The Fact Semantics for Ramified Type Theory and the Axiom of Reducibility

Notre Dame Journal of Formal Logic 48 (2):237-251 (2007)
This paper uses an atomistic ontology of universals, individuals, and facts to provide a semantics for ramified type theory. It is shown that with some natural constraints on the sort of universals and facts admitted into a model, the axiom of reducibility is made valid
Keywords Bertrand Russell   higher-order logic   logicism
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