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Wittgenstein clearly states this Correspondence Theory of Truth at (4.25): "If an elementary proposition is true, the state of affairs exists; if an elementary proposition is false, the state of affairs does not exist".
But it cannot be an elementary proposition because it will be entailed by any elementary proposition containing 'a,' and elementary propositions are logically independent (4.211).
The translation has Wittgenstein saying that an elementary proposition is false, when the corresponding state of affairs (atomic fact) does not exist but the German original of the same passage looks rather like a version of (2).
As we have seen, at the time of writing Principia Mathematica, Russell believed that an elementary proposition consisting of a single predicate representing an n-place relation along with n names of individuals is true if it corresponds to a complex.
The model has the merit of exemplifying the Tractarian idea that we cannot conceive of something as a name outside the context of an elementary proposition (cf. 4.23); for it is only in the context of a given elementary proposition that a name's n-adicity is determinate.
An elementary proposition in Wittgenstein's sense is a concatenation of simple proper names that refer to simple objects.
Similar(51)
Other advocates would follow Armstrong who tends to present his truthmaker theory as a liberal form of correspondence theory; indeed, he seems committed to the view that the truth of a (contingent) elementary proposition consists in its correspondence with some (atomic) fact (cf. Armstrong 1997 20044, pp. 22-3, 48-50).
A simple proposition is an elementary statement such as "it is day".
Nor can he analyse "a exists" as "~[ ~Fa & ~Ga & ~Ha…]" — that is, as the negation of the conjunction of the negations of every elementary proposition involving "a".
The names in the elementary proposition are arranged in a way that can be mapped onto an arrangement of the object named.
This arrangement of objects is the state of affairs pictured by the elementary proposition.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com