Reality and Truth in Mathematics

Philosophia Mathematica 6 (2):131-168 (1998)
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?
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1093/philmat/6.2.131
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 34,562
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Mathematics and Reality.Stewart Shapiro - 1983 - Philosophy of Science 50 (4):523-548.
Truth -- Meaning -- Reality.Paul Horwich - 2009 - Oxford University Press.
William James's Conception of Reality.Sarah E. Glenn - 2003 - International Philosophical Quarterly 43 (2):207-218.
Mathematics and the Mind.M. Redhead - 2004 - British Journal for the Philosophy of Science 55 (4):731-737.
Mathematics and Reality.Mary Leng - 2010 - 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.

Analytics

Added to PP index
2012-04-07

Total downloads
28 ( #217,287 of 2,268,307 )

Recent downloads (6 months)
2 ( #211,684 of 2,268,307 )

How can I increase my downloads?

Monthly downloads

My notes

Sign in to use this feature