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: |
New York :
Cambridge University Press,
2008.
|
| Schlagworte: | |
| Online-Zugang: | 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: | 1 online resource (xx, 378 pages) |
| Bibliographie: | Includes bibliographical references (pages 343-363) and index. |
| ISBN: | 9780511378676 051137867X 0511377789 9780511377785 1107172705 9781107172708 1281243213 9781281243218 9786611243210 6611243216 0511376871 9780511376870 0511374437 9780511374432 0511498535 9780511498534 |
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| author | Parsons, Charles, 1933- |
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| author_facet | Parsons, Charles, 1933- |
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| 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 | (OCoLC)226291249 |
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| indexdate | 2024-11-27T13:16:19Z |
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| spelling | Parsons, Charles, 1933- https://id.oclc.org/worldcat/entity/E39PBJrCgq7fjGJCvmvTJM7mBP http://id.loc.gov/authorities/names/n83146630 Mathematical thought and its objects / Charles Parsons. New York : Cambridge University Press, 2008. 1 online resource (xx, 378 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references (pages 343-363) and index. 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. Print version record. 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. English. Mathematics Philosophy. http://id.loc.gov/authorities/subjects/sh85082153 Object (Philosophy) http://id.loc.gov/authorities/subjects/sh85093654 Logic. http://id.loc.gov/authorities/subjects/sh85078106 Mathématiques Philosophie. Objet (Philosophie) MATHEMATICS History & Philosophy. bisacsh Logic fast Mathematics Philosophy fast Object (Philosophy) fast Mathematik gnd http://d-nb.info/gnd/4037944-9 Induktion gnd http://d-nb.info/gnd/4026765-9 Intuition gnd http://d-nb.info/gnd/4027532-2 Objekt Philosophie gnd http://d-nb.info/gnd/4172302-8 has work: Mathematical thought and its objects (Text) https://id.oclc.org/worldcat/entity/E39PCG6vjCpYPwxQ6R9jbH7crm https://id.oclc.org/worldcat/ontology/hasWork Print version: Parsons, Charles, 1933- Mathematical thought and its objects. New York : Cambridge University Press, 2008 9780521452793 0521452791 (DLC) 2007016310 (OCoLC)123485452 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=220345 Volltext |
| 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. Mathematics Philosophy. http://id.loc.gov/authorities/subjects/sh85082153 Object (Philosophy) http://id.loc.gov/authorities/subjects/sh85093654 Logic. http://id.loc.gov/authorities/subjects/sh85078106 Mathématiques Philosophie. Objet (Philosophie) MATHEMATICS History & Philosophy. bisacsh Logic fast Mathematics Philosophy fast Object (Philosophy) fast Mathematik gnd http://d-nb.info/gnd/4037944-9 Induktion gnd http://d-nb.info/gnd/4026765-9 Intuition gnd http://d-nb.info/gnd/4027532-2 Objekt Philosophie gnd http://d-nb.info/gnd/4172302-8 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85082153 http://id.loc.gov/authorities/subjects/sh85093654 http://id.loc.gov/authorities/subjects/sh85078106 http://d-nb.info/gnd/4037944-9 http://d-nb.info/gnd/4026765-9 http://d-nb.info/gnd/4027532-2 http://d-nb.info/gnd/4172302-8 |
| title | Mathematical thought and 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 | Mathematics Philosophy. http://id.loc.gov/authorities/subjects/sh85082153 Object (Philosophy) http://id.loc.gov/authorities/subjects/sh85093654 Logic. http://id.loc.gov/authorities/subjects/sh85078106 Mathématiques Philosophie. Objet (Philosophie) MATHEMATICS History & Philosophy. bisacsh Logic fast Mathematics Philosophy fast Object (Philosophy) fast Mathematik gnd http://d-nb.info/gnd/4037944-9 Induktion gnd http://d-nb.info/gnd/4026765-9 Intuition gnd http://d-nb.info/gnd/4027532-2 Objekt Philosophie gnd http://d-nb.info/gnd/4172302-8 |
| topic_facet | Mathematics Philosophy. Object (Philosophy) Logic. Mathématiques Philosophie. Objet (Philosophie) MATHEMATICS History & Philosophy. Logic Mathematics Philosophy Mathematik Induktion Intuition Objekt Philosophie |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=220345 |
| work_keys_str_mv | AT parsonscharles mathematicalthoughtanditsobjects |