Showing, analysis and the truth-functionality of logical necessity in Wittgenstein's tractatus

Synthese 139 (1):81 - 105 (2004)
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Abstract

This paper aims to explain how the Tractatus attempts to unify logic by deriving the truth-functionality of logical necessity from the thesis that a proposition shows its sense. I first interpret the Tractarian notion of showing as the displaying of what is intrinsic to an expression (or a symbol). Then I argue that, according to the Tractatus, the thesis that a proposition shows its sense implies the determinacy of sense, the possibility of the complete elimination of non-primitive symbols, the analyticity thesis and the strong analyticity thesis. The picture theory emerges as what provides the only acceptable account of an elementary proposition, subject to the constraint that a proposition must show its sense. The picture theory and the analyticity thesis then entail the contingency thesis (that an elementary proposition is contingent) and the independence thesis (that elementary propositions are mutually logically independent) which, together with the strong analyticity thesis, imply that all logical propositions are tautologies.

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Leo Cheung
Chinese University of Hong Kong

Citations of this work

The unity of language and logic in Wittgenstein's tractatus.Leo K. C. Cheung - 2005 - Philosophical Investigations 29 (1):22–50.
The Concept of Testimony.Nicola Mößner - 2011 - In Christoph Jäger & Winfried Löffler (eds.), Epistemology: Contexts, Values, Disagreement, Papers of the 34. International Wittgenstein Symposium. Austrian Ludwig Wittgenstein Society. pp. 207-209.

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References found in this work

Tractatus logico-philosophicus.Ludwig Wittgenstein - 1922 - Filosoficky Casopis 52:336-341.
Tractatus Logico-Philosophicus.Ludwig Wittgenstein - 1956 - Revista Portuguesa de Filosofia 12 (1):109-110.
A Companion to Wittgenstein’s Tractatus.Max Black - 1964 - Cambridge University Press.
Some Remarks on Logical Form.Ludwig Wittgenstein - 1929 - Aristotelian Society Supplementary Volume 9 (1):162 - 171.

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