"But in our opinion truths of this kind should be drawn from notions rather than from notations."

"The problem of distinguishing prime numbers from composite numbers and of resolving the latter into their prime facto…"

"The enchanting charms of this sublime science reveal themselves in all their beauty only to those who have the courag…"

"It is not knowledge, but the act of learning, not possession but the act of getting there, which grants the greatest …"

"In researches in which an infinity of directions of straight lines in space is concerned, it is advantageous to repre…"

"Less depends upon the choice of words than upon this, that their introduction shall be justified by pregnant theorems."

"Arc, amplitude, and curvature sustain a similar relation to each other as time, motion, and velocity, or as volume, m…"

"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…"

"We must admit with humility that, while number is purely a product of our minds, space has a reality outside our mind…"

"I confess that Fermat's Theorem as an isolated proposition has very little interest for me, because I could easily la…"