000 03974nam a2200373Ki 4500
001 ocn908254048
003 OCoLC
005 20240726104726.0
008 150501s2015 enk ob 001 0 eng d
040 _aNT
_beng
_erda
_epn
_cNT
020 _a9781316393314
_q((electronic)l(electronic)ctronic)
050 0 4 _aBC91
_b.P874 2015
049 _aNTA
100 1 _aParis, J. B.
_q(Jeff B.),
_e1
245 1 0 _aPure inductive logic /Jeffrey Paris, University of Manchester, Alena Vencovská, University of Manchester.
260 _aCambridge :
_bCambridge University Press,
_c(c)2015.
300 _a1 online resource (x, 342 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _adata file
_2rda
490 1 _aPerspectives in logic
520 0 _a"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"--
_cProvided by publisher.
504 _a2
505 0 0 _aPart 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 --
_tPart 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 --
_tPart 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 u {\overline{p},L} ; 30. The homogeneous/heterogeneous divide ; 31. Representation theorems for Sx ; 32. Language invariance with Sx ; 33. Sx without language invariance ; 34. A general representation theorem for Sx ; 35. The Carnap-Stegmüller principle ; 36. Instantial relevance and Sx ; 37. Equality ; 38. The polyadic Johnson's sufficientness postulate ; 39. Polyadic symmetry ; 40. Similarity ; 41. PIP and atom exchangeability ; 42. The functions u_{\overline{E}} {\overline{p},L} ; 43. Less well travelled roads ; Bibliography ; Index ; Symbols and abbreviations.
530 _a2
_ub
650 0 _aInduction (Logic)
655 1 _aElectronic Books.
700 1 _aVencovská, Alena,
_e1
856 4 0 _zClick to access digital title | log in using your CIU ID number and my.ciu.edu password.
_uhttpss://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=975518&site=eds-live&custid=s3260518
942 _cOB
_D
_eEB
_hBC
_m2015
_QOL
_R
_x
_8NFIC
_2LOC
994 _a02
_bNT
999 _c76162
_d76162
902 _a1
_bCynthia Snell
_c1
_dCynthia Snell