Mathematicians Do Not Deal In Objects, But

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.

Mathematicians Do Not Deal In Objects, But In Relations Between Objects; Thus, They Are Free To Replace Some Objects By Others So Long As The Relations Remain Unchanged. Content To Them Is Irrelevant: They Are Interested In Form Only.

A Very Small Cause, Which Escapes Us, Determines A Considerable Effect Which We Cannot Ignore, And We Say That This Effect Is Due To Chance.

What Is It Indeed That Gives Us The Feeling Of Elegance In A Solution, In A Demonstration?

All That Is Not Thought Is Pure Nothingness; Since We Can Think Only Thoughts, And All The Words We Use To Speak Of Things Can Express Only Thoughts, To Say There Is Something Other Than Thought Is Therefore An Affirmation Which Can Have No Meaning.