A great personal attack instead of answering the questions or discussing the topic.
I would report your post but I like to see my "opponents" emptiness on display...
You know damned well, and you knew damned well before you even typed it, that the validity of mathematics is self-contained. Mathematical validity is not based on whether the formulas describe the real world. You already knew that before you even touched a key on your keyboard. I have seen `non-euclidean geometry troll line`
used seventy five thousand times on the internet by trolls such as yourself. You are not doing anything new here. I will repeat this to you, to anyone else on this forum, and to any moderator examining my "reported" posts.
Yes, you can use the discipline of mathematics to bait philosophers and drag them into a troll-baited net and ensnare them. In the innards of math, "truth" is literally , in all ways, equal to the construction of a proof that shows a theorem follows from premises. That's dry and `mechanical` to philosophers, but it is absolutely the case in practice. (philosophers prefer their "truth" to be enigmatic, ephemeral, difficult, and sexy. Within math, truth is none of those things.).
Another topic which can be used to bait and trap philosophers is the topic of Intuitionistic Logic. I saw a troll use it to explosive effect on newsgroups in the 1990s. He even dragged me into a 30-post back-and-forth thread before I realized what he was doing. Just like you have done, he never outwardly announced
that he was using arguments from Intuitionistic Logic, because he carefully calculated that he was interacting with people who had never heard of it. Just as you have done with non-euclidean geometry in this very thread. You are using tactics from the first chapter of the Internet Trolling Handbook (I'm speaking metaphorically).
So go ahead, skakos. Report my posts whenever you like, to whomever you like. I will repeat exactly what I have said here to them. Go ahead. Be my guest.