000 02904cam a2200337 i 4500
999 _c487243
_d487243
001 988845878
003 US-DLC
005 20171220133030.0
008 161111t20172017nju b 001 0 eng c
020 _z0691161402 (hardcover)
020 _a9780691161402 (hardcover)
035 _a(OCoLC)988845878
_z(OCoLC)962353976
040 _aYDX
_beng
_erda
_cYDX
_dOCLCO
_dIUL
_dIQU
_dNTD
_dOCLCF
_dBDX
_dERASA
_dTOH
_dGYG
042 _apcc
049 _aAlfaisal Main Library
050 4 _aQA8.4
_b.L56 2017
100 1 _aLinnebo, Øystein,
_eauthor.
245 1 0 _aPhilosophy of mathematics /
_cØystein Linnebo.
260 _c2017
264 1 _aPrinceton, NJ :
_bPrinceton University Press,
_c[2017]
264 4 _c©2017.
300 _a203 pages
_bill. ;
_c23 cm.
336 _atext
_btxt
_2rdacontent
337 _aunmediated
_bn
_2rdamedia
338 _avolume
_bnc
_2rdacarrier
490 1 _aPrinceton foundations of contemporary philosophy.
504 _aIncludes bibliographical references (pages [189]-198) and index.
505 0 _aMathematics as a philosophical challenge -- Frege's logicism -- Formalism and deductivism -- Hilbert's program -- Intuitionism -- Empiricism about mathematics -- Nominalism -- Mathematical intuition -- Abstraction reconsidered -- The iterative conception of sets -- Structuralisim -- The quest for new axioms.
520 8 _aMathematics is one of humanity's most successful yet puzzling endeavors. It is a model of precision and objectivity, but appears distinct from the empirical sciences because it seems to deliver nonexperiential knowledge of a nonphysical reality of numbers, sets, and functions. How can these two aspects of mathematics be reconciled? This concise book provides a systematic yet accessible introduction to the field that is trying to answer that question: the philosophy of mathematics. Written by Øystein Linnebo, one of the world's leading scholars on the subject, the book introduces all of the classical approaches to the field, including logicism, formalism, intuitionism, empiricism, and structuralism. It also contains accessible introductions to some more specialized issues, such as mathematical intuition, potential infinity, the iterative conception of sets, and the search for new mathematical axioms. The groundbreaking work of German mathematician and philosopher Gottlob Frege, one of the founders of analytic philosophy, figures prominently throughout the book. Other important thinkers whose work is introduced and discussed include Immanuel Kant, John Stuart Mill, David Hilbert, Kurt Gödel, W. V. Quine, Paul Benacerraf, and Hartry H. Field. Sophisticated but clear and approachable, this is an essential introduction for all students and teachers of philosophy, as well as mathematicians and others who want to understand the foundations of mathematics.
650 0 _aMathematics
_xPhilosophy.
655 0 _2local
_94
_aPrint books.
942 _2lcc
_cBOOKS