A thing’s identity–whether that thing be an abstraction or a concrete–is violated when it is said to be or do two mutually exclusive things at the same time.

(Examples: God is infinite and God is distinctly Himself; man may choose and man is governed by God’s will/natural law; the Big Bang began with an infinitely dense and infinitely hot singularity (what is infinite cannot be valued and thus it cannot be measured, you see, and it also cannot be compared, so it is impossible to claim it “hot” or “dense”–appeals to a thing’s infinite existence preclude appeals to any specific properties); God created everything from nothing (ex nihilo)–nothing by definition cannot beget something–“is not” and “is” are categorical antipodes; time has a beginning (time cannot be subject to itself–logical fallacy); space can be folded (implying that there is space between space which must be mitigated via folding it–again, logical fallacy.

These are just some of my favorite specimens.)