Originally Posted by
YesNo
I agree that Whitehead, Russell and Wittgenstein were trying to find a language that represented everything objectively. Perhaps an unconscious machine could be made to use it.
However, the subject matters of their languages were different. Whitehead and Russell started with propositions (axioms or assumptions) as the subject matter and from these initial statements derived other statements. They assumed their language was both consistent and complete. Godel showed it was not complete, assuming it was consistent. There were statements that could be formed in their language that could not be derived from it. They could not know everything about their subject matter they might think they should be able to know.
I don't think Godel addressed Wittgenstein's language whose subject matter was the world. His subject matter was not a set of propositions like Whitehead and Russell had as their subject matter, but "facts" about the world. He tried to reduce the "world" to "facts" so that his language could manipulate them.
To show they were talking about a different subject matter consider 2.0211: "If the world had no substance, then whether a proposition had sense would depend on whether another proposition was true." Whitehead and Russell were starting with initial propositions (axioms, not "facts") that had no "substance".
Quantum physics might have done to Wittgenstein's language what Godel did to Whitehead and Russell's Principia Mathematica. Wittgenstein cannot know all the "facts" about the world that he could formulate. He cannot know, for example, both the position and momentum of a quantum particle at any given time, but they could both be represented as facts. This seems to falsify 1.11: "The world is determined by the facts, and by their being all the facts."