We are on the verge: Today our program proved Fermat's next-to-last theorem. — Alan Perlis 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
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
[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
All theorems have three names: a French name, a German name, and a Russian name, each nationality having claimed to discover it… — Arthur Mattuck 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
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
There are infinitely many variations of the initial situation and therefore no doubt indefinitely many theorems of moral geometry. — John Rawls Copy Share Image
To many, mathematics is a collection of theorems. For me, mathematics is a collection of examples; a theorem is a statement about… — John B. Conway Copy Share Image
The proof of Fermat's Last Theorem underscores how stable mathematics is through the centuries - how mathematics is one of humanity's long… — Barry Mazur 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
“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
Human rights are an aspect of natural law, a consequence of the way the universe works, as solid and as real as… — L. Neil Smith Copy Share Image
There is a theorem that colloquially translates, You cannot comb the hair on a bowling ball. ... Clearly, none of these mathematicians… — Neil deGrasse Tyson Copy Share Image
We re-make nature by the act of discovery, in the poem or in the theorem. And the great poem and the deep… — Jacob Bronowski Copy Share Image
I think mathematics is a vast territory. The outskirts of mathematics are the outskirts of mathematical civilization. There are certain subjects that… — William Thurston Copy Share Image
Phyllis explained to him, trying to give of her deeper self, 'Don't you find it so beautiful, math? Like an endless sheet… — John Updike 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
An axiomatic system comprises axioms and theorems and requires a certain amount of hand-eye coordination before it works. A formal system comprises… — David Berlinski 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
The development of mathematics toward greater precision has led, as is well known, to the formalization of large tracts of it, so… — Kurt Gödel Copy Share Image
Which is to say that culture is not a reflex of political economy, but that society is now a reflex of key… — Arthur Kroker Copy Share Image
In 1975, ... [speaking with Shiing Shen Chern], I told him I had finally learned ... the beauty of fiber-bundle theory and… — Chen-Ning Yang Copy Share Image
About Thomas Hobbes: He was 40 years old before he looked on geometry; which happened accidentally. Being in a gentleman's library, Euclid's… — John Aubrey Copy Share Image
In my [Impossibility] theorem I'm assuming that the information is a ranking. Each voter can say of any two candidates, I prefer… — Kenneth Arrow Copy Share Image
Thus, be it understood, to demonstrate a theorem, it is neither necessary nor even advantageous to know what it means. The geometer… — Henri Poincare Copy Share Image
Heaven is angered by my arrogance; my proof [of the four-color theorem] is also defective. — Hermann Minkowski Copy Share Image
God has the Big Book, the beautiful proofs of mathematical theorems are listed here. — Paul Erdos Copy Share Image
I compare arithmetic with a tree that unfolds upwards in a multitude of techniques and theorems while the root drives into the… — Gottlob Frege Copy Share Image
A mathematician is a person who can find analogies between theorems; a better mathematician is one who can see analogies between proofs… — Stefan Banach Copy Share Image
MacPherson told me that my theorem can be viewed as blah blah blah Grothendieck blah blah blah, which makes it much more… — Jim Propp Copy Share Image
Any effect, constant, theorem or equation named after Professor X was first discovered by Professor Y , for some value of Y… — John C. Baez Copy Share Image
And I believe that the Binomial Theorem and a Bach Fugue are, in the long run, more important than all the battles… — James Hilton Copy Share Image
Humanism . . . is not a single hypothesis or theorem, and it dwells on no new facts. It is rather a… — William James Copy Share Image
Thus, be it understood, to demonstrate a theorem, it is neither necessary nor even advantageous to know what it means ... — Henri Poincare Copy Share Image
Fourier's theorem is not only one of the most beautiful results of modern analysis, but it may be said to furnish an… — Lord Kelvin Copy Share Image
I confess that Fermat's Theorem as an isolated proposition has very little interest for me, because I could easily lay down a… — Carl Friedrich Gauss Copy Share Image
The story does what no theorem can quite do. It may not be "like real life" in the superficial sense: but it… — C. S. Lewis 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
![“[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/img-quotes/caa/gabriel-lippmann-37391_belief_on-the-gaussian-curve-remarked-to-poinca_446072.jpg)
![“Which is to say that culture is not a reflex of political economy, but that society is now a reflex of key shifts in music theory and practice… [Sampladelia is] the sound made by those early-twentieth-century discoveries in particle physics and relativiity theory, the projection of the minds of…” quote by Arthur Kroker](https://sms4smile.com/quotes/img-quotes/911/arthur-kroker-57205_ambivalent_which-is-to-say-that-culture-is-not-a-re_2344316.jpg)
![“In 1975, ... [speaking with Shiing Shen Chern], I told him I had finally learned ... the beauty of fiber-bundle theory and the profound Chern-Weil theorem. I said I found it amazing that gauge fields are exactly connections on fiber bundles, which the mathematicians developed without reference to…” quote by Chen-Ning Yang](https://sms4smile.com/quotes/img-quotes/106/chen-ning-yang-73190_beautiful_in-1975-speaking-with-shiing-shen-chern_129052.jpg)
![“About Thomas Hobbes: He was 40 years old before he looked on geometry; which happened accidentally. Being in a gentleman's library, Euclid's Elements lay open, and "twas the 47 El. libri I" [Pythagoras' Theorem]. He read the proposition "By God", sayd he, "this is impossible:" So he reads the…” quote by John Aubrey](https://sms4smile.com/quotes/img-quotes/d43/john-aubrey-29611_convinced_about-thomas-hobbes-he-was-40-years-old_1668279.jpg)
![“In my [Impossibility] theorem I'm assuming that the information is a ranking. Each voter can say of any two candidates, I prefer this one to this one. So then we have essentially a ranking. It's a list saying this is my first choice. This is my second choice. Each voter, in principle, could be…” quote by Kenneth Arrow](https://sms4smile.com/quotes/img-quotes/9eb/kenneth-arrow-14948_asks_in-my-impossibility-theorem-i-m-assuming_2448414.jpg){kind=icon}
![“Heaven is angered by my arrogance; my proof [of the four-color theorem] is also defective.” quote by Hermann Minkowski](https://sms4smile.com/quotes/img-quotes/a2c/hermann-minkowski-55458_arrogance_heaven-is-angered-by-my-arrogance-my-pro_3201815.jpg)
![“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/img-quotes/b4f/david-hilbert-12585_education_before-beginning-to-try-to-prove-fermat_2395986.jpg)