MARC Record from marc_columbia

LEADER: 03283cam a2200385 a 4500
001 7036530
005 20221130204251.0
008 070417s2008 nyu b 001 0 eng
010 $a 2007016310
020 $a9780521452793 (hardback)
020 $a0521452791 (hardback)
029 1 $aNLGGC$b309853397
029 1 $aNZ1$b12241971
035 $a(OCoLC)ocn123485452
035 $a(NNC)7036530
035 $a7036530
040 $aDLC$cDLC$dYDX$dBTCTA$dBAKER$dYDXCP$dIXA$dBWK$dOrLoB-B
050 00 $aQA8.4$b.P366 2008
082 00 $a510.1$222
100 1 $aParsons, Charles,$d1933-$0http://id.loc.gov/authorities/names/n83146630
245 10 $aMathematical thought and its objects /$cCharles Parsons.
260 $aNew York :$bCambridge University Press,$c2008.
300 $axx, 378 pages ;$c24 cm
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
504 $aIncludes bibliographical references (p. 343-363) and index.
505 00 $g1.$tObjects and logic -- $g2.$tStructuralism and nominalism -- $g3.$tModality and structuralism -- $g4.$tA problem about sets -- $g5.$tIntuition -- $g6.$tNumbers as objects -- $g7.$tIntuitive arithmetic and its limits -- $g8.$tMathematical induction -- $g9.$tReason.
520 1 $a"In Mathematical Thought and Its Objects, Charles Parsons examines the notion of object, with the aim of navigating between nominalism, which denies 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. An intuitive model witnesses the possibility of the structure of natural numbers. However, the full concept of number and knowledge of numbers involve more that is conceptual and rational. Parsons considers how one can talk about numbers, even though they are not objects of intuition. He explores the conceptual role of the principle of mathematical induction and the sense in which it determines the natural numbers uniquely." "Parsons ends with a discussion of reason and its role in mathematical knowledge, attempting to do justice to the complementary roles in mathematical knowledge of rational insight, intuition, and the integration of our theory as a whole."--BOOK JACKET.
650 0 $aMathematics$xPhilosophy.$0http://id.loc.gov/authorities/subjects/sh85082153
650 0 $aObject (Philosophy)$0http://id.loc.gov/authorities/subjects/sh85093654
650 0 $aLogic.$0http://id.loc.gov/authorities/subjects/sh85078106
856 41 $3Table of contents only$uhttp://www.loc.gov/catdir/toc/ecip0716/2007016310.html
856 42 $3Contributor biographical information$uhttp://www.loc.gov/catdir/enhancements/fy0803/2007016310-b.html
856 42 $3Publisher description$uhttp://www.loc.gov/catdir/enhancements/fy0803/2007016310-d.html
852 00 $bglx$hQA8.4$i.P366 2008