The Theory of Logical Types (Routledge Revivals) (Hardback) book cover

The Theory of Logical Types (Routledge Revivals)

By Irving M. Copi

© 2011 – Routledge

116 pages

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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.

About the Series

Routledge Revivals

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Drawing from over 100 years of innovative, cutting-edge, publishing Routledge Revivals is an exciting new programme whereby key titles from the distinguished and extensive backlist of the many acclaimed imprints associated with Routledge will be re-issued.

The programme draws upon the illustrious backlists of Kegan Paul, Trench & Trubner, Routledge & Kegan Paul, Methuen, Allen & Unwin and Routledge itself.

Routledge Revivals spans the whole of the Humanities and Social Sciences, and includes works by some of the world’s greatest thinkers including Emile Durkheim, Max Weber, Simone Weil, Martin Buber, Karl Jaspers and Max Beloff.

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