Pure Inductive Logic: Perspectives in Logic
Autor Jeffrey Paris, Alena Vencovskáen Limba Engleză Hardback – apr 2015
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Specificații
ISBN-13: 9781107042308
ISBN-10: 1107042305
Pagini: 354
Ilustrații: 1 b/w illus.
Dimensiuni: 152 x 229 x 21 mm
Greutate: 0.64 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Perspectives in Logic
Locul publicării:New York, United States
ISBN-10: 1107042305
Pagini: 354
Ilustrații: 1 b/w illus.
Dimensiuni: 152 x 229 x 21 mm
Greutate: 0.64 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Perspectives in Logic
Locul publicării:New York, United States
Cuprins
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 $u^{\overline{p},L}$; 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.
Recenzii
'The monograph should prove an invaluable reference for researchers keen to embark on working in this area …' Eric A. Martin, MathSciNet (www.ams.org/mathscinet)
Notă biografică
Descriere
A self-contained guide to pure inductive logic, the study of rational probability treated as a branch of mathematical logic.