Logical Form and Propositional Function in the Tractatus

Theoria 71 (3):215-240 (2005)
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Abstract

Wittgenstein's Tractatus carefully distinguished the concept all from\nthe notion of a truth-function, and thereby from the quantifiers.\nI argue that Wittgenstein's rationale for this distinction is lost\nunless propositional functions are understood within the context\nof his picture theory of the proposition. Using a model Tractatus\nlanguage, I show how there are two distinct forms of generality implicit\nin quantified Tractatus propositions. Although the explanation given\nin the Tractatus for this distinction is ultimately flawed, the distinction\nitself is a genuine one, and the forms of generality that Wittgenstein\nindicated can be seen in the quantified sentences of contemporary\nlogic

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Eric J. Loomis
University of South Alabama

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References found in this work

Tractatus logico-philosophicus.Ludwig Wittgenstein - 1922 - Filosoficky Casopis 52:336-341.
The logical syntax of language.Rudolf Carnap - 1937 - London,: K. Paul, Trench, Trubner & co.. Edited by Amethe Smeaton.
Philosophical grammar.Ludwig Wittgenstein - 1974 - Oxford [Eng.]: Blackwell. Edited by Rush Rhees.
Philosophical remarks.Ludwig Wittgenstein - 1975 - Chicago: University of Chicago Press. Edited by Rush Rhees.

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