And What, Then, Is Belief? It Is

In All The Works On Pedagogy That Ever I Read — And They Have Been Many, Big, And Heavy — I Don't Remember That Any One Has Advocated A System Of Teaching By Practical Jokes, Mostly Cruel. That, However, Describes The Method Of Our Great Teacher, Experience.

To Suppose Universal Laws Of Nature Capable Of Being Apprehended By The Mind And Yet Having No Reason For Their Special Forms, But Standing Inexplicable And Irrational, Is Hardly A Justifiable Position. Uniformities Are Precisely The Sort Of Facts That Need To Be Accounted For. Law Is Par Excellence The Thing That Wants A Reason. Now The Only Possible Way Of Accounting For The Laws Of Nature, And For Uniformity In General, Is To Suppose Them Results Of Evolution.

We Cannot Begin With Complete Doubt.

Unless Man Have A Natural Bent In Accordance With Nature's, He Has No Chance Of Understanding Nature At All.

...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.