Format:
1 Online-Ressource (xx, 378 pages)
,
digital, PDF file(s)
ISBN:
9780511498534
Content:
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
Content:
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
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Additional Edition:
ISBN 9780521452793
Additional Edition:
ISBN 9780521119115
Additional Edition:
Print version ISBN 9780521452793
Language:
English
Subjects:
Mathematics
,
Philosophy
DOI:
10.1017/CBO9780511498534
URL:
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