No, Is P vs Not P would be opposites, as well as lack. You can’t presume a larger logical schema isn’t present in his mathematics, but simultaneously can’t rule it out if it seems applicable to known systems.
Wish ignorant mods would stop being in a rush to move posts, your not the know it all winners you think you are just like James isn’t the mathematician he thinks he is. He is obviously experimenting with something akin.
I don’t think that “opposite of” and “lack of” are necessarily contradictions in terms.
If something is [un]diluted, as in not drinking watered-down beer, lol, that beer does “lack” something - the water.
At the same time, watered-down beer can be considered to be the opposite of pure beer. #-It all depends on how we view things and the degree of such things.
I suppose that “un” can also describe or point to something or someone, the nature of which has changed.
How I love words and prefixes lol but gathering in their meaning can be akin to pulling a wisdom tooth. But with the former we may become the wiser.