000 | 03974nam a2200373Ki 4500 | ||
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001 | ocn908254048 | ||
003 | OCoLC | ||
005 | 20240726104726.0 | ||
008 | 150501s2015 enk ob 001 0 eng d | ||
040 |
_aNT _beng _erda _epn _cNT |
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_a9781316393314 _q((electronic)l(electronic)ctronic) |
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050 | 0 | 4 |
_aBC91 _b.P874 2015 |
049 | _aNTA | ||
100 | 1 |
_aParis, J. B. _q(Jeff B.), _e1 |
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245 | 1 | 0 | _aPure inductive logic /Jeffrey Paris, University of Manchester, Alena Vencovská, University of Manchester. |
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_aCambridge : _bCambridge University Press, _c(c)2015. |
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300 | _a1 online resource (x, 342 pages) | ||
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_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_adata file _2rda |
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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. |
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_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. |
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_a2 _ub |
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650 | 0 | _aInduction (Logic) | |
655 | 1 | _aElectronic Books. | |
700 | 1 |
_aVencovská, Alena, _e1 |
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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 |
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_cOB _D _eEB _hBC _m2015 _QOL _R _x _8NFIC _2LOC |
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_a02 _bNT |
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_c76162 _d76162 |
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_a1 _bCynthia Snell _c1 _dCynthia Snell |