I dunno. I think it was pretty well accepted for a long time that a particle wasn't a wave. I seem to recall Lord Kelvin weighed in pretty heavily on the question, so the idea that it was a contradiction didn't come from me.Any acceptance of an explicit contradiction is mysticism.
You argue for "well accepted" contradictions based on their "utility," but although it may be useful to pretend that these contradictions are true, that does not mean there are true contradictions.
I note also that you call the contradictions "verbal," making language your scapegoat as do many mystics.
I'd call that a verbal or conceptual contradiction. I'm still unclear how wave particle duality works, and I doubt it will be anything other than a fact to me, that doesn't make a lot of sense.
I mean, what about Cantor's ideas that some infinities are larger than others?
How about the sum of the infinite series 1+2+3+....n being -1/12? Does that make a heck of a lot of sense to you? You add positive integers to infinity and it comes out as less than one (heck, less than ZERO). If that isn't an intuitive contradiction in terms, I don't know what is.
Mathematics involves an intriguing interplay between finite and infinite collections and between discrete and continuous structures. Discussing summation methods, Alexander Kharazishvili looks at the fascinating paradoxes of convergent and divergent sequences.
There's no pretense here, and accusing me of some intellectual dishonesty is odd. I think people who pretend they "understand" this stuff are usually faking it, but whatever. Some might not be, but I don't really care. Some things that are logically rigorous simply do not make any sort of intuitive sense. But we accept such things when they become useful for predicting and manipulating empirical, objective reality. The key here is that you have to have a way of modelling the weirdness that isn't just verbal, so that the test can be rigorously carried out.I don't see anything in any religion that suggests that.
And of course the contradictions are verbal. What else would you call them?