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The logical contingency of identity
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https://hdl.handle.net/20.500.14018/27780
Abstract
I show that intuitive and logical considerations do not justifyintroducing Leibniz’s Law of the Indiscernibility of Identicals inmore than a limited form, as applying to atomic formulas. Once thisis accepted, it follows that Leibniz’s Law generalises to all formulasof the first-order Predicate Calculus but not to modal formulas.Among other things, identity turns out to be logically contingent.
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10.31820/ejap.14.2.1