The Theory of Logical Types : Monographs in Modern Logic book cover
1st Edition

The Theory of Logical Types
Monographs in Modern Logic

ISBN 9780415617031
Published July 20, 2012 by Routledge
142 Pages

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Book Description

This reissue, first published in 1971, provides a brief historical account of the Theory of Logical Types; and describes the problems that gave rise to it, its various different formulations (Simple and Ramified), the difficulties connected with each, and the criticisms that have been directed against it. Professor Copi seeks to make the subject accessible to the non-specialist and yet provide a sufficiently rigorous exposition for the serious student to see exactly what the theory is and how it works.

Table of Contents

Part One: The Paradoxes  1. Logical Paradoxes  2. Semantic Paradoxes  3. Classification of the Paradoxes  4. Importance of the Paradoxes. Part Two: The Simple Theory of Types  5. Informal Exposition of Simple Type Theory  6. Formalization of the Simple Theory of Types  7. An Alternative Formulation of Simple Type Theory  8. Criticisms of the Simple Theory of Types. Part Three: The Ramified Theory of Types.  9. The Vicious Circle Principle  10. The Hierarchy of Propositions  11. Simple Type Theory as Part of Ramified Type Theory  12. Hierarchies of Orders  13. The Axiom of Reducibility  14. Criticisms of the Axiom of Reducibility  15. Criticisms of the Ramified Theory of Types  16. An Alternative Resolution of the Semantic Paradoxes.

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