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The Philosophy of Rudolf Carnap Pseudo Problems in Philosophy : The rejection of metaphysics using the analytic / synthetic dichotomy and the verification principle

Entities A particular source of opposition to Carnap's semantic methods arises from the use of abstract entities such as classes, properties, and numbers, many philosphers feeling that such use depends upon demonstration that these abstract entities "do actually exist". Carnap regarded such questions as metaphysical and hence senseless, but they were raised by anti-metaphysical empiricists. Carnap's paper "Empiricism, Semantics and Ontology" ([Carnap50] ) describes his position in repect of abstract objects. It introduces the distinction between internal and external ontological questions.