Four Views of Arithmetical Truth
Philological Quarterly (1990)
- ISSN: 00318094
Abstract
Four views of arithmetical truth are distinguished: the classical view, according to which each arithmetical sentence is true or false; the simple provability view, according to arithmetic truth is tied to derivability from axioms; the extended provability view, according to which the notion of proof is indefinite and extensible; the criterial view, suggested by Wittgenstein in the Tractatus. It is argued that the criterial view is the best of the four views.
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