indiscernibility of identicals

The principle that if two objects are absolutely identical then they must be indistinguishable from one another with respect to all of their properties.

One of the fundamental principles governing identity is that of substitutivity—or, as it might well be called, that of indiscernibility of identicals. It provides that, given a true statement of identity, one of its two terms may be substituted for the other in any true statement and the result will be true.

Syn: principle of substitutivity

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