This log was inspired by "How to Read Wittgenstein" and "Ludwig Wittgenstein: the duty of genius" by Ray Monk. It is based on reading Tractatus Logico-Philosophicus by Ludwig Wittgenstein translated by D. F. Pears & B. F. McGuinness (Routledge and Kegan Paul:1963)

Wednesday, March 26, 2008

A proposition is a truth function of elemental propositions.

Elemental propositions are the truth value arguments of a proposition. (An elemental proposition is a truth function of itself.) The structures of propositions relate to one another internally.

Propositions in the form of truth functions can be ordered as rows of a table. (That is the basis of probability theory.) All propositions can be expressed as the result of truth operators applied to the elemental propositions. Thus, 'logical objects' or 'logical constants' (in Frege's and Russell's sense) do not exist.

So every truth-function is a result of successive applications of the negation operator to elemental propositions. In this way, the limits of my speech mark the limits of my world.

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