics could be characterized as the deductive study of 'such abstractions as quantities and their consequences, namely figures and so forth' (Acquinas ca. 1260). But since the emergence of abstract algebra it has become increasingly difficult to formulate a definition to cover the whole of the rich, complex and expanding domain of mathematics.

George Frederick James Temple