Abel has left mathematicians something to keep them busy for five hundred years..

I shall risk nothing on an attempt to prove the transcendence of p. If others undertake this enterprise, no one will be happier than I in their succe….

I turn away with fright and horror from the lamentable evil of functions which do not have derivatives..

We are servants rather than masters in mathematics..

There exists, if I am not mistaken, an entire world which is the totality of mathematical truths, to which we have access only with our mind, just as….

Analysis takes back with one hand what it gives with the other. I recoil in fear and loathing from that deplorable evil: continuous functions with no….

I believe that numbers and functions of Analysis are not the arbitrary result of our minds; I think that they exist outside of us, with the same char….

In mathematics our role is more that of servant than master..