The Consciousness Of A General Idea Has

Another Characteristic Of Mathematical Thought Is That It Can Have No Success Where It Cannot Generalize.

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.

There Never Was A Sounder Logical Maxim Of Scientific Procedure Than Ockham's Razor: Entia Non Sunt Multiplicanda Praeter Necessitatem. That Is To Say; Before You Try A Complicated Hypothesis, You Should Make Quite Sure That No Simplification Of It Will Explain The Facts Equally Well.

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.

I Think Of Consciousness As A Bottomless Lake, Whose Waters Seem Transparent, Yet Into Which We Can Clearly See But A Little Way.but In This Water There Are Countless Objects At Different Depths; And Certain Influences Will Give Certain Kinds Of Those Objects An Upward Influence Which May Be Intense Enough And Continue Long Enough To Bring Them Into The Upper Visible Layer. After The Impulse Ceases They Commence To Sink Downwards.