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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2008
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBG01 Volltext |
| Zusammenfassung: | 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xx, 378 pages) |
| ISBN: | 9780511498534 |
| DOI: | 10.1017/CBO9780511498534 |
Internformat
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| 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 |
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| 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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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:38:52Z |
| institution | BVB |
| isbn | 9780511498534 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029337995 |
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| publishDate | 2008 |
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| publisher | Cambridge University Press |
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| 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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