Every man who is not a monster, a mathematician, or a mad philosopher, is the slave of some woman or other.
To your care and recommendation am I indebted for having replaced a half-blind mathematician with a mathematician with both eyes, which will especially please the anatomical members of my Academy.
Tips-wise, I'd say drink as much water as possible, and I always think if you can do half an hour of exercise every day or, at least, get your heart rate up for half an hour every day, even if it's a power walk, it's good.
I mean the word proof not in the sense of the lawyers, who set two half proofs equal to a whole one, but in the sense of a mathematician, where half proof = 0, and it is demanded for proof that every doubt becomes impossible.
A philosopher once said, 'Half of good philosophy is good grammar.'
That's my mathematician who examines problems which I put before him and checks their validity. You see, I am not myself a good mathematician.
To me, Turing is as much of a philosopher as he is a mathematician because his ideas deal with what it means to think.
This is too difficult for a mathematician. It takes a philosopher. The hardest thing in the world to understand is the income tax.
Bertrand Russell started off as a mathematician and then degenerated into a philosopher and finally into a humanist; he went downhill rapidly!
Every good mathematician should also be a good chess player and vice versa.
Every man should view himself as equally balanced: half good and half evil. Likewise, he should see the entire world as half good and half evil.... With a single good deed he will tip the scales for himself, and for the entire world, to the side of good.
I think you can fan the flames, but I think in the same way that a mathematician is a mathematician - He's not taught to be a mathematician. He either has a feeling for equations and an understanding and delight in it, not only in the purity of it, but in its beauty as well.
A mathematician experiments, amasses information, makes a conjecture, finds out that it does not work, gets confused and then tries to recover. A good mathematician eventually does so - and proves a theorem.
Was it not the great philosopher and mathematician Leibnitz who said that the more knowledge advances the more it becomes possible to condense it into little books?
This is a question too difficult for a mathematician. It should be asked of a philosopher"(when asked about completing his income tax form)
Thus, I blush to add, you can not be a philosopher and a good man, though you may be a philosopher and a great one.