identity of indiscernibles

Principle enunciated by G.W. Leibniz that denies the possibility of two objects being numerically distinct while sharing all their nonrelational properties in common, where a relational property is one that involves bearing a relation to another object.More formally, the principle states that if x is not identical to y, then there is some nonrelational property P such that P holds of x and does not hold of y, or that P holds of y and does not hold of x. Equivalently, if x and y share all their nonrelational properties, then x is identical to y. Its converse, the principle of the indiscernibility of identicals (also known as Leibniz's Law), asserts that if x is identical to y, then every nonrelational property of x is a property of y, and vice versa.
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