Wittgenstein on mathematics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York ; London
Routledge, Taylor & Francis Group
2021
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| Series: | Wittgenstein's thought and legacy
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| Subjects: | |
| Links: | https://doi.org/10.4324/9781003056904 https://doi.org/10.4324/9781003056904 |
| Abstract: | "This book offers a detailed account and discussion of Ludwig Wittgenstein's philosophy of mathematics. In Part I, the stage is set with a brief presentation of Frege's logicist attempt to provide arithmetic with a foundation and Wittgenstein's criticisms of it, followed by sketches of Wittgenstein's early views of mathematics, in the Tractatus and in the early 1930s. Then (in Part II), Wittgenstein's mature philosophy of mathematics (1937-44) is carefully presented and examined. Schroeder explains that it is based on two key ideas: the calculus view and the grammar view. On the one hand, mathematics is seen as a human activity - calculation - rather than a theory. On the other hand, the results of mathematical calculations serve as grammatical norms. The following chapters (on mathematics as grammar; rule-following; conventionalism; the empirical basis of mathematics; the role of proof) explore the tension between those two key ideas and suggest a way in which it can be resolved. Finally, there are chapters analysing and defending Wittgenstein's provocative views on Hilbert's Formalism and the quest for consistency proofs and on Gödel's incompleteness theorems"-- |
| Physical Description: | 1 Online-Ressource Illustrationen |
| ISBN: | 9781003056904 |
| DOI: | 10.4324/9781003056904 |
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| author | Schroeder, Severin 1964- |
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| id | DE-604.BV048313079 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T19:41:38Z |
| institution | BVB |
| isbn | 9781003056904 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-033692591 |
| oclc_num | 1335398363 |
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| physical | 1 Online-Ressource Illustrationen |
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| publishDate | 2021 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | Routledge, Taylor & Francis Group |
| record_format | marc |
| series2 | Wittgenstein's thought and legacy |
| spelling | Schroeder, Severin 1964- Verfasser (DE-588)135897580 aut Wittgenstein on mathematics Severin Schroeder New York ; London Routledge, Taylor & Francis Group 2021 1 Online-Ressource Illustrationen txt rdacontent c rdamedia cr rdacarrier Wittgenstein's thought and legacy "This book offers a detailed account and discussion of Ludwig Wittgenstein's philosophy of mathematics. In Part I, the stage is set with a brief presentation of Frege's logicist attempt to provide arithmetic with a foundation and Wittgenstein's criticisms of it, followed by sketches of Wittgenstein's early views of mathematics, in the Tractatus and in the early 1930s. Then (in Part II), Wittgenstein's mature philosophy of mathematics (1937-44) is carefully presented and examined. Schroeder explains that it is based on two key ideas: the calculus view and the grammar view. On the one hand, mathematics is seen as a human activity - calculation - rather than a theory. On the other hand, the results of mathematical calculations serve as grammatical norms. The following chapters (on mathematics as grammar; rule-following; conventionalism; the empirical basis of mathematics; the role of proof) explore the tension between those two key ideas and suggest a way in which it can be resolved. Finally, there are chapters analysing and defending Wittgenstein's provocative views on Hilbert's Formalism and the quest for consistency proofs and on Gödel's incompleteness theorems"-- Wittgenstein, Ludwig 1889-1951 (DE-588)118634313 gnd rswk-swf Mathematische Logik (DE-588)4037951-6 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematics / Philosophy Wittgenstein, Ludwig 1889-1951 (DE-588)118634313 p Mathematik (DE-588)4037944-9 s Mathematische Logik (DE-588)4037951-6 s DE-604 Erscheint auch als Druck-Ausgabe, Hardcover 978-1-844-65862-6 https://doi.org/10.4324/9781003056904 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Schroeder, Severin 1964- Wittgenstein on mathematics Wittgenstein, Ludwig 1889-1951 (DE-588)118634313 gnd Mathematische Logik (DE-588)4037951-6 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)118634313 (DE-588)4037951-6 (DE-588)4037944-9 |
| title | Wittgenstein on mathematics |
| title_auth | Wittgenstein on mathematics |
| title_exact_search | Wittgenstein on mathematics |
| title_full | Wittgenstein on mathematics Severin Schroeder |
| title_fullStr | Wittgenstein on mathematics Severin Schroeder |
| title_full_unstemmed | Wittgenstein on mathematics Severin Schroeder |
| title_short | Wittgenstein on mathematics |
| title_sort | wittgenstein on mathematics |
| topic | Wittgenstein, Ludwig 1889-1951 (DE-588)118634313 gnd Mathematische Logik (DE-588)4037951-6 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Wittgenstein, Ludwig 1889-1951 Mathematische Logik Mathematik |
| url | https://doi.org/10.4324/9781003056904 |
| work_keys_str_mv | AT schroederseverin wittgensteinonmathematics |