A semantical account of the vicious circle principle

Notre Dame Journal of Formal Logic 20 (3):595-598 (1979)
Here we give a semantical account of propositional quantification that is intended to formally represent Russell’s view that one cannot express a proposition about "all" propositions. According to the account the authors give, Russell’s view bears an interesting relation to the view that there are no sets which are members of themselves.
Keywords Logic  proposition  quantification  self reference  vicious circle
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DOI 10.1305/ndjfl/1093882664
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