If others would but reflect on mathematical truths as deeply and as continuously as I have, they would make my discoveries
Mathematics is the queen of sciences and arithmetic is the queen of mathematics
Ask her to wait a moment - I am almost done.
God does arithmetic
Mathematicians stand on each other's shoulders.
Life stands before me like an eternal spring with new and brilliant clothes.
But in our opinion truths of this kind should be drawn from notions rather than from notations.
I have had my results for a long time: but I do not yet know how I am to arrive at them.
You know that I write slowly. This is chiefly because I am never satisfied until I have said as much as possible in a few words, and writing briefly takes far more time than writing at length.
When I have clarified and exhausted a subject, then I turn away from it, in order to go into darkness again.
Further, the dignity of the science itself seems to require that every possible means be explored for the solution of a problem so elegant and so celebrated.
The enchanting charms of this sublime science reveal only to those who have the courage to go deeply into it.
There are problems to whose solution I would attach an infinitely greater importance than to those of mathematics, for example touching ethics, or our relation to God, or concerning our destiny and our future; but their solution lies wholly beyond us and completely outside the province of science.
To praise it would amount to praising myself. For the entire content of the work... coincides almost exactly with my own meditations which have occupied my mind for the past thirty or thirty-five years.
It may be true, that men, who are mere mathematicians, have certain specific shortcomings, but that is not the fault of mathematics, for it is equally true of every other exclusive occupation.