The Only Thing That I Know, Is

Intuition Is The Undoubting Conception Of A Pure And Attentive Mind, Which Arises From The Light Of Reason Alone, And Is More Certain Than Deduction.

Perfect Numbers Like Perfect Men Are Very Rare.

I Hope That Posterity Will Judge Me Kindly, Not Only As To The Things Which I Have Explained, But Also To Those Which I Have Intentionally Omitted So As To Leave To Others The Pleasure Of Discovery.

Here I Beg You To Observe In Passing That The Scruples That Prevented Ancient Writers From Using Arithmetical Terms In Geometry, And Which Can Only Be A Consequence Of Their Inability To Perceive Clearly The Relation Between These Two Subjects, Introduced Much Obscurity And Confusion Into Their Explanations.

As I Considered The Matter Carefully It Gradually Came To Light That All Those Matters Only Were Referred To Mathematics In Which Order And Measurements Are Investigated, And That It Makes No Difference Whether It Be In Numbers, Figures, Stars, Sounds Or Any Other Object That The Question Of Measurement Arises. I Saw Consequently That There Must Be Some General Science To Explain That Element As A Whole Which Gives Rise To Problems About Order And Measurement, Restricted As These Are To No Special Subject Matter. This, I Perceived Was Called 'universal Mathematics'.