02721nam a2200337Ia 4500 20260803094216.0 251212s2017 xx 000 0 und d©©© Philosophy of mathematics / Øystein Linnebo. Linnebo, Øystein Princeton, New Jersey : Princeton University Press, ©2017. vi, 203 pages: 23 cm Includes bibliographic references and index 978-0-691-16140-2 Mathematics Philosophy CIR 510.1 L64p 2017 0 0 0 1 0 0 0 0 0 1 1 0 HED6037 in English College Library Mathematics 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. Mathematics 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. 0 text unmediated volume lcc BK jpascua 2018-08-30 09:28:28 jpascua 2018-08-30 09:28:28 10425 10354 10354