Temporal and atemporal truth in intuitionistic mathematics

Topoi 13 (2):83-92 (1994)
In section 1 we argue that the adoption of a tenseless notion of truth entails a realistic view of propositions and provability. This view, in turn, opens the way to the intelligibility of theclassical meaning of the logical constants, and consequently is incompatible with the antirealism of orthodox intuitionism. In section 2 we show how what we call the potential intuitionistic meaning of the logical constants can be defined, on the one hand, by means of the notion of atemporal provability and, on the other, by means of the operator K of epistemic logic. Intuitionistic logic, as reconstructed within this perspective, turns out to be a part of epistemic logic, so that it loses its traditional foundational role, antithetic to that of classical logic. In section 3 we uphold the view that certain consequences of the adoption of atemporal notion of truth, despite their apparent oddity, are quite acceptable from an antirealist point of view.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1007/BF00763507
 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
Download options
PhilPapers Archive

Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 15,831
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
Timothy Williamson (1988). Knowability and Constructivism. Philosophical Quarterly 38 (153):422-432.
Stewart Shapiro (ed.) (1985). Intentional Mathematics. Sole Distributors for the U.S.A. And Canada, Elsevier Science Pub. Co..
Michael Dummett (1987). Reply to Dag Prawitz. In Barry Taylor (ed.), Michael Dummett: Contributions to Philosophy. Distributors for the United States and Canada, Kluwer Academic Publishers 281--316.
Stewart Shapiro (1989). Intensional Mathematics. Philosophy of Science 56 (1):177-178.

Add more references

Citations of this work BETA

Add more citations

Similar books and articles

Monthly downloads

Added to index


Total downloads

26 ( #115,404 of 1,724,750 )

Recent downloads (6 months)

5 ( #134,580 of 1,724,750 )

How can I increase my downloads?

My notes
Sign in to use this feature

Start a new thread
There  are no threads in this forum
Nothing in this forum yet.