The Theory of Logical Types

Monographs in Modern Logic
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ISBN-13:
9780415617031
Veröffentl:
2012
Erscheinungsdatum:
24.07.2012
Seiten:
142
Autor:
Irving Copi
Gewicht:
145 g
Format:
198x129x8 mm
Sprache:
Englisch
Beschreibung:

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.
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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