000			03851nam a22003618i 4500
001			CR9781107326194
003			UkCbUP
005			20200124160215.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			130130s2015||||enk o ||1 0|eng|d
020			_a9781107326194 (ebook)
020			_z9781107042308 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aBC91 _b.P37 2015
082	0	0	_a161 _223
100	1		_aParis, J. B. _q(Jeff B.), _eauthor.
245	1	0	_aPure inductive logic / _cJeffrey Paris, University of Manchester, Alena Vencovská, University of Manchester.
264		1	_aCambridge : _bCambridge University Press, _c2015.
300			_a1 online resource (x, 342 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aPerspectives in logic
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	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 -- 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 $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.
520			_aPure 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.
650		0	_aInduction (Logic)
700	1		_aVencovská, Alena, _eauthor.
776	0	8	_iPrint version: _z9781107042308
830		0	_aPerspectives in logic.
856	4	0	_uhttps://doi.org/10.1017/CBO9781107326194
999			_c516146 _d516144