By An Object, I Mean Anything That

Over Against Any Cognition, There Is An Unknown But Knowable Reality; But Over Against All Possible Cognition, There Is Only The Self-contradictory. In Short, Cognizability (in Its Widest Sense) And Being Are Not Merely Metaphysically The Same, But Are Synonymous Terms.

We Cannot Begin With Complete Doubt.

The Universe Ought To Be Presumed Too Vast To Have Any Character.

A Quality Is Something Capable Of Being Completely Embodied. A Law Never Can Be Embodied In Its Character As A Law Except By Determining A Habit. A Quality Is How Something May Or Might Have Been. A Law Is How An Endless Future Must Continue To Be.

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.