It Is With Logic That One Proves;

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.

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.

If We Knew Exactly The Laws Of Nature And The Situation Of The Universe At The Initial Moment, We Could Predict Exactly The Situation Of The Same Universe At A Succeeding Moment.

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.

. . . By Natural Selection Our Mind Has Adapted Itself To The Conditions Of The External World. It Has Adopted The Geometry Most Advantageous To The Species Or, In Other Words, The Most Convenient. Geometry Is Not True, It Is Advantageous.