عنوان

Pure inductive logic /

Terms of Availability and/or Price

(hardback)

Terms of Availability and/or Price

(hardback)

(Number (ISBN

1107042305

(Number (ISBN

9781107042308

Number

dltt

Title Proper

Pure inductive logic /

General Material Designation

[Book]

First Statement of Responsibility

Jeffrey Paris, University of Manchester, Alena Vencovská, University of Manchester

Specific Material Designation and Extent of Item

x, 342 pages ;

Dimensions

24 cm

Series Title

Perspectives in logic

Text of Note

Includes bibliographical references and index

Text of Note

Machine generated contents note: 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. Carnap's continuum of inductive methods; 16. Irrelevance; 17. Another continuum of inductive methods; 18. The NP-continuum; 19. The weak irrelevance principle; 20. Equalities and inequalities; 21. Principles of analogy; 22. Unary symmetry; Part III. Polyadic Inductive Logic: 23. Introduction to polyadic pure inductive logic; 24. Polyadic constant exchangeability; 25. Polyadic regularity; 26. Spectrum exchangeability; 27. Conformity; 28. The probability functions $û{\overline{p},L}$; 29. The homogeneous/heterogeneous divide; 30. Representation theorems for Sx; 31. Language invariance with Sx; 32. Sx without language invariance; 33. A general representation theorem for Sx; 34. The Carnap-Stegmüller principle; 35. Instantial relevance and Sx; 36. Equality; 37. The polyadic Johnson's sufficientness postulate; 38. Polyadic symmetry; 39. Nathanial's invariance principle, NIP; 40. NIP and atom exchangeability; 41. The functions $u_{\overline{E}}̂{\overline{p},L}$; 42. The state of play; Bibliography; Index; Glossary

0

Text of Note

"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"--

Induction (Logic)

Class number

Book number

Paris, J. B., (Jeff B.)

Vencovská, Alena

Date of Transaction

20150420022041.0

Cataloguing Rules (Descriptive Conventions))

rda

Electronic name

[Book]

Y