Semantics and truth:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cham, Switzerland
Springer
[2019]
|
| Series: | Logic, epistemology, and the unity of science
Volume 45 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | xxiii, 375 Seiten Diagramme |
| ISBN: | 9783030245382 |
Staff View
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Record in the Search Index
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| adam_text | Contents 1 Truth in Ancient Philosophy...................................................................... 1.1 Archaic Greece.................................................................................... 1.2 Pre-Socratics ...................................................................................... 1.3 Plato..................................................................................................... 1.4 Aristotle................................................................................................. 1.5 Ancient Philosophy After Aristotle................................................. 1.6 Concluding Remarks............................................................................ References....................................................................................................... 1 1 10 16 22 27 31 31 2 Truth from Anselm of Canterbury to Kant.......................................... 2.1 Anselm of Canterbury.......................................................................... 2.2 Abelard................................................................................................ 2.3 Thomas Aquinas.................................................................................. 2.4 The History of the Adequatio Formula in the Middle Ages......... 2.5 From Renaissance to Kant................................................................. References....................................................................................................... 35 35 36 37 38 40 43 3 Truth in the 19th and 20th
Centuries...................................................... 3.1 Introduction......................................................................................... 3.2 German Philosophers on the Correspondence Formula................ 3.3 The Concept of Correspondence in British Philosophy About 1900: Bradley, Joachim, Russell, Moore........................... 3.4 Bolzano................................................................................................ 3.5 Brentano............................................................................................. 3.6 Frege..................................................................................................... 3.7 Polish Logicians and Philosophers on Truth................................... 3.7.1 Twardowski............................................................................. 3.7.2 The Kotarbiński-Leśniewski Debate in 1913..................... 3.7.3 Lukasiewicz ........................................................................... 3.7.4 Czeżowski............................................................................... 45 45 46 48 53 54 56 58 58 59 61 62 xxi
xxii Contents 3.7.5 Later Leśniewski..................................................................... 3.7.6 Later Kotarbiński..................................................................... 3.7.7 Ajdukíewicz............................................................................ 3.7.8 Summary................................................................................... 3.8 Some Truth-Definitions in the 20th and 21st Century................... References........................................................................................................ 62 63 63 64 65 69 4 Tasks of Truth-Theories.............................................................................. 4.1 Introduction.......................................................................................... 4.2 Truth-Bearers: GeneralRemarks...................................................... 4.3 Is Truth an Epistemological or Ontological Concept?................... 4.4 The Problem of Truth-Definability.................................................... 4.5 Truth-Definitions and Truth-Criteria.................................................. 4.6 How Many Truth-Values?.................................................................. 4.7 Is the Divisionof Truth-Bearers Stable?............................................ 4.8 Truth and Logic.................................................................................. References....................................................................................................... 73 73 74 82 83 85 88 91 92 103 5 Matters of
Logic............................................................................................ 5.1 Introduction......................................................................................... 5.2 Logical Calculi..................................................................................... 5.3 Selected Concepts and Theorems of Metalogic (Metamathematics).............................................................................. 5.4 How to Define Logic?......................................................................... 5.5 Are There Degrees of Logicality?.................................................... Appendix A: Historical Note About Metalogic and Metamathematics............................................................................................ References....................................................................................................... 107 107 110 Matters of Semantics .................................................................................. 6.1 Introduction......................................................................................... 6.2 Historical Remarks on Semantic Terminology............................... 6.3 Antinomies, Logical Types and Syntactic Categories ................... 6.4 General Historical Remarks on the Development of Semantics in the 20th Century...................................................... 6.5 The Triumph of Semantics: Carnap’s Case...................................... 6.6 Formal Languages and Formal Semantics........................................
References....................................................................................................... 161 161 164 166 Semantic Theory of Truth—Informal Aspects...................................... 7.1 Introduction......................................................................................... 7.2 STT, the ‘Formal’ and Its Opposites............................................... 7.3 The Liar................................................................................................ 7.4 The Liar and the Language/Metalanguage Distinction................... 7.5 Language, Metalanguage, Truth and Meaning .............................. 193 193 195 197 200 207 6 7 133 140 152 155 158 172 178 183 189
Contents xxiii 7.6 Heuristics and the Conditions of Adequacy with Respect to SDT.................................................................................................. 213 Appendix: Yabio Sequences and Self-Reference........................................ 219 References....................................................................................................... 220 8 Semantic Theory of Truth—Formal Aspects.......................................... 8.1 Introduction......................................................................................... 8.2 SDT as a Formal Construction ........................................................ 8.3 Truth and Arithmetic or Truth Arithmetized................................... 8.3.1 Arithmetic............................................................................... 8.3.2 ω-Concepts............................................................................. 8.4 Limitative Theorems........................................................................... 8.5 The Undefinability of Truth............................................................... 8.6 Models of AR and Truth.................................................................... 8.7 Models Constructed on Terms.......................................................... 8.8 Historical Appendix: Gödel and Tarski on Limitative Theorems and Truth........................................................................... 8.8.1 Chronology (up to 1939; See also DG1VII)..................... 8.8.2 A Selection of Quotations from
Gödel.............................. 8.8.3 Tarski’s Historical Explanations.......................................... 8.8.4 Comments............................................................................... References....................................................................................................... 223 223 224 234 234 236 238 241 246 250 Interpretations, Comparisons and PhilosophicalIssues......................... 9.1 Introduction......................................................................................... 9.2 Is STT a Correspondence Theory?................................................... 9.3 The Status of Т-Equi valences.......................................................... 9.4 Truth and Meaning............................................................................. 9.5 Is SDT Absolute or Relative?.......................................................... 9.6 STT and Science ............................................................................... 9.7 STT and Minimalism........................................................................ 9.8 STT and Coherentism........................................................................ 9.9 STT and Realism............................................................................... 9.10 Two Application of STT to Analysis of Knowledge..................... 9.11 Conclusion...........................................................................................
References....................................................................................................... 271 271 273 285 293 298 306 309 313 315 320 323 325 Conclusion............................................................................................................ 331 INTEGRATED BIBLIOGRAPHY................................................................ 335 Author Index........................................................................................................ 357 Subject Index. 365 9 255 255 257 260 261 266
Logic, Epistemology, and the Unity of Science 45 Jan Wolenski Semantics and Truth The book provides a historical (with an otitiine ot the historv oi tlie concept of truth trom antiquity to our time) and systematic exposition of the semantic theory of truth tormulated by Allred Jarski in the 1930s. This theory became famous very soon and inspired logicians and philosophers. It has two dit ferent, but interconnected aspects: formal-logical and philosophical. The book deals with both, but it is intended mostlv as a philosophical monograph. It explains Tarski’s motivation and presents discussions about his ideas (pro and contra) as well as points out various applications ofthe semantic theory of truth to philosophical problems (truth-criteria, realism and anti-realism, future contingents or the concept of correspondence between language and realit}՛).
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| adam_txt |
Contents 1 Truth in Ancient Philosophy. 1.1 Archaic Greece. 1.2 Pre-Socratics . 1.3 Plato. 1.4 Aristotle. 1.5 Ancient Philosophy After Aristotle. 1.6 Concluding Remarks. References. 1 1 10 16 22 27 31 31 2 Truth from Anselm of Canterbury to Kant. 2.1 Anselm of Canterbury. 2.2 Abelard. 2.3 Thomas Aquinas. 2.4 The History of the Adequatio Formula in the Middle Ages. 2.5 From Renaissance to Kant. References. 35 35 36 37 38 40 43 3 Truth in the 19th and 20th
Centuries. 3.1 Introduction. 3.2 German Philosophers on the Correspondence Formula. 3.3 The Concept of Correspondence in British Philosophy About 1900: Bradley, Joachim, Russell, Moore. 3.4 Bolzano. 3.5 Brentano. 3.6 Frege. 3.7 Polish Logicians and Philosophers on Truth. 3.7.1 Twardowski. 3.7.2 The Kotarbiński-Leśniewski Debate in 1913. 3.7.3 Lukasiewicz . 3.7.4 Czeżowski. 45 45 46 48 53 54 56 58 58 59 61 62 xxi
xxii Contents 3.7.5 Later Leśniewski. 3.7.6 Later Kotarbiński. 3.7.7 Ajdukíewicz. 3.7.8 Summary. 3.8 Some Truth-Definitions in the 20th and 21st Century. References. 62 63 63 64 65 69 4 Tasks of Truth-Theories. 4.1 Introduction. 4.2 Truth-Bearers: GeneralRemarks. 4.3 Is Truth an Epistemological or Ontological Concept?. 4.4 The Problem of Truth-Definability. 4.5 Truth-Definitions and Truth-Criteria. 4.6 How Many Truth-Values?. 4.7 Is the Divisionof Truth-Bearers Stable?. 4.8 Truth and Logic. References. 73 73 74 82 83 85 88 91 92 103 5 Matters of
Logic. 5.1 Introduction. 5.2 Logical Calculi. 5.3 Selected Concepts and Theorems of Metalogic (Metamathematics). 5.4 How to Define Logic?. 5.5 Are There Degrees of Logicality?. Appendix A: Historical Note About Metalogic and Metamathematics. References. 107 107 110 Matters of Semantics . 6.1 Introduction. 6.2 Historical Remarks on Semantic Terminology. 6.3 Antinomies, Logical Types and Syntactic Categories . 6.4 General Historical Remarks on the Development of Semantics in the 20th Century. 6.5 The Triumph of Semantics: Carnap’s Case. 6.6 Formal Languages and Formal Semantics.
References. 161 161 164 166 Semantic Theory of Truth—Informal Aspects. 7.1 Introduction. 7.2 STT, the ‘Formal’ and Its Opposites. 7.3 The Liar. 7.4 The Liar and the Language/Metalanguage Distinction. 7.5 Language, Metalanguage, Truth and Meaning . 193 193 195 197 200 207 6 7 133 140 152 155 158 172 178 183 189
Contents xxiii 7.6 Heuristics and the Conditions of Adequacy with Respect to SDT. 213 Appendix: Yabio Sequences and Self-Reference. 219 References. 220 8 Semantic Theory of Truth—Formal Aspects. 8.1 Introduction. 8.2 SDT as a Formal Construction . 8.3 Truth and Arithmetic or Truth Arithmetized. 8.3.1 Arithmetic. 8.3.2 ω-Concepts. 8.4 Limitative Theorems. 8.5 The Undefinability of Truth. 8.6 Models of AR and Truth. 8.7 Models Constructed on Terms. 8.8 Historical Appendix: Gödel and Tarski on Limitative Theorems and Truth. 8.8.1 Chronology (up to 1939; See also DG1VII). 8.8.2 A Selection of Quotations from
Gödel. 8.8.3 Tarski’s Historical Explanations. 8.8.4 Comments. References. 223 223 224 234 234 236 238 241 246 250 Interpretations, Comparisons and PhilosophicalIssues. 9.1 Introduction. 9.2 Is STT a Correspondence Theory?. 9.3 The Status of Т-Equi valences. 9.4 Truth and Meaning. 9.5 Is SDT Absolute or Relative?. 9.6 STT and Science . 9.7 STT and Minimalism. 9.8 STT and Coherentism. 9.9 STT and Realism. 9.10 Two Application of STT to Analysis of Knowledge. 9.11 Conclusion.
References. 271 271 273 285 293 298 306 309 313 315 320 323 325 Conclusion. 331 INTEGRATED BIBLIOGRAPHY. 335 Author Index. 357 Subject Index. 365 9 255 255 257 260 261 266
Logic, Epistemology, and the Unity of Science 45 Jan Wolenski Semantics and Truth The book provides a historical (with an otitiine ot the historv oi tlie concept of truth trom antiquity to our time) and systematic exposition of the semantic theory of truth tormulated by Allred Jarski in the 1930s. This theory became famous very soon and inspired logicians and philosophers. It has two dit ferent, but interconnected aspects: formal-logical and philosophical. The book deals with both, but it is intended mostlv as a philosophical monograph. It explains Tarski’s motivation and presents discussions about his ideas (pro and contra) as well as points out various applications ofthe semantic theory of truth to philosophical problems (truth-criteria, realism and anti-realism, future contingents or the concept of correspondence between language and realit}՛). |
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| spelling | Woleński, Jan 1940- Verfasser (DE-588)128961929 aut Semantics and truth Jan Woleński Cham, Switzerland Springer [2019] © 2019 xxiii, 375 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Logic, epistemology, and the unity of science Volume 45 Logic Semantics Mathematical Logic and Foundations Mathematical logic Erscheint auch als Online-Ausgabe 10.1007/978-3-030-24536-8 978-3-030-24536-8 Logic, epistemology, and the unity of science Volume 45 (DE-604)BV019709027 45 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032636676&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032636676&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Woleński, Jan 1940- Semantics and truth Logic, epistemology, and the unity of science Logic Semantics Mathematical Logic and Foundations Mathematical logic |
| title | Semantics and truth |
| title_auth | Semantics and truth |
| title_exact_search | Semantics and truth |
| title_exact_search_txtP | Semantics and truth |
| title_full | Semantics and truth Jan Woleński |
| title_fullStr | Semantics and truth Jan Woleński |
| title_full_unstemmed | Semantics and truth Jan Woleński |
| title_short | Semantics and truth |
| title_sort | semantics and truth |
| topic | Logic Semantics Mathematical Logic and Foundations Mathematical logic |
| topic_facet | Logic Semantics Mathematical Logic and Foundations Mathematical logic |
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