Mathematics Is The Art Of Giving The

Ideas Rose In Clouds; I Felt Them Collide Until Pairs Interlocked, So To Speak, Making A Stable Combination.

In One Word, To Draw The Rule From Experience, One Must Generalize; This Is A Necessity That Imposes Itself On The Most Circumspect Observer.

Zero Is The Number Of Objects That Satisfy A Condition That Is Never Satisfied. But As Never Means "in No Case", I Do Not See That Any Progress Has Been Made.

If We Wish To Foresee The Future Of Mathematics, Our Proper Course Is To Study The History And Present Condition Of The Science.

The Mathematical Facts Worthy Of Being Studied Are Those Which, By Their Analogy With Other Facts, Are Capable Of Leading Us To The Knowledge Of A Physical Law. They Reveal The Kinship Between Other Facts, Long Known, But Wrongly Believed To Be Strangers To One Another.