Nordic Journal of Philosophical Logic 5 (1):25-37 (2000)
AbstractRussell's "new contradiction" about "the totality of propositions" has been connected with a number of modal paradoxes. M. Oksanen has recently shown how these modal paradoxes are resolved in the set theory NFU. Russell's paradox of the totality of propositions was left unexplained, however. We reconstruct Russell's argument and explain how it is resolved in two intensional logics that are equiconsistent with NFU. We also show how different notions of possible worlds are represented in these intensional logics
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References found in this work
The Possible and the Actual: Readings in the Metaphysics of Modality.Michael J. Loux (ed.) - 1979 - Cornell University Press.
Logical Investigations of Predication Theory and the Problem of Universals.Nino B. Cocchiarella - 1990 - Linguistics and Philosophy 13 (2):265-271.
Citations of this work
Russell, His Paradoxes, and Cantor's Theorem: Part I.Kevin C. Klement - 2010 - Philosophy Compass 5 (1):16-28.
The Senses of Functions in the Logic of Sense and Denotation.Kevin C. Klement - 2010 - Bulletin of Symbolic Logic 16 (2):153-188.
Cocchiarella’s Formal Ontology and the Paradoxes of Hyperintensionality.Gregory Landini - 2009 - Axiomathes 19 (2):115-142.
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