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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Cambridge University Press,
2008.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Parsons, Charles, |d 1933- | |
| 245 | 1 | 0 | |a Mathematical thought and its objects / |c Charles Parsons. |
| 260 | |a New York : |b Cambridge University Press, |c 2008. | ||
| 300 | |a 1 online resource (xx, 378 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 504 | |a Includes bibliographical references (pages 343-363) and index. | ||
| 505 | 0 | |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. | |
| 588 | 0 | |a Print version record. | |
| 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. | ||
| 546 | |a English. | ||
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| 650 | 0 | |a Mathematics |x Philosophy. | |
| 650 | 0 | |a Object (Philosophy) | |
| 650 | 0 | |a Logic. | |
| 650 | 6 | |a Mathématiques |x Philosophie. | |
| 650 | 6 | |a Objet (Philosophie) | |
| 650 | 7 | |a MATHEMATICS |x History & Philosophy. |2 bisacsh | |
| 650 | 7 | |a Logic |2 fast | |
| 650 | 7 | |a Mathematics |x Philosophy |2 fast | |
| 650 | 7 | |a Object (Philosophy) |2 fast | |
| 650 | 7 | |a Mathematik |2 gnd | |
| 650 | 7 | |a Induktion |2 gnd | |
| 650 | 7 | |a Intuition |2 gnd | |
| 650 | 7 | |a Objekt |g Philosophie |2 gnd | |
| 776 | 0 | 8 | |i Print version: |a Parsons, Charles, 1933- |t Mathematical thought and its objects. |d New York : Cambridge University Press, 2008 |z 9780521452793 |z 0521452791 |w (DLC) 2007016310 |w (OCoLC)123485452 |
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