000 02147nam a22003738i 4500
001 CR9780511498534
003 UkCbUP
005 20200124160330.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090309s2008||||enk o ||1 0|eng|d
020 _a9780511498534 (ebook)
020 _z9780521452793 (hardback)
020 _z9780521119115 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA8.4
_b.P366 2008
082 0 0 _a510.1
_222
100 1 _aParsons, Charles,
_d1933-
_eauthor.
245 1 0 _aMathematical thought and its objects /
_cCharles Parsons.
246 3 _aMathematical Thought & its Objects
264 1 _aCambridge :
_bCambridge University Press,
_c2008.
300 _a1 online resource (xx, 378 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _aObjects and logic -- Structuralism and nominalism -- Modality and structuralism -- A problem about sets -- Intuition -- Numbers as objects -- Intuitive arithmetic and its limits -- Mathematical induction -- Reason.
520 _aCharles 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.
650 0 _aMathematics
_xPhilosophy.
650 0 _aObject (Philosophy)
650 0 _aLogic.
776 0 8 _iPrint version:
_z9780521452793
856 4 0 _uhttps://doi.org/10.1017/CBO9780511498534
999 _c522454
_d522452