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David K. Lewis: a thought experiment concerning two omniscient gods (omniscient with respect to propositions). None of them knows who he is because that is not comprehensible in propositions. Self-knowledge is not propositional knowledge. (D.K. Lewis Philosophical Papers Vol. I 1983, p 139ff)
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Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments.

 
Author Concept Summary/Quotes Sources

Robert Stalnaker on Two Omniscient Gods - Dictionary of Arguments

I 275
Gods-Example/Example Two Omniscient Gods/Lewis/Stalnaker: version: one version of the gods example is the one with inverted spectra.
Castor: Castor has the experience ph-red. Knowledge/Castor: Castor knows that red things look ph-red for Castor. And he knows, because of the inversion, that the same things look ph-green for Pollux.
>Inverted spectra
.
Pollux: Pollux has the experience ph-green ((s) with the same object). Experience/problem: Castor does not know if this experience is for him ph-red or ph-green, because he does not know whether red things look for him ph-red or ph-green. If this is supposed to be omniscience, then it does not imply phenomenal distinguishability.
Variant: assuming there is nothing green in the world - then both are in the same situation as Mary and each will remain in this position, even if all came to know which God they are. They do not know what it is like to have this experience.
>Two omniscient Gods/Lewis, >Colour researcher Mary, >Phenomena/Stalnaker.

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Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution. Translations: Dictionary of Arguments
The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition.

Stalnaker I
R. Stalnaker
Ways a World may be Oxford New York 2003


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