Cover: Philosophy of Mathematics in the Twentieth Century: Selected Essays, from Harvard University PressCover: Philosophy of Mathematics in the Twentieth Century in HARDCOVER

Philosophy of Mathematics in the Twentieth Century

Selected Essays

Add to Cart

Product Details

HARDCOVER

$63.50 • £50.95 • €57.00

ISBN 9780674728066

Publication Date: 03/17/2014

Text

368 pages

6-1/8 x 9-1/4 inches

World

In this illuminating collection, Charles Parsons surveys the contributions of philosophers and mathematicians who shaped the philosophy of mathematics over the course of the past century.

Parsons begins with a discussion of the Kantian legacy in the work of L. E. J. Brouwer, David Hilbert, and Paul Bernays, shedding light on how Bernays revised his philosophy after his collaboration with Hilbert. He considers Hermann Weyl’s idea of a “vicious circle” in the foundations of mathematics, a radical claim that elicited many challenges. Turning to Kurt Gödel, whose incompleteness theorem transformed debate on the foundations of mathematics and brought mathematical logic to maturity, Parsons discusses his essay on Bertrand Russell’s mathematical logic—Gödel’s first mature philosophical statement and an avowal of his Platonistic view.

Philosophy of Mathematics in the Twentieth Century insightfully treats the contributions of figures the author knew personally: W. V. Quine, Hilary Putnam, Hao Wang, and William Tait. Quine’s early work on ontology is explored, as is his nominalistic view of predication and his use of the genetic method of explanation in the late work The Roots of Reference. Parsons attempts to tease out Putnam’s views on existence and ontology, especially in relation to logic and mathematics. Wang’s contributions to subjects ranging from the concept of set, minds, and machines to the interpretation of Gödel are examined, as are Tait’s axiomatic conception of mathematics, his minimalist realism, and his thoughts on historical figures.

Recent News

Black lives matter. Black voices matter. A statement from HUP »

From Our Blog

Jacket: The Cabinet: George Washington and the Creation of an American Institution, by Lindsay Chervinsky, from Harvard University Press

Why You Should Participate in an (Online) Book Club

Online book clubs can be a rewarding way to connect with readers, Lindsay Chervinsky discovered, when she was invited to join one to discuss her book, The Cabinet: George Washington and the Creation of an American Institution. Since my book was published in April 2020, I’ve discovered that my work appeals to three main audiences. First, the general readers who are enthusiastic about history, attend virtual events, and tend to support local historic sites. Second, readers who are curious about our government institutions and the current political climate and are looking for answers about its origins. And third, history, social studies, and government teachers