Examples of oxymoron are found both in casual conversations and in literature. Hamlet does not want his mother to be the beloved of his father’s murderer. In everyday conversation, however, people do not use oxymoron to make deep statements like the one above. Therefore, he is of the view that this murder will purge her. Oxymoron is a figure of speech in which two opposite ideas are joined to create an effect.
But since it points to a truth by stating that contradiction it may simply be a form of irony.
We immediately understand from your example that nothing is constant, even though at face value the statement would seem to indicate the exact opposite. [The statement is itself a generalization, yet it points to a truth.] Nothing is impossible.
It consists in the use of a word in such a way that it is capable of more than one application.
The phrase "The only constant is change..." (the original Asimov quote), or the phrase "Change is the only constant," is best described as a simple paradox.
An oxymoron is a figure of speech in which two words with contradictory meanings are placed side-by-side.
Edith Stein Essays - Oxymoron Antithesis
Writers have been using oxymorons for hundreds of years to express humor or irony.
Or, if you are feeling up to a literary debate with everyone and their grandmother, "irony." I wouldn't really call this an oxymoron, because that is usually considered to be a noun phrase instead of a statement.
I would just call it a paradox, because it is a self-referential statement that produces an apparent semantic contradiction.
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