Mathematical thought and its objects
Charles Parsons examines the notion of object, with the aim to navigate between nominalism, denying that distinctively mathematical objects exist, and forms of Platonism that postulate a transcendent realm of such objects. He introduces the central mathematical notion of structure and defends a vers...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Cambridge
Cambridge University Press
2008
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| Online-Zugang: | DE-12 DE-92 DE-473 URL des Erstveröffentlichers |
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| 245 | 1 | 0 | |a Mathematical thought and its objects |c Charles Parsons |
| 246 | 1 | 3 | |a Mathematical Thought & its Objects |
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| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 505 | 8 | |a Objects and logic -- Structuralism and nominalism -- Modality and structuralism -- A problem about sets -- Intuition -- Numbers as objects -- Intuitive arithmetic and its limits -- Mathematical induction -- Reason | |
| 520 | |a Charles Parsons examines the notion of object, with the aim to navigate between nominalism, denying that distinctively mathematical objects exist, and forms of Platonism that postulate a transcendent realm of such objects. He introduces the central mathematical notion of structure and defends a version of the structuralist view of mathematical objects, according to which their existence is relative to a structure and they have no more of a 'nature' than that confers on them. Parsons also analyzes the concept of intuition and presents a conception of it distantly inspired by that of Kant, which describes a basic kind of access to abstract objects and an element of a first conception of the infinite | ||
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Datensatz im Suchindex
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| author | Parsons, Charles 1933- |
| author_facet | Parsons, Charles 1933- |
| author_role | aut |
| author_sort | Parsons, Charles 1933- |
| author_variant | c p cp |
| building | Verbundindex |
| bvnumber | BV043928917 |
| classification_rvk | CC 2600 QB 100 |
| collection | ZDB-20-CBO |
| contents | Objects and logic -- Structuralism and nominalism -- Modality and structuralism -- A problem about sets -- Intuition -- Numbers as objects -- Intuitive arithmetic and its limits -- Mathematical induction -- Reason |
| ctrlnum | (ZDB-20-CBO)CR9780511498534 (OCoLC)967420870 (DE-599)BVBBV043928917 |
| dewey-full | 510.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510.1 |
| dewey-search | 510.1 |
| dewey-sort | 3510.1 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Philosophie Wirtschaftswissenschaften |
| doi_str_mv | 10.1017/CBO9780511498534 |
| format | Electronic eBook |
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| id | DE-604.BV043928917 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-24T05:33:33Z |
| institution | BVB |
| isbn | 9780511498534 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029337995 |
| oclc_num | 967420870 |
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| owner_facet | DE-12 DE-473 DE-BY-UBG DE-92 |
| physical | 1 online resource (xx, 378 pages) |
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| publishDate | 2008 |
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| publishDateSort | 2008 |
| publisher | Cambridge University Press |
| record_format | marc |
| spelling | Parsons, Charles 1933- Verfasser aut Mathematical thought and its objects Charles Parsons Mathematical Thought & its Objects Cambridge Cambridge University Press 2008 1 online resource (xx, 378 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) Objects and logic -- Structuralism and nominalism -- Modality and structuralism -- A problem about sets -- Intuition -- Numbers as objects -- Intuitive arithmetic and its limits -- Mathematical induction -- Reason Charles Parsons examines the notion of object, with the aim to navigate between nominalism, denying that distinctively mathematical objects exist, and forms of Platonism that postulate a transcendent realm of such objects. He introduces the central mathematical notion of structure and defends a version of the structuralist view of mathematical objects, according to which their existence is relative to a structure and they have no more of a 'nature' than that confers on them. Parsons also analyzes the concept of intuition and presents a conception of it distantly inspired by that of Kant, which describes a basic kind of access to abstract objects and an element of a first conception of the infinite Mathematik Philosophie Mathematics / Philosophy Object (Philosophy) Logic Mathematik (DE-588)4037944-9 gnd rswk-swf Logik (DE-588)4036202-4 gnd rswk-swf Mathematik (DE-588)4037944-9 s Logik (DE-588)4036202-4 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-11911-5 Erscheint auch als Druckausgabe 978-0-521-45279-3 https://doi.org/10.1017/CBO9780511498534 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Parsons, Charles 1933- Mathematical thought and its objects Objects and logic -- Structuralism and nominalism -- Modality and structuralism -- A problem about sets -- Intuition -- Numbers as objects -- Intuitive arithmetic and its limits -- Mathematical induction -- Reason Mathematik Philosophie Mathematics / Philosophy Object (Philosophy) Logic Mathematik (DE-588)4037944-9 gnd Logik (DE-588)4036202-4 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4036202-4 |
| title | Mathematical thought and its objects |
| title_alt | Mathematical Thought & its Objects |
| title_auth | Mathematical thought and its objects |
| title_exact_search | Mathematical thought and its objects |
| title_full | Mathematical thought and its objects Charles Parsons |
| title_fullStr | Mathematical thought and its objects Charles Parsons |
| title_full_unstemmed | Mathematical thought and its objects Charles Parsons |
| title_short | Mathematical thought and its objects |
| title_sort | mathematical thought and its objects |
| topic | Mathematik Philosophie Mathematics / Philosophy Object (Philosophy) Logic Mathematik (DE-588)4037944-9 gnd Logik (DE-588)4036202-4 gnd |
| topic_facet | Mathematik Philosophie Mathematics / Philosophy Object (Philosophy) Logic Logik |
| url | https://doi.org/10.1017/CBO9780511498534 |
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