A Sane Mind Should Not

But For Harmony Beautiful To Contemplate, Science Would Not Be Worth Following.

Thought Is Only A Flash Between Two Long Nights, But This Flash Is Everything.

Mathematical Discoveries, Small Or Great Are Never Born Of Spontaneous Generation They Always Presuppose A Soil Seeded With Preliminary Knowledge And Well Prepared By Labour, Both Conscious And Subconscious.

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.

Thus, Be It Understood, To Demonstrate A Theorem, It Is Neither Necessary Nor Even Advantageous To Know What It Means. The Geometer Might Be Replaced By The "logic Piano" Imagined By Stanley Jevons; Or, If You Choose, A Machine Might Be Imagined Where The Assumptions Were Put In At One End, While The Theorems Came Out At The Other, Like The Legendary Chicago Machine Where The Pigs Go In Alive And Come Out Transformed Into Hams And Sausages. No More Than These Machines Need The Mathematician Know What He Does.