It is commonplace to formalize propositions involving essential properties of objects in a language containing modal operators and quantifiers. Assuming David Lewis’s counterpart theory as a semantic framework for quantified modal logic, I will show that certain statements discussed in the metaphysics of modality de re, such as the sufficiency condition for essential properties, cannot be faithfully formalized. A natural modification of Lewis’s translation scheme seems to be an obvious solution but is not acceptable for various reasons. Consequently, the only (...) safe way to express some intuitions regarding essential properties is to use directly the language of counterpart theory without modal operators. (shrink)

The minimal God exemplifies essential omnipotence, omniscience, and moral perfection, but none of the other properties of the traditional God. I examine the consequences of the minimal God in augmented S5, S4, and Kρσ. The metaphysical consequences for the minimal God in S5 include the impossibility that God—or any other object—might acquire, lose, or exchange an essential property. It is impossible that an essentially divine being might become essentially human, for instance. The epistemological consequences include the impossibility of agnosticism—it is (...) impossible that P(◻︎FG |E) = P(~◻︎FG| E). Indeed, every weaker forms of agnosticism are also impossible—it is impossible that P(◻︎FG |E) = n, n(0 < n < 1). The metaphysical and epistemological consequences for the minimal God in S4 are equally untenable. I show that we can avoid all of these unwelcome epistemological consequences for the minimal God in Kρσ. But Kρσ has some extraordinary metaphysical consequences for the minimal God. All of the problems for the minimal God generalize to the maximal God. (shrink)