Logicism and its philosophical legacy:
The idea that mathematics is reducible to logic has a long history, but it was Frege who gave logicism an articulation and defense that transformed it into a distinctive philosophical thesis with a profound influence on the development of philosophy in the twentieth century. This volume of classic,...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Cambridge
Cambridge University Press
2013
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| Online-Zugang: | BSB01 FHN01 UBG01 Volltext |
| Zusammenfassung: | The idea that mathematics is reducible to logic has a long history, but it was Frege who gave logicism an articulation and defense that transformed it into a distinctive philosophical thesis with a profound influence on the development of philosophy in the twentieth century. This volume of classic, revised and newly written essays by William Demopoulos examines logicism's principal legacy for philosophy: its elaboration of notions of analysis and reconstruction. The essays reflect on the deployment of these ideas by the principal figures in the history of the subject - Frege, Russell, Ramsey and Carnap - and in doing so illuminate current concerns about the nature of mathematical and theoretical knowledge. Issues addressed include the nature of arithmetical knowledge in the light of Frege's theorem; the status of realism about the theoretical entities of physics; and the proper interpretation of empirical theories that postulate abstract structural constraints |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xii, 272 pages) |
| ISBN: | 9781139342605 |
| DOI: | 10.1017/CBO9781139342605 |
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Datensatz im Suchindex
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| author | Demopoulos, William |
| author_facet | Demopoulos, William |
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| contents | Frege's analysis of arithmetical knowledge -- Carnap's thesis -- On extending 'empiricism, semantics and ontology' to the realism-instrumentalism controversy -- Carnap's analysis of realism -- Bertrand Russell's The analysis of matter: its historical context and contemporary interest (with Michael Friedman) -- On the rational reconstruction of our theoretical knowledge -- Three views of theoretical knowledge -- Frege and the rigorization of analysis -- The philosophical basis of our knowledge of number -- The 1910 Principia's theory of functions and classes -- Ramsey's extensional propositional functions |
| ctrlnum | (ZDB-20-CBO)CR9781139342605 (OCoLC)847033325 (DE-599)BVBBV043923586 |
| dewey-full | 511.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3 |
| dewey-search | 511.3 |
| dewey-sort | 3511.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Philosophie |
| doi_str_mv | 10.1017/CBO9781139342605 |
| format | Electronic eBook |
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| id | DE-604.BV043923586 |
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| indexdate | 2024-07-10T07:38:42Z |
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| isbn | 9781139342605 |
| language | English |
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| spelling | Demopoulos, William Verfasser aut Logicism and its philosophical legacy William Demopoulos Logicism & its Philosophical Legacy Cambridge Cambridge University Press 2013 1 online resource (xii, 272 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) Frege's analysis of arithmetical knowledge -- Carnap's thesis -- On extending 'empiricism, semantics and ontology' to the realism-instrumentalism controversy -- Carnap's analysis of realism -- Bertrand Russell's The analysis of matter: its historical context and contemporary interest (with Michael Friedman) -- On the rational reconstruction of our theoretical knowledge -- Three views of theoretical knowledge -- Frege and the rigorization of analysis -- The philosophical basis of our knowledge of number -- The 1910 Principia's theory of functions and classes -- Ramsey's extensional propositional functions The idea that mathematics is reducible to logic has a long history, but it was Frege who gave logicism an articulation and defense that transformed it into a distinctive philosophical thesis with a profound influence on the development of philosophy in the twentieth century. This volume of classic, revised and newly written essays by William Demopoulos examines logicism's principal legacy for philosophy: its elaboration of notions of analysis and reconstruction. The essays reflect on the deployment of these ideas by the principal figures in the history of the subject - Frege, Russell, Ramsey and Carnap - and in doing so illuminate current concerns about the nature of mathematical and theoretical knowledge. Issues addressed include the nature of arithmetical knowledge in the light of Frege's theorem; the status of realism about the theoretical entities of physics; and the proper interpretation of empirical theories that postulate abstract structural constraints Mathematik Philosophie Logic, Symbolic and mathematical Mathematics / Philosophy Mathematik (DE-588)4037944-9 gnd rswk-swf Philosophie (DE-588)4045791-6 gnd rswk-swf Mathematische Logik (DE-588)4037951-6 gnd rswk-swf Mathematik (DE-588)4037944-9 s Philosophie (DE-588)4045791-6 s 1\p DE-604 Mathematische Logik (DE-588)4037951-6 s 2\p DE-604 Erscheint auch als Druckausgabe 978-1-107-02980-4 Erscheint auch als Druckausgabe 978-1-107-50258-1 https://doi.org/10.1017/CBO9781139342605 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Demopoulos, William Logicism and its philosophical legacy Frege's analysis of arithmetical knowledge -- Carnap's thesis -- On extending 'empiricism, semantics and ontology' to the realism-instrumentalism controversy -- Carnap's analysis of realism -- Bertrand Russell's The analysis of matter: its historical context and contemporary interest (with Michael Friedman) -- On the rational reconstruction of our theoretical knowledge -- Three views of theoretical knowledge -- Frege and the rigorization of analysis -- The philosophical basis of our knowledge of number -- The 1910 Principia's theory of functions and classes -- Ramsey's extensional propositional functions Mathematik Philosophie Logic, Symbolic and mathematical Mathematics / Philosophy Mathematik (DE-588)4037944-9 gnd Philosophie (DE-588)4045791-6 gnd Mathematische Logik (DE-588)4037951-6 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4045791-6 (DE-588)4037951-6 |
| title | Logicism and its philosophical legacy |
| title_alt | Logicism & its Philosophical Legacy |
| title_auth | Logicism and its philosophical legacy |
| title_exact_search | Logicism and its philosophical legacy |
| title_full | Logicism and its philosophical legacy William Demopoulos |
| title_fullStr | Logicism and its philosophical legacy William Demopoulos |
| title_full_unstemmed | Logicism and its philosophical legacy William Demopoulos |
| title_short | Logicism and its philosophical legacy |
| title_sort | logicism and its philosophical legacy |
| topic | Mathematik Philosophie Logic, Symbolic and mathematical Mathematics / Philosophy Mathematik (DE-588)4037944-9 gnd Philosophie (DE-588)4045791-6 gnd Mathematische Logik (DE-588)4037951-6 gnd |
| topic_facet | Mathematik Philosophie Logic, Symbolic and mathematical Mathematics / Philosophy Mathematische Logik |
| url | https://doi.org/10.1017/CBO9781139342605 |
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