I will add that I have recently received from Hungary a little paper on non-Euclidean geometry in which I rediscover all my own ideas and results worked out with great elegance... The writer is a very young Austrian officer, the son of one of my early friends, with whom I often discussed the subject in 1798, although my ideas were at that time far removed from the development and maturity which they have received through the original reflections of this young man. I consider the young geometer J. Bolyai a genius of the first rank.

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 min…

Mathematics is the queen of the sciences.

We must admit with humility that, while number is purely a product of our minds, space has a reality outside our minds, so that we cannot completely prescribe …

In the judgment of the most competent living mathematicians, Fraulein Noether was the most significant creative mathematical genius thus far produced since the…

I believe no woman could have invented calculus.

Here before us was sufficient evidence to show that it really was an entrance to a tomb, and by the seals, to all outward appearances that it was intact.