timelets

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).