On Gödel's Philosophy of Mathematics,

by Harold Ravitch, Ph.D.
Chairman, Department of Philosophy
Los Angeles Valley College

Table of Contents

• Title and Signature Page [1.1K]
• Abstract [1.2K]

On Gödel's Philosophy of Mathematics

• Chapter I: Gödel's Methodology of Mathematics [41.2K]
  • 1.) Gödel's Defense of Classical Mathematics
  • 2.) The Vicious Circle Principle
  • 3.) Gödel's Research in Intuitionistic Mathematics
  • 4.) Gödel's Dilemma of Higher Axioms
  • 5.) Truth Criteria for Higher Axioms
  • 6.) Some Concluding Remarks on Gödel's Methodology
  • Appendix A
  • Appendix B

• Chapter II: Gödel on the Existence of Mathematical Objects [33.5K]
  • 1.) Gödel's Realism
  • 2.) Gödel's Interpretation of 'exist'
  • 3.) Some Criticisms of Gödel's Realism
  • 4.) Gödel's Realism vis à vis Gödel's Methodology of Mathematics
  • Appendix A

• Notes and References [33.8K]
• Bibiography [7.5K]

• Principles of Predicate Calculus, by Harold Ravitch, Ph.D. [0.5K]

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