Don't Always Blindly Follow Guidance And Step-by-step

The Actual Infinite Arises In Three Contexts: First When It Is Realized In The Most Complete Form, In A Fully Independent Otherworldly Being, In Deo, Where I Call It The Absolute Infinite Or Simply Absolute; Second When It Occurs In The Contingent, Created World; Third When The Mind Grasps It In Abstracto As A Mathematical Magnitude, Number Or Order Type.

Mathematics Is Entirely Free In Its Development, And Its Concepts Are Only Linked By The Necessity Of Being Consistent, And Are Co-ordinated With Concepts Introduced Previously By Means Of Precise Definitions.

What I Assert And Believe To Have Demonstrated In This And Earlier Works Is That Following The Finite There Is A Transfinite (which One Could Also Call The Supra-finite), That Is An Unbounded Ascending Lader Of Definite Modes, Which By Their Nature Are Not Finite But Infinite, But Which Just Like The Finite Can Be Determined By Well-defined And Distinguishable Numbers.

In Mathematics The Art Of Proposing A Question Must Be Held Of Higher Value Than Solving It.

A Set Is A Many That Allows Itself To Be Thought Of As A One.