Bad Reasoning As Well As Good Reasoning

Truth Is That Concordance Of An Abstract Statement With The Ideal Limit Towards Which Endless Investigation Would Tend To Bring Scientific Belief, Which Concordance The Abstract Statement May Possess By Virtue Of The Confession Of Its Inaccuracy And One-sidedness, And This Confession Is An Essential Ingredient Of Truth.

A Sign, Or Representamen, Is Something Which Stands To Somebody For Something In Some Respect Or Capacity. It Addresses Somebody,that Is, Creates In The Mind Of That Person An Equivalent Sign, Or Perhaps A More Developed Sign. That Sign Which It Creates I Call The Interpretant Of The First Sign. The Sign Stands For Something, Its Object. It Stands For That Object, Not In All Respects, But In Reference To A Sort Of Idea, Which I Have Sometimes Called The Ground Of The Representamen.

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.

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

By An Object, I Mean Anything That We Can Think, I.e. Anything We Can Talk About.