Theorems often tell us complex truths about the simple things, but only rarely tell us simple truths about the complex ones. To… — Marvin Minsky Copy Share Image
The great poem and the deep theorem are new to every reader, and yet are his own experiences, because he himself recreates… — Jacob Bronowski Copy Share Image
The "seriousness" of a mathematical theorem lies, not in its practical consequences, which are usually negligible, but in the significance of the… — G. H. Hardy Copy Share Image
Without computers we will be stuck only proving theorems that have short proofs. — Kenneth Appel Copy Share Image
The scientist has to take 95 per cent of his subject on trust. He has to because he can't possibly do all… — Christopher Zeeman 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
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
Mathematics does not grow through a monotonous increase of the number of indubitably established theorems but through the incessant improvement of guesses… — Imre Lakatos Copy Share Image
For what is important when we give children a theorem to use is not that they should memorize it. What matters most… — Seymour Papert 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
All I remember about the examination is that there was a question on Sturm's theorem about equations, which I could not do… — Louis J. Mordell 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
How can you shorten the subject? That stern struggle with the multiplication table, for many people not yet ended in victory, how… — Stephen Leacock 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
... fain would I turn back the clock and devote to French or some other language the hours I spent upon algebra,… — Jessie Belle Rittenhouse Copy Share Image
A peculiarity of the higher arithmetic is the great difficulty which has often been experienced in proving simple general theorems which had… — Harold Davenport Copy Share Image
It gives me the same pleasure when someone else proves a good theorem as when I do it myself. — Edmund Landau 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
[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
[Barack] Obama still is in campaign mode. The Limbaugh Theorem explains it. We've had eight years of Obama and he still isn't… — Rush Limbaugh Copy Share Image
The axiom of conditioned repetition, like the binomial theorem, is nothing but a piece of insolence. — Edward Abbey Copy Share Image
I think that mathematics can benefit by acknowledging that the creation of good models is just as important as proving deep theorems. — David Mumford Copy Share Image
One would normally define a "religion" as a system of ideas that contain statements that cannot be logically or observationally demonstrated... Gödels… — John D. Barrow Copy Share Image
We decided that 'trivial' means 'proved'. So we joked with the mathematicians: We have a new theorem- that mathematicians can prove only… — Richard P. Feynman Copy Share Image
The product of mathematics is clarity and understanding. Not theorems, by themselves. ... In short, mathematics only exists in a living community… — William Thurston Copy Share Image