Anselm's concept of God as that than which nothing greater can be conceived entails aseity, since a dependent being is conceivably surpassed by an independent one of equal attributes.

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Anselm(the statement refers to his philosophical tradition): An 11th-century monk and philosopher who created a famous argument trying to prove God exists just by thinking about what God must be like.
Aseity(a key divine attribute in classical theism): A technical term (from Latin) meaning absolute independence or self-sufficiency—the quality of not needing anything outside yourself to exist or function.
That than which nothing greater can be conceived(Anselmian formulation referenced in the passage): A conception of a being whose correct characterization must include existence, since existence is a greatness-contributing predicate.
conceivably surpassed(used to explain why a dependent being cannot be the greatest possible being): Something that, in theory or by imagination, could be beaten or outdone by something else.

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