Essay on the Principles of Logic : : A Defense of Logical Monism / / Michael Wolff.
Wolff's book defends the Kantian idea of a "general logic" whose principles underlie special systems of deductive logic. It thus undermines "logical pluralism," which tolerates the co-existence of divergent systems of modern logic without asking for consistent common princip...
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Wolff, Michael, author. aut http://id.loc.gov/vocabulary/relators/aut Essay on the Principles of Logic : A Defense of Logical Monism / Michael Wolff. Berlin ; Boston : De Gruyter, [2023] ©2023 1 online resource (XXI, 396 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Frontmatter -- Preface to the English Edition -- Contents -- Introduction -- I Analytical Part: Analysis of Logical Languages -- Section One The Language of the Syllogistic -- Section Two The Language of the Calculus of Classes -- Section Three The Language of the Logical Calculus of Functions -- II Synthetic Part: Construction of the Logical Calculus of Functions from the Elements of the Syllogistic -- § 41 General Preliminary Remark -- Section One Rules for Deriving Rules -- Section Two Hypothetical and Disjunctive Syllogistic -- Section Three Categorical Syllogistic -- Section Four Modal Syllogistic -- Section Five Contentful Syllogistic Inference -- Section Six Derivation of Formulas within the Framework of a System Extended Beyond the Limits of Elementary Deductive Logic -- Section Seven Provability and Derivability within the Logical Calculus of Functions -- Conclusion -- Appendix 1 On the Completeness of a Syllogistic without Logical Conjunction -- Appendix 2 Mathematical Induction without Higher-Level Predicate Logic -- Appendix 3 Reduction of Truth-Functional Expressions to Non-Truth-Functional Expressions -- Appendix 4 Compatibility and Incompatibility -- Appendix 5 Modern Non-Syllogistic Systems of Modal Logic in Their Relationship to Modal Syllogistic -- Appendix 6 Non-Classical Systems of Logic in Their Relationship to the Logical Calculus of Functions -- Appendix 7 The Barcan Formula -- Appendix 8 On Bivalence -- Appendix 9 Absolute Logical Constants -- Index of Symbols Used -- Outline of the Rules Used Mainly in the Proofs of Part II -- Index of Metalogical Rules Used in the Proofs of Part II -- Index of Syllogistic Rules Used Directly in the Validity Proofs of Assertoric Syllogisms (in § 56) -- Index of Modal-Syllogistic Rules Used Directly in the Validity Proofs of Modal Syllogisms (in § 63) -- Index of Logical Rules Used Directly for the Derivation of Truth-Functional Rules and Laws (in § 74 and § 75) -- Bibliography -- Subject Index -- Name Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star Wolff's book defends the Kantian idea of a "general logic" whose principles underlie special systems of deductive logic. It thus undermines "logical pluralism," which tolerates the co-existence of divergent systems of modern logic without asking for consistent common principles. Part I of Wolff’s book identifies the formal language in which the most general principles of logic must be expressed. This language turns out to be a version of syllogistic language already used by Aristotle. The universal validity of logical principles, as well as the translatability of other logical languages into this language, are shown to depend only on the meanings of its logical vocabulary. Part II of the book answers the metalogical question concerning the deductive relation between general logic and special logical systems, which also have their own (less general) principles. This part identifies the rules according to which logical rules can be derived from principles. The main result of the book is that the highest principles of logic and metalogics are provided by the syllogistic, when properly understood. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 06. Mrz 2024) Logic Philosophy. Bivalenzprinzip. Parakonsistenz. Quadrat der Gegensätze. existential import. PHILOSOPHY / Logic. bisacsh bivalence principle. paraconsistency. square of oppositions. Wolf, W. Clark, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1 9783111175782 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023 English 9783111319292 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023 9783111318912 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Philosophy 2023 English 9783111319223 Title is part of eBook package: De Gruyter EBOOK PACKAGE Philosophy 2023 9783111318646 ZDB-23-DPH EPUB 9783110785104 print 9783110784862 https://doi.org/10.1515/9783110784930 https://www.degruyter.com/isbn/9783110784930 Cover https://www.degruyter.com/document/cover/isbn/9783110784930/original |
language |
English |
format |
eBook |
author |
Wolff, Michael, Wolff, Michael, |
spellingShingle |
Wolff, Michael, Wolff, Michael, Essay on the Principles of Logic : A Defense of Logical Monism / Frontmatter -- Preface to the English Edition -- Contents -- Introduction -- I Analytical Part: Analysis of Logical Languages -- Section One The Language of the Syllogistic -- Section Two The Language of the Calculus of Classes -- Section Three The Language of the Logical Calculus of Functions -- II Synthetic Part: Construction of the Logical Calculus of Functions from the Elements of the Syllogistic -- § 41 General Preliminary Remark -- Section One Rules for Deriving Rules -- Section Two Hypothetical and Disjunctive Syllogistic -- Section Three Categorical Syllogistic -- Section Four Modal Syllogistic -- Section Five Contentful Syllogistic Inference -- Section Six Derivation of Formulas within the Framework of a System Extended Beyond the Limits of Elementary Deductive Logic -- Section Seven Provability and Derivability within the Logical Calculus of Functions -- Conclusion -- Appendix 1 On the Completeness of a Syllogistic without Logical Conjunction -- Appendix 2 Mathematical Induction without Higher-Level Predicate Logic -- Appendix 3 Reduction of Truth-Functional Expressions to Non-Truth-Functional Expressions -- Appendix 4 Compatibility and Incompatibility -- Appendix 5 Modern Non-Syllogistic Systems of Modal Logic in Their Relationship to Modal Syllogistic -- Appendix 6 Non-Classical Systems of Logic in Their Relationship to the Logical Calculus of Functions -- Appendix 7 The Barcan Formula -- Appendix 8 On Bivalence -- Appendix 9 Absolute Logical Constants -- Index of Symbols Used -- Outline of the Rules Used Mainly in the Proofs of Part II -- Index of Metalogical Rules Used in the Proofs of Part II -- Index of Syllogistic Rules Used Directly in the Validity Proofs of Assertoric Syllogisms (in § 56) -- Index of Modal-Syllogistic Rules Used Directly in the Validity Proofs of Modal Syllogisms (in § 63) -- Index of Logical Rules Used Directly for the Derivation of Truth-Functional Rules and Laws (in § 74 and § 75) -- Bibliography -- Subject Index -- Name Index |
author_facet |
Wolff, Michael, Wolff, Michael, Wolf, W. Clark, Wolf, W. Clark, |
author_variant |
m w mw m w mw |
author_role |
VerfasserIn VerfasserIn |
author2 |
Wolf, W. Clark, Wolf, W. Clark, |
author2_variant |
w c w wc wcw w c w wc wcw |
author2_role |
MitwirkendeR MitwirkendeR |
author_sort |
Wolff, Michael, |
title |
Essay on the Principles of Logic : A Defense of Logical Monism / |
title_sub |
A Defense of Logical Monism / |
title_full |
Essay on the Principles of Logic : A Defense of Logical Monism / Michael Wolff. |
title_fullStr |
Essay on the Principles of Logic : A Defense of Logical Monism / Michael Wolff. |
title_full_unstemmed |
Essay on the Principles of Logic : A Defense of Logical Monism / Michael Wolff. |
title_auth |
Essay on the Principles of Logic : A Defense of Logical Monism / |
title_alt |
Frontmatter -- Preface to the English Edition -- Contents -- Introduction -- I Analytical Part: Analysis of Logical Languages -- Section One The Language of the Syllogistic -- Section Two The Language of the Calculus of Classes -- Section Three The Language of the Logical Calculus of Functions -- II Synthetic Part: Construction of the Logical Calculus of Functions from the Elements of the Syllogistic -- § 41 General Preliminary Remark -- Section One Rules for Deriving Rules -- Section Two Hypothetical and Disjunctive Syllogistic -- Section Three Categorical Syllogistic -- Section Four Modal Syllogistic -- Section Five Contentful Syllogistic Inference -- Section Six Derivation of Formulas within the Framework of a System Extended Beyond the Limits of Elementary Deductive Logic -- Section Seven Provability and Derivability within the Logical Calculus of Functions -- Conclusion -- Appendix 1 On the Completeness of a Syllogistic without Logical Conjunction -- Appendix 2 Mathematical Induction without Higher-Level Predicate Logic -- Appendix 3 Reduction of Truth-Functional Expressions to Non-Truth-Functional Expressions -- Appendix 4 Compatibility and Incompatibility -- Appendix 5 Modern Non-Syllogistic Systems of Modal Logic in Their Relationship to Modal Syllogistic -- Appendix 6 Non-Classical Systems of Logic in Their Relationship to the Logical Calculus of Functions -- Appendix 7 The Barcan Formula -- Appendix 8 On Bivalence -- Appendix 9 Absolute Logical Constants -- Index of Symbols Used -- Outline of the Rules Used Mainly in the Proofs of Part II -- Index of Metalogical Rules Used in the Proofs of Part II -- Index of Syllogistic Rules Used Directly in the Validity Proofs of Assertoric Syllogisms (in § 56) -- Index of Modal-Syllogistic Rules Used Directly in the Validity Proofs of Modal Syllogisms (in § 63) -- Index of Logical Rules Used Directly for the Derivation of Truth-Functional Rules and Laws (in § 74 and § 75) -- Bibliography -- Subject Index -- Name Index |
title_new |
Essay on the Principles of Logic : |
title_sort |
essay on the principles of logic : a defense of logical monism / |
publisher |
De Gruyter, |
publishDate |
2023 |
physical |
1 online resource (XXI, 396 p.) Issued also in print. |
contents |
Frontmatter -- Preface to the English Edition -- Contents -- Introduction -- I Analytical Part: Analysis of Logical Languages -- Section One The Language of the Syllogistic -- Section Two The Language of the Calculus of Classes -- Section Three The Language of the Logical Calculus of Functions -- II Synthetic Part: Construction of the Logical Calculus of Functions from the Elements of the Syllogistic -- § 41 General Preliminary Remark -- Section One Rules for Deriving Rules -- Section Two Hypothetical and Disjunctive Syllogistic -- Section Three Categorical Syllogistic -- Section Four Modal Syllogistic -- Section Five Contentful Syllogistic Inference -- Section Six Derivation of Formulas within the Framework of a System Extended Beyond the Limits of Elementary Deductive Logic -- Section Seven Provability and Derivability within the Logical Calculus of Functions -- Conclusion -- Appendix 1 On the Completeness of a Syllogistic without Logical Conjunction -- Appendix 2 Mathematical Induction without Higher-Level Predicate Logic -- Appendix 3 Reduction of Truth-Functional Expressions to Non-Truth-Functional Expressions -- Appendix 4 Compatibility and Incompatibility -- Appendix 5 Modern Non-Syllogistic Systems of Modal Logic in Their Relationship to Modal Syllogistic -- Appendix 6 Non-Classical Systems of Logic in Their Relationship to the Logical Calculus of Functions -- Appendix 7 The Barcan Formula -- Appendix 8 On Bivalence -- Appendix 9 Absolute Logical Constants -- Index of Symbols Used -- Outline of the Rules Used Mainly in the Proofs of Part II -- Index of Metalogical Rules Used in the Proofs of Part II -- Index of Syllogistic Rules Used Directly in the Validity Proofs of Assertoric Syllogisms (in § 56) -- Index of Modal-Syllogistic Rules Used Directly in the Validity Proofs of Modal Syllogisms (in § 63) -- Index of Logical Rules Used Directly for the Derivation of Truth-Functional Rules and Laws (in § 74 and § 75) -- Bibliography -- Subject Index -- Name Index |
isbn |
9783110784930 9783111175782 9783111319292 9783111318912 9783111319223 9783111318646 9783110785104 9783110784862 |
url |
https://doi.org/10.1515/9783110784930 https://www.degruyter.com/isbn/9783110784930 https://www.degruyter.com/document/cover/isbn/9783110784930/original |
illustrated |
Not Illustrated |
dewey-hundreds |
100 - Philosophy & psychology |
dewey-tens |
100 - Philosophy |
dewey-ones |
100 - Philosophy & psychology |
dewey-full |
100 |
dewey-sort |
3100 |
dewey-raw |
100 |
dewey-search |
100 |
doi_str_mv |
10.1515/9783110784930 |
oclc_num |
1378937906 |
work_keys_str_mv |
AT wolffmichael essayontheprinciplesoflogicadefenseoflogicalmonism AT wolfwclark essayontheprinciplesoflogicadefenseoflogicalmonism |
status_str |
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ids_txt_mv |
(DE-B1597)617819 (OCoLC)1378937906 |
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Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023 Title is part of eBook package: De Gruyter EBOOK PACKAGE Philosophy 2023 English Title is part of eBook package: De Gruyter EBOOK PACKAGE Philosophy 2023 |
is_hierarchy_title |
Essay on the Principles of Logic : A Defense of Logical Monism / |
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Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1 |
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code="t">Appendix 5 Modern Non-Syllogistic Systems of Modal Logic in Their Relationship to Modal Syllogistic -- </subfield><subfield code="t">Appendix 6 Non-Classical Systems of Logic in Their Relationship to the Logical Calculus of Functions -- </subfield><subfield code="t">Appendix 7 The Barcan Formula -- </subfield><subfield code="t">Appendix 8 On Bivalence -- </subfield><subfield code="t">Appendix 9 Absolute Logical Constants -- </subfield><subfield code="t">Index of Symbols Used -- </subfield><subfield code="t">Outline of the Rules Used Mainly in the Proofs of Part II -- </subfield><subfield code="t">Index of Metalogical Rules Used in the Proofs of Part II -- </subfield><subfield code="t">Index of Syllogistic Rules Used Directly in the Validity Proofs of Assertoric Syllogisms (in § 56) -- </subfield><subfield code="t">Index of Modal-Syllogistic Rules Used Directly in the Validity Proofs of Modal Syllogisms (in § 63) -- </subfield><subfield code="t">Index of Logical Rules Used Directly for the Derivation of Truth-Functional Rules and Laws (in § 74 and § 75) -- </subfield><subfield code="t">Bibliography -- </subfield><subfield code="t">Subject Index -- </subfield><subfield code="t">Name Index</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="a">restricted access</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Wolff's book defends the Kantian idea of a "general logic" whose principles underlie special systems of deductive logic. 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