Heaven is angered by my arrogance; my proof [of the four-color theorem] is also defective. — Hermann Minkowski Copy Share Image
That's the problem with false proofs of true theorems; it's not easy to produce a counterexample. — Jeffrey Shallit Copy Share Image
The axiom of conditioned repetition, like the binomial theorem, is nothing but a piece of insolence. — Edward Abbey Copy Share Image
We are on the verge: Today our program proved Fermat's next-to-last theorem. — Alan Perlis Copy Share Image
Economists often like startling theorems, results which seem to run counter to conventional wisdom. — Joseph Stiglitz Copy Share Image
We may consequently state the fundamental theorem of Natural Selection in the form: The rate of increase in fitness of any organism… — Ronald Fisher Copy Share Image
The development of mathematics towards greater precision has led, as is well known, to the formalization of large tracts of it, so… — Kurt Gödel Copy Share Image
How many theorems in geometry which have seemed at first impracticable are in time successfully worked out! — Archimedes Copy Share Image
[On the Gaussian curve, remarked to Poincaré:] Experimentalists think that it is a mathematical theorem while the mathematicians believe it to be… — Gabriel Lippmann Copy Share Image
A felicitous but unproved conjecture may be of much more consequence for mathematics than the proof of many a respectable theorem. — Atle Selberg Copy Share Image
Mathematics is not a deductive science, that's a cliché ... What you do is trial and error, experimentation, guesswork. — Paul Halmos Copy Share Image
The Mean Value Theorem is the midwife of calculus - not very important or glamorous by itself, but often helping to deliver… — Edward Mills Purcell Copy Share Image
A proven theorem of game theory states that every game with complete information possesses a saddle point and therefore a solution. — Richard Arnold Epstein Copy Share Image
Papers should include more side remarks, open questions, and such. Very often, these are more interesting than the theorems actually proved. Alas,… — Jean-Pierre Serre Copy Share Image
Isolated, so-called "pretty theorems" have even less value in the eyes of a modern mathematician than the discovery of a new "pretty… — Hermann Hankel Copy Share Image
One way of looking at Impossibility Theorem is that we proposed some criteria for what a good system should be: what is… — Kenneth Arrow Copy Share Image
For hundreds of pages the closely-reasoned arguments unroll, axioms and theorems interlock. And what remains with us in the end? A general… — Michael Frayn Copy Share Image
Combinatorial analysis, in the trivial sense of manipulating binomial and multinomial coefficients, and formally expanding powers of infinite series by applications ad… — Richard Askey Copy Share Image
There are very few theorems in advanced analysis which have been demonstrated in a logically tenable manner. Everywhere one finds this miserable… — Niels Henrik Abel Copy Share Image
Mathematics is not arithmetic. Though mathematics may have arisen from the practices of counting and measuring it really deals with logical reasoning… — Christopher Zeeman Copy Share Image
Now, one of my beliefs, one of my theorems that I have evolved over the years is that when it comes to… — Rush Limbaugh Copy Share Image
It is a melancholy experience for a professional mathematician to find himself writing about mathematics. The function of a mathematician is to… — G. H. Hardy Copy Share Image
Mathematicians can and do fill in gaps, correct errors, and supply more detail and more careful scholarship when they are called on… — William Thurston Copy Share Image
...One of the most important lessons, perhaps, is the fact that SOFTWARE IS HARD. From now on I shall have significantly greater… — Donald Knuth Copy Share Image
“A human being without the proper empathy or feeling is the same as an android built so as to lack it, either… — Philip K. Dick Copy Share Image
Did chemistry theorems exist? No: therefore you had to go further, not be satisfied with the quia, go back to the origins,… — Primo Levi Copy Share Image
We live in a society where we're not taught how to deal with our weaknesses and frailties as human beings. We're not… — Iyanla Vanzant Copy Share Image
Can the difficulty of an exam be measured by how many bits of information a student would need to pass it? This… — Alfred Renyi Copy Share Image
I approached the bulk of my schoolwork as a chore rather than an intellectual adventure. The tedium was relieved by a few… — Steven Chu Copy Share Image
What philosophy worthy of the name has truly been able to avoid the link between poem and theorem? — Michel Serres Copy Share Image
Less depends upon the choice of words than upon this, that their introduction shall be justified by pregnant theorems. — Carl Friedrich Gauss Copy Share Image
Poetry is a theorem of a yellow-silk handkerchief knotted with riddles, sealed in a balloon tied to the tail of a kite… — Carl Sandburg Copy Share Image
There are three signs of senility. The first sign is that a man forgets his theorems. The second sign is that he… — Paul Erdos Copy Share Image
Theorems are fun especially when you are the prover, but then the pleasure fades. What keeps us going are the unsolved problems. — Carl Pomerance Copy Share Image
We often hear that mathematics consists mainly of "proving theorems." Is a writer's job mainly that of "writing sentences?" — Gian-Carlo Rota Copy Share Image
Before beginning [to try to prove Fermat's Last Theorem] I should have to put in three years of intensive study, and I… — David Hilbert Copy Share Image
The world is anxious to admire that apex and culmination of modern mathematics: a theorem so perfectly general that no particular application… — George Polya Copy Share Image
![“Heaven is angered by my arrogance; my proof [of the four-color theorem] is also defective.” quote by Hermann Minkowski](https://sms4smile.com/quotes/i/a2c/hermann-minkowski-55458_arrogance_heaven-is-angered-by-my-arrogance-my-pro_3201815.png)
![“[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.” quote by Gabriel Lippmann](https://sms4smile.com/quotes/i/caa/gabriel-lippmann-37391_belief_on-the-gaussian-curve-remarked-to-poinca_446072.png)
![“Before beginning [to try to prove Fermat's Last Theorem] I should have to put in three years of intensive study, and I haven't that much time to squander on a probable failure.” quote by David Hilbert](https://sms4smile.com/quotes/i/b4f/david-hilbert-12585_education_before-beginning-to-try-to-prove-fermat_2395986.jpg)
