True Science Is Distinctively The Study Of

...mathematics Is Distinguished From All Other Sciences Except Only Ethics, In Standing In No Need Of Ethics. Every Other Science, Even Logic, Especially In Its Early Stages, Is In Danger Of Evaporating Into Airy Nothingness, Degenerating, As The Germans Say, Into An Arachnoid Film, Spun From The Stuff That Dreams Are Made Of. There Is No Such Danger For Pure Mathematics; For That Is Precisely What Mathematics Ought To Be.

We, One And All Of Us, Have An Instinct To Pray; And This Fact Constitutes An Invitation From God To Pray.

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

We May Say That Feelings Have Two Kinds Of Intensity. One Is The Intensity Of The Feeling Itself, By Which Loud Sounds Are Distinguished From Faint Ones, Luminous Colors From Dark Ones, Highly Chromatic Colors From Almost Neutral Tints, Etc. The Other Is The Intensity Of Consciousness That Lays Hold Of The Feeling, Which Makes The Ticking Of A Watch Actually Heard Infinitely More Vivid Than A Cannon Shot Remembered To Have Been Heard A Few Minutes Ago.

The One [the Logician] Studies The Science Of Drawing Conclusions, The Other [the Mathematician] The Science Which Draws Necessary Conclusions.