Tag Archives: axiom of foundation

Axiom of Foundation in Zermelo Fraenkel Set Theory

I pointed out, in the earlier page of my blog, that Pat and Brian said in RDF Semantics, “Such ‘membership loops’ might seem to violate the axiom of foundation, one of the axioms of standard (Zermelo-Fraenkel) set theory, which forbids … Continue reading

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Universal Class

In the document of RDF Semantics, the term “universal class” appears only once in the discussion on membership loop. When classes are introduced in RDFS, they may contain themselves. … In particular, this use of a class extension mapping allows … Continue reading

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