When Anything Is Present To The Mind,

Among The Minor, Yet Striking Characteristics Of Mathematics, May Be Mentioned The Fleshless And Skeletal Build Of Its Propositions; The Peculiar Difficulty, Complication, And Stress Of Its Reasonings; The Perfect Exactitude Of Its Results; Their Broad Universality; Their Practical Infallibility.

The Definition Of Definition Is At Bottom Just What The Maxim Of Pragmatism Expresses.

Another Characteristic Of Mathematical Thought Is That It Can Have No Success Where It Cannot Generalize.

I Think Of Consciousness As A Bottomless Lake, Whose Waters Seem Transparent, Yet Into Which We Can Clearly See But A Little Way.but In This Water There Are Countless Objects At Different Depths; And Certain Influences Will Give Certain Kinds Of Those Objects An Upward Influence Which May Be Intense Enough And Continue Long Enough To Bring Them Into The Upper Visible Layer. After The Impulse Ceases They Commence To Sink Downwards.

Mere Imagination Would Indeed Be Mere Trifling; Only No Imagination Is Mere .