David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
History and Philosophy of Logic 21 (3):179-194 (2000)
Michael Dummett has interpreted and expounded upon intuitionism under the influence of Wittgensteinian views on language, meaning and cognition. I argue against the application of some of these views to intuitionism and point to shortcomings in Dummett's approach. The alternative I propose makes use of recent, post-Wittgensteinian views in the philosophy of mind, meaning and language. These views are associated with the claim that human cognition exhibits intentionality and with related ideas in philosophical psychology. Intuitionism holds that mathematical constructions are mental processes or objects. Constructions are, in the first instance, forms of consciousness or possible experience of a particular type. As such, they must be understood in terms of the concept of intentionality. This view has a historical basis in the literature on intuitionism. In a famous 1931 lecture Heyting in fact identifies constructions with fulfilled or fulfillable mathematical intentions. I consider some of the consequences of this identification and contrast them with Dummett's views on intuitionism
|Keywords||No keywords specified (fix it)|
|Categories||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
Paul Benacerraf & Hilary Putnam (eds.) (1983). Philosophy of Mathematics: Selected Readings. Cambridge University Press.
Michael A. E. Dummett (2000). Elements of Intuitionism. Oxford University Press.
Michael A. E. Dummett (1978). Truth and Other Enigmas. Harvard University Press.
Michael A. E. Dummett (1991). The Logical Basis of Metaphysics. Harvard University Press.
Michael A. E. Dummett (1993). The Seas of Language. Oxford University Press.
Citations of this work BETA
No citations found.
Similar books and articles
Michael Hand (2010). Antirealism and Universal Knowability. Synthese 173 (1):25 - 39.
Mark Schroeder (2009). Huemer's Clarkeanism. [REVIEW] Philosophy and Phenomenological Research 78 (1):197 - 204.
Robert Audi (1998). Moderate Intuitionism and the Epistemology of Moral Judgment. Ethical Theory and Moral Practice 1 (1):15-44.
Mark T. Nelson (1991). Intuitionism and Subjectivism. Metaphilosophy 22 (1-2):115-121.
Samuel William Mitchell (1992). Dummett's Intuitionism is Not Strict Finitism. Synthese 90 (3):437 - 458.
Alexander George (1994). Intuitionism and the Poverty of the Inference Argument. Topoi 13 (2):79-82.
Jan Dejnožka (2010). Dummett's Forward Road to Frege and to Intuitionism. Diametros 25:118-131.
Elizabeth Tropman (2009). Renewing Moral Intuitionism. Journal of Moral Philosophy 6 (4):440-463.
David Kaspar (2012). Intuitionism. Continuum International Pub. Group.
Dirk Schlimm (2005). Against Against Intuitionism. Synthese 147 (1):171 - 188.
Added to index2010-08-10
Total downloads19 ( #135,870 of 1,699,706 )
Recent downloads (6 months)1 ( #362,609 of 1,699,706 )
How can I increase my downloads?