According to Wittgenstein's tractatus,
- A fact is composed of atomic facts.
- An atomic fact corresponds to an elemental proposition. (Picture theory)
- A proposition is a series of elemental propositions connected by logical connectives such as ∧, ∨ and ¬. The truth value of a proposition is determined by the truth values of its elemental propositions and can be calculated by using the laws of logic.
- Thus, a fact is representable by a proposition.
So it seems like to me that Wittgenstein assumes that:
- All facts(propositions) are either true or false, and,
- The laws of logic are valid.
Here is my question. Does Wittgenstein think that the above assumptions hold because they are the nature of the universe, or because they are the way humans perceive the world? Plato claimed the former, Kant claimed the latter. Where would Wittgenstein stand?