Two Axioms to extend Zermelo-Fraenkel Theory

2/5/01


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Table of Contents

Two Axioms to extend Zermelo-Fraenkel Theory

Introduction

Explosive Operators

Axiom of Monotonicity

Axiom of Fusion

Unification Theorem

Skolem Paradox

Paradox Lost

Lebesgue Measure

Conclusion

Author: K. K. Nambiar

Email: nambiar@mediaone.net

Home Page: http://www.ece.rutgers.edu/~knambiar

Who should read this:

  • Anybody who wants Continuum Hypothesis and Axiom of Choice to be true in set theory.
  • Anybody who does not want non-Lebesgue measurable sets and Skolem Paradox in set theory.
  • Computer Science instructors who want to give a simple picture of set theory to their students.
  • Mathematicians who want to publish on the Web.
  • Intuitionists who want to be charitable towards other schools of thought.

If you like what you read, tell others, if not, tell me, but please be gentle.