Pure inductive logic:
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...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2015
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| Schriftenreihe: | Perspectives in logic
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (x, 342 pages) |
| ISBN: | 9781107326194 |
| DOI: | 10.1017/CBO9781107326194 |
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| 505 | 8 | |a 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. 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 | |
| 520 | |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 | ||
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Datensatz im Suchindex
| _version_ | 1804176880724606976 |
|---|---|
| any_adam_object | |
| author | Paris, J. B. |
| author_facet | Paris, J. B. |
| author_role | aut |
| author_sort | Paris, J. B. |
| author_variant | j b p jb jbp |
| building | Verbundindex |
| bvnumber | BV043940328 |
| classification_rvk | SK 130 ST 130 |
| collection | ZDB-20-CBO |
| contents | 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. 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 |
| ctrlnum | (ZDB-20-CBO)CR9781107326194 (OCoLC)967758748 (DE-599)BVBBV043940328 |
| dewey-full | 161 |
| dewey-hundreds | 100 - Philosophy & psychology |
| dewey-ones | 161 - Induction |
| dewey-raw | 161 |
| dewey-search | 161 |
| dewey-sort | 3161 |
| dewey-tens | 160 - Philosophical logic |
| discipline | Informatik Mathematik Philosophie |
| doi_str_mv | 10.1017/CBO9781107326194 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
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| isbn | 9781107326194 |
| language | English |
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| series2 | Perspectives in logic |
| spelling | Paris, J. B. Verfasser aut Pure inductive logic Jeffrey Paris, University of Manchester, Alena Vencovská, University of Manchester Cambridge Cambridge University Press 2015 1 online resource (x, 342 pages) txt rdacontent c rdamedia cr rdacarrier Perspectives in logic Title from publisher's bibliographic system (viewed on 05 Oct 2015) 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. 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 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) Induktive Logik (DE-588)4161594-3 gnd rswk-swf Induktive Logik (DE-588)4161594-3 s 1\p DE-604 Vencovská, Alena Sonstige oth Erscheint auch als Druckausgabe 978-1-107-04230-8 https://doi.org/10.1017/CBO9781107326194 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Paris, J. B. Pure inductive logic 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. 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 Induction (Logic) Induktive Logik (DE-588)4161594-3 gnd |
| subject_GND | (DE-588)4161594-3 |
| title | Pure inductive logic |
| title_auth | Pure inductive logic |
| title_exact_search | Pure inductive logic |
| title_full | Pure inductive logic Jeffrey Paris, University of Manchester, Alena Vencovská, University of Manchester |
| title_fullStr | Pure inductive logic Jeffrey Paris, University of Manchester, Alena Vencovská, University of Manchester |
| title_full_unstemmed | Pure inductive logic Jeffrey Paris, University of Manchester, Alena Vencovská, University of Manchester |
| title_short | Pure inductive logic |
| title_sort | pure inductive logic |
| topic | Induction (Logic) Induktive Logik (DE-588)4161594-3 gnd |
| topic_facet | Induction (Logic) Induktive Logik |
| url | https://doi.org/10.1017/CBO9781107326194 |
| work_keys_str_mv | AT parisjb pureinductivelogic AT vencovskaalena pureinductivelogic |