The Anselm-style formulation is either circular or unsound, depending on what is meant by “I can conceive of a GCB that exists both in the mind and in reality“. The Plantinga-like formulation is circular: it argues that the greatest possible being (GPB) exists in every possible world, since otherwise it wouldn't be as great as the GPB that exists in every possible world. [Note: there are ways of giving a similar argument without circularity, but those ways controversially assert the possibility of a being
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