UID:
almafu_9959242886502883
Format:
1 online resource (xx, 378 pages) :
,
digital, PDF file(s).
ISBN:
1-107-17270-5
,
1-281-24321-3
,
9786611243210
,
0-511-37778-9
,
0-511-37687-1
,
0-511-37593-X
,
0-511-37443-7
,
0-511-49853-5
,
0-511-37867-X
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.
Note:
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.
,
English
Additional Edition:
ISBN 0-521-11911-1
Additional Edition:
ISBN 0-521-45279-1
Language:
English
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