Reality and Truth in Mathematics

Philosophia Mathematica 6 (2):131-168 (1998)
  Copy   BIBTEX

Abstract

Brouwer's positions about existence (reality) and truth are examined in the light of ninety years of scientific progress. Relevant results in proof theory, recursion theory, set theory, relativity, and quantum mechanics are used to cast light on the following philosophical questions: What is real, and how do we know it? What does it mean to say a thing exists? Can things exist that we can't know about? Can things exist that we don't know how to find? What does it mean to say something is true? How can we know whether something is true? Can things be true that we can't ever know to be true?

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,102

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

Mathematics and reality.Stewart Shapiro - 1983 - Philosophy of Science 50 (4):523-548.
Truth-meaning-reality.Paul Horwich - 2010 - New York: Oxford University Press.
William James’s Conception of Reality: Found, Not Manufactured.Sarah E. Glenn - 2003 - International Philosophical Quarterly 43 (2):207-218.
Mathematics and the mind.Michael Redhead - 2004 - British Journal for the Philosophy of Science 55 (4):731-737.
Mathematics and Reality.Mary Leng - 2010 - Oxford: Oxford University Press.
Mathematical necessity and reality.James Franklin - 1989 - Australasian Journal of Philosophy 67 (3):286 – 294.
Kant, Skepticism, and the Comparison Argument.Alberto Vanzo - 2010 - In Pablo Muchnick (ed.), Rethinking Kant, vol. 2. Cambridge Scholars Publishers.
A pragmatist theory of truth and reality.Samuel S. S. Browne - 1930 - Princeton,: Princeton university press.
Explanation and Reality in Linguistics.Michael Devitt - 2008 - Croatian Journal of Philosophy 8 (2):203-231.
Truth and reality in Marx and Hegel: a reassessment.Czeslaw Prokopczyk - 1980 - Amherst: University of Massachusetts Press.

Analytics

Added to PP
2012-04-07

Downloads
49 (#299,481)

6 months
3 (#643,273)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references