As far as I know, When Russell asked to Wittgenstein to tell him the difference between Sache and Sachverhalt, Wittgenstein answered that "Sachverhalt" is what corresponds to an elementar sätze (an atomic statement, an atomic meaningful declarative sentence) if it is true, whereas "Sache" is all that correspond to the logical product (that is conjonctions, as we say today) of elementary propositions when this product is true.
- Is it correct to say that Sache is the elementary proposition when it's true, whereas Sachverhalt is the compound sentence when it's true? Why did Wittgenstein need to specifically connote true elementary and molecular propositions?