The Many and the One
Plural logic has become a well-established subject, especially in philosophical logic. This book explores its broader significance for philosophy, logic, and linguistics. What can plural logic do for us? Are the bold claims made on its behalf correct? After introducing plural logic and its main appl...
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| Glavni autori: | , |
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| Format: | Online |
| Jezik: | engleski |
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Oxford University Press
2021
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| Teme: | |
| Online pristup: | OCN: 1269091101 |
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| _version_ | 1869521043065929728 |
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| author | Florio, Salvatore Linnebo, Øystein |
| author_browse | Florio, Salvatore Linnebo, Øystein |
| author_facet | Florio, Salvatore Linnebo, Øystein |
| author_sort | Florio, Salvatore |
| collection | Directory of Open Access Books |
| description | Plural logic has become a well-established subject, especially in philosophical logic. This book explores its broader significance for philosophy, logic, and linguistics. What can plural logic do for us? Are the bold claims made on its behalf correct? After introducing plural logic and its main applications, the book provides a systematic analysis of the relation between this logic and other theoretical frameworks such as set theory, mereology, higher-order logic, and modal logic. The applications of plural logic rely on two assumptions, namely that this logic is ontologically innocent and has great expressive power. These assumptions are shown to be problematic. The result is a more nuanced picture of plural logic’s applications than has been given so far. Questions about the correct logic of plurals play a central role in the last part of the book, where traditional plural logic is rejected in favor of a “critical” alternative. The most striking feature of this alternative is that there is no universal plurality. This leads to a novel approach to the relation between the many and the one. In particular, critical plural logic paves the way for an account of sets capable of solving the set-theoretic paradoxes. |
| format | Online |
| id | doab-20.500.12854ir-72067 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | Oxford University Press |
| publisherStr | Oxford University Press |
| record_format | ojs |
| spelling | doab-20.500.12854ir-720672025-08-13T14:11:08Z The Many and the One Florio, Salvatore Linnebo, Øystein plurals, plural logic, set theory, mereology, higher-order logic, absolute generality, modality, singularism thema EDItEUR::C Language and Linguistics::CF Linguistics::CFA Philosophy of language thema EDItEUR::Q Philosophy and Religion::QD Philosophy::QDT Topics in philosophy::QDTL Philosophy: logic thema EDItEUR::C Language and Linguistics::CF Linguistics::CFA Philosophy of language thema EDItEUR::Q Philosophy and Religion::QD Philosophy::QDT Topics in philosophy::QDTL Philosophy: logic Plural logic has become a well-established subject, especially in philosophical logic. This book explores its broader significance for philosophy, logic, and linguistics. What can plural logic do for us? Are the bold claims made on its behalf correct? After introducing plural logic and its main applications, the book provides a systematic analysis of the relation between this logic and other theoretical frameworks such as set theory, mereology, higher-order logic, and modal logic. The applications of plural logic rely on two assumptions, namely that this logic is ontologically innocent and has great expressive power. These assumptions are shown to be problematic. The result is a more nuanced picture of plural logic’s applications than has been given so far. Questions about the correct logic of plurals play a central role in the last part of the book, where traditional plural logic is rejected in favor of a “critical” alternative. The most striking feature of this alternative is that there is no universal plurality. This leads to a novel approach to the relation between the many and the one. In particular, critical plural logic paves the way for an account of sets capable of solving the set-theoretic paradoxes. 2021-10-06T04:02:55Z 2021-10-06T04:02:55Z 2021-10-05T12:58:52Z 2021 book OCN: 1269091101 https://library.oapen.org/handle/20.500.12657/50697 9780198791522 https://directory.doabooks.org/handle/20.500.12854/72067 eng open access image/jpeg image/jpeg image/jpeg image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International Attribution-NonCommercial-NoDerivatives 4.0 International Attribution-NonCommercial-NoDerivatives 4.0 International Attribution-NonCommercial-NoDerivatives 4.0 International https://library.oapen.org/bitstream/20.500.12657/50697/1/9780198791522.pdf https://library.oapen.org/bitstream/20.500.12657/50697/1/9780198791522.pdf https://library.oapen.org/bitstream/20.500.12657/50697/1/9780198791522.pdf https://library.oapen.org/bitstream/20.500.12657/50697/1/9780198791522.pdf Oxford University Press 10.1093/oso/9780198791522.001.0001 10.1093/oso/9780198791522.001.0001 db4e319f-ca9f-449a-bcf2-37d7c6f885b1 University of Oslo c273ec27-d2be-4f1d-8917-141b286f1657 9780198791522 336 Oxford open access |
| spellingShingle | plurals, plural logic, set theory, mereology, higher-order logic, absolute generality, modality, singularism thema EDItEUR::C Language and Linguistics::CF Linguistics::CFA Philosophy of language thema EDItEUR::Q Philosophy and Religion::QD Philosophy::QDT Topics in philosophy::QDTL Philosophy: logic thema EDItEUR::C Language and Linguistics::CF Linguistics::CFA Philosophy of language thema EDItEUR::Q Philosophy and Religion::QD Philosophy::QDT Topics in philosophy::QDTL Philosophy: logic Florio, Salvatore Linnebo, Øystein The Many and the One |
| title | The Many and the One |
| title_full | The Many and the One |
| title_fullStr | The Many and the One |
| title_full_unstemmed | The Many and the One |
| title_short | The Many and the One |
| title_sort | many and the one |
| topic | plurals, plural logic, set theory, mereology, higher-order logic, absolute generality, modality, singularism thema EDItEUR::C Language and Linguistics::CF Linguistics::CFA Philosophy of language thema EDItEUR::Q Philosophy and Religion::QD Philosophy::QDT Topics in philosophy::QDTL Philosophy: logic thema EDItEUR::C Language and Linguistics::CF Linguistics::CFA Philosophy of language thema EDItEUR::Q Philosophy and Religion::QD Philosophy::QDT Topics in philosophy::QDTL Philosophy: logic |
| topic_facet | plurals, plural logic, set theory, mereology, higher-order logic, absolute generality, modality, singularism thema EDItEUR::C Language and Linguistics::CF Linguistics::CFA Philosophy of language thema EDItEUR::Q Philosophy and Religion::QD Philosophy::QDT Topics in philosophy::QDTL Philosophy: logic thema EDItEUR::C Language and Linguistics::CF Linguistics::CFA Philosophy of language thema EDItEUR::Q Philosophy and Religion::QD Philosophy::QDT Topics in philosophy::QDTL Philosophy: logic |
| url | OCN: 1269091101 |
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