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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 |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Cambridge University Press,
2008.
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| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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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| Descripción Física: | 1 online resource (xx, 378 pages) |
| Bibliografía: | 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 |