Top 131 Pythagorean Theorem Quotes & Sayings

Explore popular Pythagorean Theorem quotes.
Last updated on November 4, 2024.
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.
Someone like myself, who claimed to be a real madman, living and organized with a Pythagorean precision.
The elegance of a mathematical theorem is directly proportional to the number of independent ideas one can see in the theorem and inversely proportional to the effort it takes to see them.
When I give this talk to a physics audience, I remove the quotes from my 'Theorem'. — © Brian Greene
When I give this talk to a physics audience, I remove the quotes from my 'Theorem'.
A human being without the proper empathy or feeling is the same as an android built so as to lack it, either by design or mistake. We mean, basically, someone who does not care about the fate which his fellow living creatures fall victim to; he stands detached, a spectator, acting out by his indifference John Donne's theorem that "No man is an island," but giving that theorem a twist: that which is a mental and a moral island is not a man.
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.
It is not so much whether a theorem is useful that matters, but how elegant it is.
The three discrete invariances - reflection invariance, charge conjugation invariance, and time reversal invariance - are connected by an important theorem called the CPT theorem.
Bell's theorem...proves that quantum theory requires connections that appear to resemble telepathic communication.
What philosophy worthy of the name has truly been able to avoid the link between poem and theorem?
Heaven is angered by my arrogance; my proof [of the four-color theorem] is also defective.
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."
I realized that anything to do with Fermat's Last Theorem generates too much interest.
The world is anxious to admire that apex and culmination of modern mathematics: a theorem so perfectly general that no particular application of it is feasible. — © George Polya
The world is anxious to admire that apex and culmination of modern mathematics: a theorem so perfectly general that no particular application of it is feasible.
Thus, be it understood, to demonstrate a theorem, it is neither necessary nor even advantageous to know what it means.
Pythagorean thought was dominated by mathematics, but it was also profoundly mystical.
It gives me the same pleasure when someone else proves a good theorem as when I do it myself.
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.
The Mean Value Theorem is the midwife of calculus - not very important or glamorous by itself, but often helping to deliver other theorems that are of major significance.
We re-make nature by the act of discovery, in the poem or in the theorem. And the great poem and the deep theorem are new to every reader, and yet are his own experiences, because he himself re-creates them. They are the marks of unity in variety; and in the instant when the mind seizes this for itself, in art or in science, the heart misses a beat.
Any good theorem should have several proofs, the more the better.
The paraphrase of Gödel's Theorem says that for any record player, there are records which it cannot play because they will cause its indirect self-destruction.
I think that if your tenure case depends on your proving what you thought was a mathematical theorem and the proposed theorem turns out to be false just before your tenure decision, and you want to get tenure very badly, there is a sense in which it's perfectly understandable and reasonable of you to wish the proposed theorem were true and provable, even if it's logically impossible for it to be.
I think critics tend to think that comedy is freakin' math. Like, this is the Pythagorean Theorem. They're not sophisticated enough to know that comedy is fluid, that it evolves, and these organic evolutions are what you have to embrace.
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?
Our offense is like the pythagorean theorem: There is no answer!
Indeed, it is a proven mathematical theorem that a doughnut is topologically distinct from a sphere.
There's only one problem that bothers me. And that's something my theorem [ of Impossibility] really doesn't cover. In my theorem I was assuming people vote sincerely. The trouble with methods where you have three or four classes, I think if people vote sincerely they may well be very satisfactory. The problem is the incentive to misrepresent your vote may be high.
In the "commentatio" (note presented to the Russian Academy) in which his theorem on polyhedra (on the number of faces, edges and vertices) was first published Euler gives no proof. In place of a proof, he offers an inductive argument: he verifies the relation in a variety of special cases. There is little doubt that he also discovered the theorem, as many of his other results, inductively.
But my shift to the serious study of economics gradually weakened my belief in Major Douglas's A+B theorem, which was replaced in my thought by the expression MV = PT.
Too much knowledge could be a bad thing. I was lead to the Szemerédi theorem by proving a result, about squares, that Euler had already proven, and I relied on an "obvious" fact, about arithmetical progressions, that was unproved at the time. But that lead me to try and prove that formerly unproved statement- about arithmetical progressions-and that ultimately lead to the Szemerédi Theorem.
How can you shorten the subject? That stern struggle with the multiplication table, for many people not yet ended in victory, how can you make it less? Square root, as obdurate as a hardwood stump in a pasturenothing but years of effort can extract it. You can't hurry the process. Or pass from arithmetic to algebra; you can't shoulder your way past quadratic equations or ripple through the binomial theorem. Instead, the other way; your feet are impeded in the tangled growth, your pace slackens, you sink and fall somewhere near the binomial theorem with the calculus in sight on the horizon.
A theorem is a proposition which is a strict logical consequence of certain definitions and other propositions.
I'm no enthusiast for the Coase Theorem. I don't like it, but it's widely used.
One cannot really argue with a mathematical theorem.
The great poem and the deep theorem are new to every reader, and yet are his own experiences, because he himself recreates them.
Share prices follow the theorem: hope divided by fear minus greed.
The axiom of conditioned repetition, like the binomial theorem, is nothing but a piece of insolence.
To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well. — © Albert Camus
To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.
We are on the verge: Today our program proved Fermat's next-to-last theorem.
Nobody before the Pythagorean had thought that mathematical relations held the secret of the universe. Twenty-five centuries later, Europe is still blessed and cursed with their heritage. To non-European civilizations, the idea that numbers are the key to both wisdom and power, seems never to have occurred.
Mathematics is not a deductive science - that's a cliché. When you try to prove a theorem, you don't just list the hypotheses, and then start to reason. What you do is trial and error, experimentation, guesswork.
In many cases a dull proof can be supplemented by a geometric analogue so simple and beautiful that the truth of a theorem is almost seen at a glance.
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.
When somebody discovers something like the quadratic formula or the Pythagorean theorem, the convention in science is that he can't control that idea. He has to give it away. He publishes it. What's rewarded in science is dissemination of ideas.
If you have to prove a theorem, do not rush. First of all, understand fully what the theorem says, try to see clearly what it means. Then check the theorem; it could be false. Examine the consequences, verify as many particular instances as are needed to convince yourself of the truth. When you have satisfied yourself that the theorem is true, you can start proving it.
There's no answer for my offense, just like the polythagorean theorem.
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.
And I believe that the Binomial Theorem and a Bach Fugue are, in the long run, more important than all the battles of history. — © James Hilton
And I believe that the Binomial Theorem and a Bach Fugue are, in the long run, more important than all the battles of history.
We decided that 'trivial' means 'proved'. So we joked with the mathematicians: We have a new theorem- that mathematicians can prove only trivial theorems, because every theorem that's proved is trivial.
I tend to regard the Coase theorem as a stepping stone on the way to an analysis of an economy with positive transaction costs.
The analysis of variance is not a mathematical theorem, but rather a convenient method of arranging the arithmetic.
Murphy's Law, that brash proletarian restatement of Godel's Theorem.
You wouldn't think there was a need for a Coase Theorem, really.
[On the Gaussian curve, remarked to Poincaré:] Experimentalists think that it is a mathematical theorem while the mathematicians believe it to be an experimental fact.
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!
Bells theorem dealt a shattering blow to Einsteins position by showing that the conception of reality as consisting of separate parts, joined by local connections, is incompatible with quantum theory... Bells theorem demonstrates that the universe is fundamentally interconnected, interdependent, and inseparable.
A felicitous but unproved conjecture may be of much more consequence for mathematics than the proof of many a respectable theorem.
And Numenius, the Pythagorean philosopher, expressly writes: 'For what is Plato, but Moses speaking in Attic Greek.'
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.
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