David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Synthese 90 (3):437 - 458 (1992)
Michael Dummett's anti-realism is founded on the semantics of natural language which, he argues, can only be satisfactorily given in mathematics by intuitionism. It has been objected that an analog of Dummett's argument will collapse intuitionism into strict finitism. My purpose in this paper is to refute this objection, which I argue Dummett does not successfully do. I link the coherence of strict finitism to a view of confirmation — that our actual practical abilities cannot confirm we know what would happen if we could compute impracticably vast problems. But to state his case, the strict finitists have to suppose that we grasp the truth conditions of sentences we can't actually decide. This comprehension must be practically demonstrable, or the analogy with Dummett's argument fails. So, our actual abilities must be capable of confirming that we know what would be the case if actually undecidable sentences were true, contradicting the view of confirmation. I end by considering objections.
|Keywords||No keywords specified (fix it)|
No categories specified
(categorize this paper)
|Through your library||Configure|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Alexander George (1988). Intuitionism, Excluded Middle and Decidability: A Response to Weir on Dummett: A Response to Weir on Dummett. Mind 97 (388):597-602.
Julien Murzi (2010). Knowability and Bivalence: Intuitionistic Solutions to the Paradox of Knowability. [REVIEW] Philosophical Studies 149 (2):269 - 281.
Cheng-Hung Tsai (2010). Practical Knowledge of Language. Philosophia 38 (2):331-341.
Benjamin Murphy, Michael Dummett. Internet Encyclopedia of Philosophy.
Richard Tieszen (2000). Intuitionism, Meaning Theory and Cognition. History and Philosophy of Logic 21 (3):179-194.
Ernest J. Welti (1987). The Philosophy of Strict Finitism. Theoria 2 (2):575-582.
Jan Dejnožka (2010). Dummett's Forward Road to Frege and to Intuitionism. Diametros 25:118-131.
John P. Burgess (1984). Dummett's Case for Intuitionism. History and Philosophy of Logic 5 (2):177-194.
Ofra Magidor (2012). Strict Finitism and the Happy Sorites. Journal of Philosophical Logic 41 (2):471-491.
Ofra Magidor (2007). Strict Finitism Refuted? Proceedings of the Aristotelian Society 107 (1pt3):403-411.
Added to index2009-01-28
Total downloads4 ( #198,664 of 1,089,054 )
Recent downloads (6 months)1 ( #69,801 of 1,089,054 )
How can I increase my downloads?