# 75 Theorem Quotes To Inspire You

Following is our list of theorem quotations and slogans full of insightful wisdom and perspective about .

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## The Most Famous Theorem Quotes (Best in 2024)

If only I had the Theorems! Then I should find the proofs easily enough. —

Bernhard Riemann

Some things can be inherently boring—namely, all of these theorems which we cannot possibly prove as true or false. —

Naval Ravikant

No matter how correct a mathematical theorem may appear to be, one ought never to be satisfied that there was not something imperfect about it until it also gives the impression of being beautiful. —

George Boole

Very often in mathematics the crucial problem is to recognize and discover what are the relevant concepts; once this is accomplished the job may be more than half done. —

Israel Nathan Herstein

The problem of distinguishing prime numbers from composite numbers and of resolving the latter into their prime factors is known to be one of the most important and useful in arithmetic. —

Carl Friedrich Gauss

One of the endlessly alluring aspects of mathematics is that its thorniest paradoxes have a way of blooming into beautiful theories. —

Philip J. Davis

Thus not only the mental and the material, but the theoretical and the practical in the mathematical world, are brought into more intimate and effective connection with each other. —

Ada Lovelace

For the things of this world cannot be made known without a knowledge of mathematics. —

Roger Bacon

As for methods I have sought to give them all the rigour that one requires in geometry, so as never to have recourse to the reasons drawn from the generality of algebra. —

Augustin-Louis Cauchy

At first it seems obvious, but the more you think about it the stranger the deductions from this axiom seem to become; in the end you cease to understand what is meant by it. —

Bertrand Russell

## Short Theorem Quotes

- A mathematician is a device for turning coffee into theorems. —
**Paul Erdos** - Happily, none of those theorems that we cannot prove at the moment are inherently interesting. —
**Naval Ravikant** - Unprovable theorems vastly outnumber the provable ones. —
**Naval Ravikant** - Murphy's Law, that brash proletarian restatement of Godel's Theorem. —
**Thomas Pynchon** - God has the Big Book, the beautiful proofs of mathematical theorems are listed here. —
**Paul Erdos** - Do not say a little in many words but a great deal in a few. —
**Pythagoras** - One geometry cannot be more true than another; it can only be more convenient. —
**Henri Poincare** - Share prices follow the theorem: hope divided by fear minus greed. —
**Dominic Lawson** - One cannot really argue with a mathematical theorem. —
**Stephen Hawking** - Any good theorem should have several proofs, the more the better. —
**Michael Atiyah**

## Mathematical Theorem Quotes

I believe that mathematical reality lies outside us, that our function is to discover or observe it, and that the theorems which we prove, and which we describe grandiloquently as our "creations," are simply the notes of our observations. —

G. H. Hardy

The development of mathematics towards greater precision has led, as is well known, to the formalization of large tracts of it, so that one can prove any theorem using nothing but a few mechanical rules. —

Kurt Gödel

The product of mathematics is clarity and understanding. Not theorems, by themselves. ... In short, mathematics only exists in a living community of mathematicians that spreads understanding and breathes life into ideas both old and new. —

William Thurston

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. —

Paul Halmos

Theorems are fun especially when you are the prover, but then the pleasure fades. What keeps us going are the unsolved problems. —

Carl Pomerance

Mathematics is not a deductive science - that's a cliché... What you do is trial and error, experimentation, guesswork. —

Paul Halmos

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

Ronald Fisher

Mathematics does not grow through a monotonous increase of the number of indubitably established theorems but through the incessant improvement of guesses by speculation and criticism, by the logic of proofs and refutations. —

Imre Lakatos

Theorems often tell us complex truths about the simple things, but only rarely tell us simple truths about the complex ones. To believe otherwise is wishful thinking or "mathematics envy." —

Marvin Minsky

The principle is so perfectly general that no particular application of it is possible. —

George Polya

## People Writing About Theorem

### More Theorem Quotes

One of the points that he makes is that Gödel’s incompleteness theorem doesn’t say that mathematics is junk; the theorem isn’t a cause for despair. Gödel’s incompleteness theorem says that no formal system—including mathematics—can be both complete and correct. Either there are statements that are true that cannot be proven true in the system, or there will be a contradiction somewhere inside the system. —

Naval Ravikant

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. —

Martin Gardner

There are three signs of senility. The first sign is that a man forgets his theorems. The second sign is that he forgets to zip up. The third sign is that he forgets to zip down. —

Paul Erdos

In a world in which the price of calculation continues to decrease rapidly, but the price of theorem proving continues to hold steady or increase, elementary economics indicates that we ought to spend a larger and larger fraction of our time on calculation. —

John Tukey

I am persuaded that this method [for calculating the volume of a sphere] will be of no little service to mathematics. For I foresee that once it is understood and established, it will be used to discover other theorems which have not yet occurred to me, by other mathematicians, now living or yet unborn. —

Archimedes

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

I compare arithmetic with a tree that unfolds upwards in a multitude of techniques and theorems while the root drives into the depths. —

Gottlob Frege

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. —

Fritjof Capra

There are very few theorems in advanced analysis which have been demonstrated in a logically tenable manner. Everywhere one finds this miserable way of concluding from the special to the general and it is extremely peculiar that such a procedure has led to so few of the so-called paradoxes. —

Niels Henrik Abel

I think it is said that Gauss had ten different proofs for the law of quadratic reciprocity. Any good theorem should have several proofs, the more the better. For two reasons: usually, different proofs have different strengths and weaknesses, and they generalise in different directions - they are not just repetitions of each other. —

Michael Atiyah

I took a break from acting for four years to get a degree in mathematics at UCLA, and during that time I had the rare opportunity to actually do research as an undergraduate. And myself and two other people co-authored a new theorem: Percolation and Gibbs States Multiplicity for Ferromagnetic Ashkin-Teller Models on Two Dimensions, or Z2. —

Danica McKellar

What exactly is mathematics? Many have tried but nobody has really succeeded in defining mathematics; it is always something else. Roughly speaking, people know that it deals with numbers, figures, with relations, operations, and that its formal procedures involving axioms, proofs, lemmas, theorems have not changed since the time of Archimedes. —

Stanislaw Ulam

Mathematics is not arithmetic. Though mathematics may have arisen from the practices of counting and measuring it really deals with logical reasoning in which theorems-general and specific statements-can be deduced from the starting assumptions. It is, perhaps, the purest and most rigorous of intellectual activities, and is often thought of as queen of the sciences. —

Christopher Zeeman

The missing piece in his stomach hurt so much-and eventually he stopped thinking about the Theorem and wondered only how something that isn't there can hurt you. —

John Green

Never call yourself a philosopher, nor talk a great deal among the unlearned about theorems, but act conformably to them. Thus, at an entertainment, don't talk how persons ought to eat, but eat as you ought. For remember that in this manner Socrates also universally avoided all ostentation. —

Epictetus

A mathematician is a person who can find analogies between theorems; a better mathematician is one who can see analogies between proofs and the best mathematician can notice analogies between theories. —

Stefan Banach

Less depends upon the choice of words than upon this, that their introduction shall be justified by pregnant theorems. —

Carl Friedrich Gauss

Humanism . . . is not a single hypothesis or theorem, and it dwells on no new facts. It is rather a slow shifting in the philosophic perspective, making things appear as from a new centre of interest or point of sight. —

William James

One way of looking at Impossibility Theorem is that we proposed some criteria for what a good system should be: what is it you want from a voting system, and impose some conditions. And then ask: can you have a voting system that guarantees that? —

Kenneth Arrow

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. —

Edward Mills Purcell

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

The theory of numbers, more than any other branch of mathematics, began by being an experimental science. Its most famous theorems have all been conjectured, sometimes a hundred years or more before they were proved; and they have been suggested by the evidence of a mass of computations. —

G. H. Hardy

### In Conclusion

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#### About the author

This collection is managed by Quotlr Team, with an extensive background in quote curation. They have meticulously gathered, researched, and compiled the quotes featured on this page. Every quote has been diligently cross-verified for its origin, its authenticity, and its potential influence on our readership.

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