The Pragmatist Knows That Doubt Is An

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 Idea Does Not Belong To The Soul; It Is The Soul That Belongs To The Idea.

It Is Not Too Much To Say That Next After The Passion To Learn There Is No Quality So Indispensable To The Successful Prosecutionof Science As Imagination. Find Me A People Whose Early Medicine Is Not Mixed Up With Magic And Incantations, And I Will Find You A People Devoid Of All Scientific Ability.

Truth Is That Concordance Of An Abstract Statement With The Ideal Limit Towards Which Endless Investigation Would Tend To Bring Scientific Belief, Which Concordance The Abstract Statement May Possess By Virtue Of The Confession Of Its Inaccuracy And One-sidedness, And This Confession Is An Essential Ingredient Of Truth.

It Is A Common Observation That A Science First Begins To Be Exact When It Is Quantitatively Treated. What Are Called The Exact Sciences Are No Others Than The Mathematical Ones.