Philosophy of mathematics: selected readings

New York: Cambridge University Press (1983)
  Copy   BIBTEX

Abstract

The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school (Hilbert's Formalism), and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Gödel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,873

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Toward the "Principles of mathematics" 1900-02.Bertrand Russell - 1993 - New York: Routledge. Edited by Gregory H. Moore.
Foundations of logic, 1903-05.Bertrand Russell - 1994 - New York: Routledge. Edited by Alasdair Urquhart & Albert C. Lewis.
Towards a Philosophy of Applied Mathematics.Christopher Pincock - 2009 - In Otávio Bueno & Øystein Linnebo (eds.), New Waves in Philosophy of Mathematics. Palgrave-Macmillan.
Reflections on mathematics.Edward N. Zalta - 2007 - In V. F. Hendricks & Hannes Leitgeb (eds.), Philosophy of Mathematics: Five Questions. Automatic Press/VIP.
Philosophy of mathematics.Paul Benacerraf (ed.) - 1964 - Englewood Cliffs, N.J.,: Prentice-Hall.

Analytics

Added to PP
2009-01-28

Downloads
487 (#40,560)

6 months
37 (#101,158)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

The Intellectual Given.John Bengson - 2015 - Mind 124 (495):707-760.
Plural quantification exposed.Øystein Linnebo - 2003 - Noûs 37 (1):71–92.
Categoricity by convention.Julien Murzi & Brett Topey - 2021 - Philosophical Studies 178 (10):3391-3420.

View all 68 citations / Add more citations

References found in this work

No references found.

Add more references