Man Knows Much More Than He Understands.

In A Country Of Such Recent Civilization As Ours, Whose Almost Limitless Treasures Of Material Wealth Invite The Risks Of Capital And The Industry Of Labor, It Is But Natural That Material Interests Should Absorb The Attention Of The People To A Degree Elsewhere Unknown.

The Human Mind Shows An Urge To Capture Into Fixed Forms Through Unreal Assumptions, That Is, Fictions, That Which Is Chaotic, Always In Flux, And Incomprehensible. Serving This Urge, The Child Quite Generally Uses A Scheme In Order To Act And To Find His Way. We Proceed Much The Same When We Divide The Earth By Meridians And Parallels, For Only Thus Do We Obtain Fixed Points Which We Can Bring Into A Relationship With One Another.

There Is A Law That Man Should Love His Neighbor As Himself. In A Few Hundred Years It Should Be As Natural To Mankind As Breathing Or The Upright Gait; But If He Does Not Learn It He Must Perish.

Meanings Are Not Determined By Situations, But We Determine Ourselves By The Meanings We Give To Situations.

There Is No Thing As A Man Who Does Not Create Mathematics And Yet Is A Fine Mathematics Teacher. Textbooks, Course Material-these Do Not Approach In Importance The Communication Of What Mathematics Is Really About, Of Where It Is Going, And Of Where It Currently Stands With Respect To The Specific Branch Of It Being Taught. What Really Matters Is The Communication Of The Spirit Of Mathematics. It Is A Spirit That Is Active Rather Than Contemplative-a Spirit Of Disciplined Search For Adventures Of The Intellect. Only As Adventurer Can Really Tell Of Adventures.