Formalization and infinity

Manuscrito 31 (1):25-43 (2008)
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Abstract

This article discusses some of Chateaubriand’s views on the connections between the ideas of formalization and infinity, as presented in chapters 19 and 20 of Logical Forms. We basically agree with his criticisms of the standard construal of these connections, a view we named “formal proofs as ultimate provings”, but we suggest an alternative way of picturing that connection based on some ideas of the late Wittgenstein.

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André Porto
Universidade Federal de Goiás

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References found in this work

Wittgenstein on rules and private language.Saul Kripke - 1982 - Revue Philosophique de la France Et de l'Etranger 173 (4):496-499.
The Big Typescript.Ludwig Wittgenstein - 2000 - Wiley. Edited by Michael Nedo.
Wittgenstein on Mathematical Identities.André Porto - 2012 - Disputatio 4 (34):755-805.

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