Abstract Objects:
An Introduction to Axiomatic Metaphysics

Author

Edward N. Zalta

Reference

Dordrecht: D. Reidel (Kluwer), 1983 (xiii + 193 pages)

Table of Contents

PREFACE

INTRODUCTION

  1. Theory, Data, and Explanation
  2. The Origins of the Theory

CHAPTER I: ELEMENTARY OBJECT THEORY

  1. The Language
  2. The Semantics
  3. The Logic
  4. The Proper Axioms
  5. An Auxiliary Hypothesis

CHAPTER II: APPLICATIONS OF THE ELEMENTARY THEORY

  1. Modeling Plato's Forms
  2. Modeling the Round Square, etc.
  3. The Problem of Existence

CHAPTER III: THE MODAL THEORY OF ABSTRACT OBJECTS (WITH PROPOSITIONS)

  1. The Language
  2. The Semantics
  3. The Logic
  4. The Proper Axioms
  5. An Auxiliary Hypothesis

CHAPTER IV: APPLICATIONS OF THE MODAL THEORY

  1. Truth
  2. Modeling Possible Worlds
  3. Modeling Leibniz's Monads
  4. Modeling Stories and Native Characters
  5. Modality and Descriptions

CHAPTER V: THE TYPED THEORY OF ABSTRACT OBJECTS

  1. The Language
  2. The Semantics
  3. The Logic
  4. The Proper Axioms
  5. An Auxiliary Hypothesis

CHAPTER VI: APPLICATIONS OF THE TYPED THEORY

  1. Modeling Fregean Senses (I)
  2. Modeling Fregean Senses (II)
  3. Modeling Impossible and Fictional Relations
  4. Modeling Mathematical Myths and Entities

CONCLUSION

APPENDICES

  1. Modeling the Theory Itself
  2. Modeling Notions

NOTES

BIBLIOGRAPHY

INDEX