The Incomplete Universe

Totality, Knowledge, and Truth

Bibliographic Data

ID10694694
AuthorsAladdin M Yaqub, Patrick Grim (0000-0002-4340-4289)
Year1995
Volume104
Issue2
Pages339
Publication date1995-04-01
Peer ReviewedYes
Open AccessNo
TypeARTICLE
VenueThe Philosophical Review (JOURNAL)
Journal identifiersISSN: 0031-8108 • E-ISSN: 1558-1470
PublisherJSTOR (PUBLISHER)
DOI10.2307/2186007
OpenAlexW2062411991
LanguageEN
Citations received10

Introduction - some philosphical fragments. Part 1 Apparent lessons of the liar: totality, truth and the liar possible worlds the divine liar possible ways out truth-value gaps, many-valued logics, and strengthened liars the propositional response accepting inconsistency the appeal to hierarchy barwise and etchemendy conclusion. Part 2 Truth, omniscience, and the paradox of the knower: the paradox of the knower the argument the power of the paradox possible ways out propositions and the strengthened knower redundancy theories and operators hierarchy conclusion. Part 3 Epistemic incompleteness: some ideal knowers and the standard Godel result beyond standard systems expressive incompleteness a cantorian generalization of Godel's incompleteness theorem conclusion. Part 4 Classes and quantification - the cantorian argument: there is no set of all truths extensions and applications alternative set theories - a possible way out? the problem without power sets the appeal to quantification a self-reflective problem for the central thesis? conclusion. Part 5 Concluding notes: philosophical fragments within any logic we have ... some twilight speculations

Astronomy · Epistemology · Physics · Universe · Classical Philosophy and Thought · Philosophy · Philosophy and Theoretical Science

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