Pure inductive logic
by Paris, J. B.
Pure inductive logic is the study of rational probability treated as a branch of mathematical logic. This monograph, the first devoted to this approach, brings together the key results from the past seventy years plus the main contributions of the authors and their collaborators over the last decade to present a comprehensive account of the discipline within a single unified context. The exposition is structured around the traditional bases of rationality, such as avoiding Dutch Books, respecti…
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- Full title :Pure inductive logic / Jeffrey Paris, University of Manchester, Alena Vencovská, University of Manchester.
Summary
Pure inductive logic is the study of rational probability treated as a branch of mathematical logic. This monograph, the first devoted to this approach, brings together the key results from the past seventy years plus the main contributions of the authors and their collaborators over the last decade to present a comprehensive account of the discipline within a single unified context. The exposition is structured around the traditional bases of rationality, such as avoiding Dutch Books, respecting symmetry and ignoring irrelevant information. The authors uncover further rationality concepts, both in the unary and in the newly emerging polyadic languages, such as conformity, spectrum exchangeability, similarity and language invariance. For logicians with a mathematical grounding, this book provides a complete self-contained course on the subject, taking the reader from the basics up to the most recent developments. It is also a useful reference for a wider audience from philosophy and computer science.
Read More ↓Edition Statements
- Publication Date:2015
Publication Statements
- Publisher(s):Cambridge University Press
- Place of Publication:Cambridge
- Language:eng
- Publication Date:2015
Notes
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
The Physical Object
- Description:1 online resource (x, 342 Seiten)
Edition Identifiers
- ISBN:9781107326194, 1107326192, 9781107042308, 1107042305
- DOI:10.1017/CBO9781107326194
- oclc:ocn967758748
- LC Classification:BC91
- Dewey Decimal:161
Table of Contents
Part I. The Basics : 1. Introduction to pure inductive logic ; 2. Context ; 3. Probability functions ; 4. Conditional probability ; 5. The Dutch book argument ; 6. Some basic principles ; 7. Specifying probability functions -- Part II. Unary Inductive Logic : 8. Introduction to unary pure inductive logic ; 9. de Finetti's representation theorem ; 10. Regularity and universal certainty ; 11. Relevance ; 12. Asymptotic conditional probabilities ; 13. The conditionalization theorem ; 14. Atom exchangeability ; 15. Reichenbach's axiom ; 16. Carnap's continnuum of inductive methods ; 17. Irrelevance ; 18. Another continuum of inductive methods ; 19. The NP-continuum ; 20. The weak irrelevance principle ; 21. Equalities and inequalities ; 22. Principles of analogy ; 23. Unary symmetry -- Part III. Polyadic Inductive Logic : 24. Introduction to polyadic pure inductive logic ; 25. Polyadic constant exchangeability ; 26. Polyadic regularity ; 27. Spectrum exchangeability ; 28. Conformity ; 29. The probability functions.
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