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Tractatus Logico-Philosophicus by Ludwig Wittgenstein + comments by Maarten Maartensz |
Perhaps there is a likeness, but surely there are also many differences. The problem with "a function of the expressions contained in it" is that it then becomes unclear what a proposition is: this seems a per obscurum explanation at best. Besides, what Frege
and Russell maintained is, much rather, that both the
meaning and the
truth-value of a
proposition depend
functionally on the
terms of the
proposition, more or less in the sense that if one knows the meanings of all
terms and the truth-values of all propositions that do not contain
logical
operators, then one can infer the meaning and the truth-value of the
proposition. (The general idea coming down to: One knows what "cow", "eats",
"grass", "sun" and "shines" mean; so one knows what "the cow eats grass and the
sun shines" means, and since it is night one knows "the sun shines" is false and
therefore so is the conjunction even if "the cow eats grass" is true.) |