000			02721nam a2200337Ia 4500
005			20260803094216.0
008			251212s2017 xx 000 0 und d©©©
245	1		_aPhilosophy of mathematics / _cØystein Linnebo.
100			_aLinnebo, Øystein
260			_aPrinceton, New Jersey : _bPrinceton University Press, _c©2017.
300			_avi, 203 pages:
300			_c23 cm
500			_aIncludes bibliographic references and index
020			_a978-0-691-16140-2
650			_aMathematics _xPhilosophy
944			_aCIR
050			_a510.1 L64p 2017
943			_b0 _c0 _d0 _e1 _f0 _g0 _h0 _i0 _j0
944			_b1 _c1 _d0
953			_pHED6037
546			_ain English
953			_cCollege Library
505			_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 -- Structuraliism -- The quest for new axioms.
520			_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 Go¨del, 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.
591			_a0
336			_atext
337			_aunmediated
338			_avolume
942			_2lcc _cBK _ajpascua _b2018-08-30 09:28:28 _djpascua _e2018-08-30 09:28:28
998			_a10425
999			_c10354 _d10354