Another Characteristic Of Mathematical Thought Is That

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.

Truly, That Reason Upon Which We Plume Ourselves, Though It May Answer For Little Things, Yet For Great Decisions Is Hardly Surer Than A Toss Up.

Looking Out Of My Window This Lovely Spring Morning I See An Azalea In Full Bloom. No, No! I Do Not See That; Though That Is The Only Way I Can Describe What I See. That Is A Proposition, A Sentence, A Fact; But What I Perceive Is Not Proposition, Sentence, Fact, But Only An Image Which I Make Intelligible In Part By Means Of A Statement Of Fact. This Statement Is Abstract; But What I See Is Concrete.

Generality Is, Indeed, An Indispensable Ingredient Of Reality; For Mere Individual Existence Or Actuality Without Any Regularity Whatever Is A Nullity. Chaos Is Pure Nothing.

No General Description Of The Mode Of Advance Of Human Knowledge Can Be Just Which Leaves Out Of Account The Social Aspect Of Knowledge. That Is Of Its Very Essence. What A Thing Society Is! The Workingman, With His Trade Union, Knows That. Men And Women Moving In Polite Society Understand It, Still Better. But Bohemians, Like Me, Whose Work Is Done In Solitude, Are Apt To Forget That Not Only Is A Man As A Whole Little Better Than A Brute In Solitude, But Also That Everything That Bears Any Important Meaning To Him Must Receive Its Interpretation From Social Considerations.