Shadows of syntax: revitalizing logical and mathematical conventionalism
"What is the source of logical and mathematical truth? This volume revitalizes conventionalism as an answer to this question. Conventionalism takes logical and mathematical truth to have their source in linguistic conventions. This was an extremely popular view in the early 20th century, but it...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Oxford University Press
[2020]
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| Schlagworte: | |
| Zusammenfassung: | "What is the source of logical and mathematical truth? This volume revitalizes conventionalism as an answer to this question. Conventionalism takes logical and mathematical truth to have their source in linguistic conventions. This was an extremely popular view in the early 20th century, but it was never worked out in detail and is now almost universally rejected in mainstream philosophical circles. In Shadows of Syntax, Jared Warren offers the first booklength treatment and defense of a combined conventionalist theory of logic and mathematics. He argues that our conventions, in the form of syntactic rules of language use, are perfectly suited to explain the truth, necessity, and a priority of logical and mathematical claims. In Part I, Warren explains exactly what conventionalism amounts to and what linguistic conventions are. Part II develops an unrestricted inferentialist theory of the meanings of logical constants that leads to logical conventionalism. This conventionalist theory is elaborated in discussions of logical pluralism, the epistemology of logic, and of the influential objections that led to the historical demise of conventionalism. Part III aims to extend conventionalism from logic to mathematics. Unlike logic, mathematics involves both ontological commitments and a rich notion of truth that cannot be generated by any algorithmic process. To address these issues Warren develops conventionalist-friendly but independently plausible theories of both metaontology and mathematical truth. Finally, Part IV steps back to address big picture worries and meta-worries about conventionalism. This book develops and defends a unified theory of logic and mathematics according to which logical and mathematical truths are reflections of our linguistic rules, mere shadows of syntax." |
| Beschreibung: | xx, 385 Seiten Illustrationen 24 cm |
| ISBN: | 9780190086152 |
Internformat
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| 520 | 3 | |a "What is the source of logical and mathematical truth? This volume revitalizes conventionalism as an answer to this question. Conventionalism takes logical and mathematical truth to have their source in linguistic conventions. This was an extremely popular view in the early 20th century, but it was never worked out in detail and is now almost universally rejected in mainstream philosophical circles. In Shadows of Syntax, Jared Warren offers the first booklength treatment and defense of a combined conventionalist theory of logic and mathematics. He argues that our conventions, in the form of syntactic rules of language use, are perfectly suited to explain the truth, necessity, and a priority of logical and mathematical claims. In Part I, Warren explains exactly what conventionalism amounts to and what linguistic conventions are. Part II develops an unrestricted inferentialist theory of the meanings of logical constants that leads to logical conventionalism. This conventionalist theory is elaborated in discussions of logical pluralism, the epistemology of logic, and of the influential objections that led to the historical demise of conventionalism. Part III aims to extend conventionalism from logic to mathematics. Unlike logic, mathematics involves both ontological commitments and a rich notion of truth that cannot be generated by any algorithmic process. To address these issues Warren develops conventionalist-friendly but independently plausible theories of both metaontology and mathematical truth. Finally, Part IV steps back to address big picture worries and meta-worries about conventionalism. This book develops and defends a unified theory of logic and mathematics according to which logical and mathematical truths are reflections of our linguistic rules, mere shadows of syntax." | |
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Datensatz im Suchindex
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| id | DE-604.BV046875158 |
| illustrated | Illustrated |
| index_date | 2024-07-03T15:15:58Z |
| indexdate | 2024-07-10T08:56:15Z |
| institution | BVB |
| isbn | 9780190086152 |
| language | English |
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| owner_facet | DE-12 |
| physical | xx, 385 Seiten Illustrationen 24 cm |
| publishDate | 2020 |
| publishDateSearch | 2020 |
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| spelling | Warren, Jared ca. 20./21. Jh. Verfasser (DE-588)1216737703 aut Shadows of syntax revitalizing logical and mathematical conventionalism Jared Warren New York, NY Oxford University Press [2020] © 2020 xx, 385 Seiten Illustrationen 24 cm txt rdacontent n rdamedia nc rdacarrier "What is the source of logical and mathematical truth? This volume revitalizes conventionalism as an answer to this question. Conventionalism takes logical and mathematical truth to have their source in linguistic conventions. This was an extremely popular view in the early 20th century, but it was never worked out in detail and is now almost universally rejected in mainstream philosophical circles. In Shadows of Syntax, Jared Warren offers the first booklength treatment and defense of a combined conventionalist theory of logic and mathematics. He argues that our conventions, in the form of syntactic rules of language use, are perfectly suited to explain the truth, necessity, and a priority of logical and mathematical claims. In Part I, Warren explains exactly what conventionalism amounts to and what linguistic conventions are. Part II develops an unrestricted inferentialist theory of the meanings of logical constants that leads to logical conventionalism. This conventionalist theory is elaborated in discussions of logical pluralism, the epistemology of logic, and of the influential objections that led to the historical demise of conventionalism. Part III aims to extend conventionalism from logic to mathematics. Unlike logic, mathematics involves both ontological commitments and a rich notion of truth that cannot be generated by any algorithmic process. To address these issues Warren develops conventionalist-friendly but independently plausible theories of both metaontology and mathematical truth. Finally, Part IV steps back to address big picture worries and meta-worries about conventionalism. This book develops and defends a unified theory of logic and mathematics according to which logical and mathematical truths are reflections of our linguistic rules, mere shadows of syntax." Mathematische Logik (DE-588)4037951-6 gnd rswk-swf Konventionalismus (DE-588)4032325-0 gnd rswk-swf Wahrheit (DE-588)4064314-1 gnd rswk-swf Convention (Philosophy) Logic Mathematics / Philosophy Pluralism Wahrheit (DE-588)4064314-1 s Mathematische Logik (DE-588)4037951-6 s Konventionalismus (DE-588)4032325-0 s DE-604 Erscheint auch als Online-Ausgabe 9780190086169 |
| spellingShingle | Warren, Jared ca. 20./21. Jh Shadows of syntax revitalizing logical and mathematical conventionalism Mathematische Logik (DE-588)4037951-6 gnd Konventionalismus (DE-588)4032325-0 gnd Wahrheit (DE-588)4064314-1 gnd |
| subject_GND | (DE-588)4037951-6 (DE-588)4032325-0 (DE-588)4064314-1 |
| title | Shadows of syntax revitalizing logical and mathematical conventionalism |
| title_auth | Shadows of syntax revitalizing logical and mathematical conventionalism |
| title_exact_search | Shadows of syntax revitalizing logical and mathematical conventionalism |
| title_exact_search_txtP | Shadows of syntax revitalizing logical and mathematical conventionalism |
| title_full | Shadows of syntax revitalizing logical and mathematical conventionalism Jared Warren |
| title_fullStr | Shadows of syntax revitalizing logical and mathematical conventionalism Jared Warren |
| title_full_unstemmed | Shadows of syntax revitalizing logical and mathematical conventionalism Jared Warren |
| title_short | Shadows of syntax |
| title_sort | shadows of syntax revitalizing logical and mathematical conventionalism |
| title_sub | revitalizing logical and mathematical conventionalism |
| topic | Mathematische Logik (DE-588)4037951-6 gnd Konventionalismus (DE-588)4032325-0 gnd Wahrheit (DE-588)4064314-1 gnd |
| topic_facet | Mathematische Logik Konventionalismus Wahrheit |
| work_keys_str_mv | AT warrenjared shadowsofsyntaxrevitalizinglogicalandmathematicalconventionalism |