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Kripke talks about one of the main themes in Wittgenstein's "Investigations" project:
...the central questions he wishes to ask about the use of language. Do not look for 'entities' and 'facts' corresponding to numerical assertions, but look at the circumstances under which utterances involving numerals are made, and the utility of making them under these circumstances.

-- Saul Kripke, "Wittgenstein on Rules and Private Language. (1984).
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The clearest summary I've ever read on the subject:

Although in detail the Tractatus is among the most difficult of philosophical works, its rough outlines are well known. To each sentence there corresponds a (possible) fact. If such a fact, obtains, the sentence is true; if not, false. For atomic sentences, the relation between a sentence and the fact it alleges is one of a simple correspondence or isomorphism. The sentence contains names, corresponding to objects. An
atomic sentence is itself a fact, putting the names in a certain relation; and it says that (there is a corresponding fact that) the corresponding objects are in the same relation. Other sentences are (finite or infinite) truth-functions of these.

-- Saul Kripke, "Wittgenstein on Rules and Private Language. (1984).

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