Context:
I'm a fan of different kinds of logic. I'm conflicted about whether different logics actually exist beyond, say, a philosophical oddity.
The Question:
Are quasi-sets (and therefore Schrödinger logic(s)) studied by mathematicians or are they purely in the domain of philosophers?
Clarifying Thoughts:
Aren't mathematicians philosophers in some sense?
Well, yes, and if they study this stuff, they're set theorists and/or logicians, probably, so even more so than others.
So, what am I really asking?
I am wondering - despite my better judgement (due to experience, see the downvotes) - about how "legitimate" quasi-sets are as actual, reputable mathematics.
I have Wikipedia and some articles I don't understand yet, readily available on Google scholar. This is niche stuff, I suppose, so citations aren't the strongest indication.
Why the proxy question, then?
Because mathematics is what I am trained in.
Motivation:
I don't want to end up a crank by studying things that might be questionable on a superficial level without due caution.
I care about quality questions. If this gets shot down as a poor question, I'm sorry, but I hope I could understand this stuff better either way.
Thank you.
