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God and Necessity by Brian Leftow (Hardcover, 2012)

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Thus much discussion of possibility and necessity since the 1960s has focused on the nature and existence (or not) of possible worlds. God and Necessity holds that there are no such things, nor any sort of abstract entity.

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Brian Leftow offers a theory of the possible and the necessary in which God plays the chief role, and a new sort of argument for God's existence. It has become usual to say that a proposition is possible just in case it is true in some 'possible world' and necessary just if it is true in all. Thus much discussion of possibility and necessity since the 1960s has focussed on the nature and existence (or not) of possible worlds. God and Necessity holds that there are no such things, nor any sort of abstract entity. It assigns the metaphysical 'work' such items usually do to God and events in God's mind, and reduces 'broadly logical' to causal modalities, replacing possible worlds in the semantics of modal logic with God and His mental events.