David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jonathan Jenkins Ichikawa
Jack Alan Reynolds
Learn more about PhilPapers
Philosophical Quarterly 40 (159):155-168 (1990)
Four views of arithmetical truth are distinguished: the classical view, the provability view, the extended provability view, the criterial view. The main problem with the first is the ontology it requires one to accept. Two anti-realist views are the two provability views. The first of these is judged to be preferable. However, it requires a non-trivial account of the provability of axioms. The criterial view is gotten from remarks Wittgenstein makes in Tractatus 6.2-6.22 . It is judged to be the best of four views. It is also defended against objections.
|Keywords||Wittgenstein Dummett mathematical truth|
|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
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
J. Salerno (2000). Revising the Logic of Logical Revision. Philosophical Studies 99 (2):211-227.
Enrico Martino (2002). The Priority of Arithmetical Truth Over Arithmetical Provability. Topoi 21 (1-2):55-63.
Panu Raatikainen (2008). On Rules of Inference and the Meanings of Logical Constants. Analysis 68 (300):282-287.
Richard Heck & Robert May (forthcoming). Truth in Frege. In M. Glanzberg (ed.), Oxford Handbook of Truth. Oxford University Press
Cyrus Panjvani (2006). Wittgenstein and Strong Mathematical Verificationism. Philosophical Quarterly 56 (224):406–425.
Richard Tieszen (2000). Intuitionism, Meaning Theory and Cognition. History and Philosophy of Logic 21 (3):179-194.
Charles Sayward (2001). On Some Much Maligned Remarks of Wittgenstein on Gödel. Philosophical Investigations 24 (3):262–270.
Agustin Rayo (2008). On Specifying Truth-Conditions. Philosophical Review 117 (3):385 - 443.
Michael Hand (2010). Antirealism and Universal Knowability. Synthese 173 (1):25 - 39.
Added to index2009-01-28
Total downloads27 ( #152,564 of 1,934,708 )
Recent downloads (6 months)1 ( #434,264 of 1,934,708 )
How can I increase my downloads?