|Omniscience: the ability to know all statements. - Logical problem even the understanding of a logically true statement could could cause the requirement, that all logical consequences are known. E.g. Knowing the calculation rules would logically require that all the results are known.|
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Leibniz/all properties necessary/Stalnaker: Proposition/truth/omniscience: problem: the proposition expressed by the sentence, E.g. that Shakespeare wrote plays, is true only in the real world. - ((s) Nothing may be changed without everything changing.) - Therefore, it is a proposition that entails every true proposition - which has the consequence: only God could know that Shakespeare wrote plays. - ((s) Because he knows all the propositions that are implied by this proposition.) If a proposition were counterfactually not true, the proposition about Shakespeare would also be wrong, because everything would be changed - We limited people can only know that "Shakespeare wrote plays" is a true proposition - ((s) But which one? Who is the person? We do not know, because we do not know all the facts about the world) - ((s) This is required only by Leibniz) - Stalnaker: and we know that it is necessarily equivalent to the proposition that is expressed by Elvis played the guitar.
This is Leibniz plus bundle theory - Only if no modal properties are mentioned.
Ways a World may be Oxford New York 2003