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
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
There are infinitely many variations of the initial situation and therefore no doubt indefinitely many theorems of moral geometry. — John Rawls 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
Those who have more power are liable to sin more; no theorem in geometry is more certain than this. — Lord Acton 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
That's the problem with false proofs of true theorems; it's not easy to produce a counterexample. — Jeffrey Shallit Copy Share Image
The pursuit of pretty formulas and neat theorems can no doubt quickly degenerate into a silly vice, but so can the quest… — Anonymous 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
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
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
We are on the verge: Today our program proved Fermat's next-to-last theorem. — Alan Perlis 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
Mystery is an inescapable ingredient of mathematics. Mathematics is full of unanswered questions, which far outnumber known theorems and results. It's the… — Ivars Peterson 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
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 theory of numbers, more than any other branch of mathematics, began by being an experimental science. Its most famous theorems have… — G. H. Hardy 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
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
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
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
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
Professor Eddington has recently remarked that 'The law that entropy always increases - the second law of thermodynamics - holds, I think,… — Ronald Fisher Copy Share Image
It is a matter for considerable regret that Fermat, who cultivated the theory of numbers with so much success, did not leave… — Adrien-Marie Legendre Copy Share Image
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