The One [the Logician] Studies The Science

It Is Certain That The Only Hope Of Retroductive Reasoning Ever Reaching The Truth Is That There May Be Some Natural Tendency Toward An Agreement Between The Ideas Which Suggest Themselves To The Human Mind And Those Which Are Concerned In The Laws Of Nature.

The Definition Of Definition Is At Bottom Just What The Maxim Of Pragmatism Expresses.

A True Proposition Is A Proposition Belief Which Would Never Lead To Such Disappointment So Long As The Proposition Is Not Understood Otherwise Than It Was Intended.

It Is Important To Understand What I Mean By Semiosis. All Dynamic Action, Or Action Of Brute Force, Physical Or Psychical, Either Takes Place Between Two Subjects, Whether They React Equally Upon Each Other, Or One Is Agent And The Other Patient, Entirely Or Partially, Or At Any Rate Is A Resultant Of Such Actions Between Pairs. But By "semiosis" I Mean, On The Contrary, An Action, Or Influence, Which Is, Or Involves, A Cooperation Of Three Subjects, Such As A Sign, Its Object, And Its Interpretant, This Tri-relative Influence Not Being In Any Way Resolvable Into Actions Between Pairs.

Kepler's Discovery Would Not Have Been Possible Without The Doctrine Of Conics. Now Contemporaries Of Kepler-such Penetrating Minds As Descartes And Pascal-were Abandoning The Study Of Geometry ... Because They Said It Was So Utterly Useless. There Was The Future Of The Human Race Almost Trembling In The Balance; For Had Not The Geometry Of Conic Sections Already Been Worked Out In Large Measure, And Had Their Opinion That Only Sciences Apparently Useful Ought To Be Pursued, The Nineteenth Century Would Have Had None Of Those Characters Which Distinguish It From The Ancien Régime.