To Invent Is To Discern, To Choose.

Logic Sometimes Makes Monsters. For Half A Century We Have Seen A Mass Of Bizarre Functions Which Appear To Be Forced To Resemble As Little As Possible Honest Functions Which Serve Some Purpose.

[t]he Different Branches Of Arithmetic - Ambition [g]eometry Is Not True, It Is Advantageous.

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

One Would Have To Have Completely Forgotten The History Of Science So As To Not Remember That The Desire To Know Nature Has Had The Most Constant And The Happiest Influence On The Development Of Mathematics.

We Also Know How Cruel The Truth Often Is, And We Wonder Whether Delusion Is Not More Consoling.