Perspectives on the dispute between intuitionistic and classical mathematics

In Christer Svennerlind (ed.), Ursus Philosophicus. Essays dedicated to Björn Haglund on his sixtieth birthday. Philosophical Communications (2004)
Abstract
It is not unreasonable to think that the dispute between classical and intuitionistic mathematics might be unresolvable or 'faultless', in the sense of there being no objective way to settle it. If so, we would have a pretty case of relativism. In this note I argue, however, that there is in fact not even disagreement in any interesting sense, let alone a faultless one, in spite of appearances and claims to the contrary. A position I call classical pluralism is sketched, intended to provide a coherent methodological stance towards the issue. Some reasons to recommend this stance are given, as well as some speculations as to why not everyone might want to follow the recommendation.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Translate to english
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 25,727
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
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
The Foundations of Intuitionistic Mathematics.Stephen Cole Kleene - 1965 - Amsterdam: North-Holland Pub. Co..
Models of Intuitionistic TT and N.Daniel Dzierzgowski - 1995 - Journal of Symbolic Logic 60 (2):640-653.
Intuitionistic Completeness for First Order Classical Logic.Stefano Berardi - 1999 - Journal of Symbolic Logic 64 (1):304-312.
Elements of Intuitionism.Michael A. E. Dummett - 2000 - Oxford University Press.
Combining Possibilities and Negations.Greg Restall - 1997 - Studia Logica 59 (1):121-141.
Applied Constructive Mathematics: On Hellman's 'Mathematical Constructivism in Spacetime'.H. Billinge - 2000 - British Journal for the Philosophy of Science 51 (2):299-318.
Intuitionistic Mathematics and Wittgenstein.Wenceslao J. Gonzalez - 1991 - History and Philosophy of Logic 12 (2):167-183.

Monthly downloads

Added to index

2012-11-25

Total downloads

17 ( #274,124 of 2,146,486 )

Recent downloads (6 months)

2 ( #279,408 of 2,146,486 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Order:
There  are no threads in this forum
Nothing in this forum yet.

Other forums