The purpose of life is to conjecture and prove. — Paul Erdos
A mathematician is a device for turning coffee into theorems. — Paul Erdos
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
Some things can be inherently boring—namely, all of these theorems which we cannot possibly prove as true or false. — Naval Ravikant
A proof is a proof. What kind of a proof? It's a proof. A proof is a proof. And when you have a good proof, it's because it's proven. — Jean Chretien
The axiomatic method is very powerful — Kurt Gödel
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
We define only out of despair, we must have a formula... to give a facade tot he void. — Emile M. Cioran
Murphy's Law, that brash proletarian restatement of Godel's Theorem. — Thomas Pynchon
Beauty is the first test: there is no permanent place in the world for ugly mathematics. — Godfrey Harold Hardy
Beauty is the first test: there is no permanent place in the world for ugly mathematics. — G. H. Hardy
Euclid taught me that without assumptions there is no proof. Therefore, in any argument, examine the assumptions. — Eric Temple Bell
If only I had the Theorems! Then I should find the proofs easily enough. — Bernhard Riemann
Short Theorem Quotes
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
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
The principle is so perfectly general that no particular application of it is possible. — George Polya
Heaven is angered by my arrogance; my proof [of the four-color theorem] is also defective. — Hermann Minkowski
Theorem Image Quotes
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 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
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
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
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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