Geometry Is Not True, It Is Advantageous.

Every Phenomenon, However Trifling It Be, Has A Cause, And A Mind Infinitely Powerful, And Infinitely Well-informed Concerning The Laws Of Nature Could Have Foreseen It From The Beginning Of The Ages. If A Being With Such A Mind Existed, We Could Play No Game Of Chance With Him; We Should Always Lose.

In The Old Days When People Invented A New Function They Had Something Useful In Mind. Now, They Invent Them Deliberately Just To Invalidate Our Ancestors' Reasoning, And That Is All They Are Ever Going To Get Out Of Them.

Mathematicians Do Not Study Objects, But The Relations Between Objects.

Talk With M. Hermite. He Never Evokes A Concrete Image, Yet You Soon Perceive That The More Abstract Entities Are To Him Like Living Creatures.

Absolute Space, That Is To Say, The Mark To Which It Would Be Necessary To Refer The Earth To Know Whether It Really Moves, Has No Objective Existence.... The Two Propositions: "the Earth Turns Round" And "it Is More Convenient To Suppose The Earth Turns Round" Have The Same Meaning; There Is Nothing More In The One Than In The Other.