紀錄類型 ： 書目-語言資料,印刷品: 單行本

作者 ： LinneboØystein,

出版地 ： Princeton

出版者 ： Princeton University Press;

出版年 ： c2017.

面頁冊數 ： vi, 203 p.23 cm.;

集叢名 ： Princeton foundations of contemporary philosophy

標題 ： Mathematics - Philosophy. -

摘要註 ： 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 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.-- Source other than Library of Congress.

ISBN ： 9780691161402

ISBN ： 0691161402

內容註 ： 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.