So-called professional mathematicians have, in their reliance on the relative incapacity of the rest of mankind, acquired for themselves a reputation for profundity very similar to the reputation for sanctity possessed by theologians.

I know that two and two make four -- and should be glad to prove it too if I could -- though I must say if by any sort of process I could convert 2 and 2 into five it would give me much greater pleasure.

Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.

Yet what are all such gaieties to me whose thoughts are full of indices and surds?

Mathematics would certainly have not come into existence if one had known from the beginning that there was in nature no exactly straight line, no actual circle, no absolute magnitude.

I would advise you Sir, to study algebra, if you are not already an adept in it: your head would be less muddy, and you will leave off tormenting your neighbors about paper and packthread, while we all live together in a world that is bursting with sin and sorrow.

Mathematicians are like Frenchman: whatever you say to them they translate Into their own language, and forthwith it is something entirely different.

Mathematics, rightly viewed, posses not only truth, but supreme beauty a beauty cold and austere, like that of sculpture.

As far as the laws of mathematics refer to reality, they are not certain, and as far as they are certain, they do not refer to reality.