The Logical Contingency of Identity

TitleThe Logical Contingency of Identity
Publication TypeWorking Paper
AuthorsBen-Yami, H.
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ABSTRACT. I show that intuitive and logical considerations do not justify introducing Leibniz’s Law of the Indiscernibility of Identicals in more than a limited form, as applying to atomic formulas. Once this is accepted, it follows that Leibniz’s Law generalises to all formulas of the first-order Predicate Calculus but not to modal formulas. Among other things, identity turns out to be logically contingent.

KEYWORDS. Leibniz’s Law; indiscernibility of identicals; identity; necessity; contingency

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