David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Mind 115 (460):947-956 (2006)
The project of antirealism is to construct an assertibility semantics on which (1) the truth of statements obeys a recognition condition so that (2) counterexamples are forthcoming to the law of the excluded third and (3) intuitionistic formal predicate logic is provably sound and complete with respect to the associated notion of validity. Using principles of intuitionistic mathematics and employing only intuitionistically correct inferences, we show that prima facie reasonable formulations of (1), (2), and (3) are inconsistent. Therefore, it should not be assumed that the project of anti-realism as it bears upon intuitionistic mathematics and logic can be accomplished.
|Keywords||No keywords specified (fix it)|
No categories specified
(categorize this paper)
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.
Citations of this work BETA
W. Dean & H. Kurokawa (2010). From the Knowability Paradox to the Existence of Proofs. Synthese 176 (2):177 - 225.
Similar books and articles
Michael A. E. Dummett (2000). Elements of Intuitionism. Oxford University Press.
Greg Restall (2001). Constructive Logic, Truth and Warranted Assertability. Philosophical Quarterly 51 (205):474-483.
Victor N. Krivtsov (2000). A Negationless Interpretation of Intuitionistic Theories. I. Erkenntnis 64 (1-2):323-344.
D. C. McCarty (1996). Undecidability and Intuitionistic Incompleteness. Journal of Philosophical Logic 25 (5):559 - 565.
Giambattista Amati, Luigia Carlucci-Aiello & Fiora Pirri (1997). Intuitionistic Autoepistemic Logic. Studia Logica 59 (1):103-120.
Luca Moretti (2007). A Thick Realist Consequence of Wright's Minimalism. Pacific Philosophical Quarterly 88 (1):24–38.
Neil Tennant (1994). Intuitionistic Mathematics Does Not Needex Falso Quodlibet. Topoi 13 (2):127-133.
Michael Hand (2010). Antirealism and Universal Knowability. Synthese 173 (1):25 - 39.
Added to index2009-01-28
Total downloads9 ( #159,606 of 1,102,835 )
Recent downloads (6 months)2 ( #182,775 of 1,102,835 )
How can I increase my downloads?