"new kind of math"
Well I think the point is there is no "new kind of math". There's just types of math we've discovered and what we haven't. No new math is created, just found.
Where does this mathematics exist before we discover it?
I know of no realm where mathematical objects live except human minds.
No, it seems clear to me that mathematics is a creation of our minds.
Does that correction matter, tho…? Discovered or created, it would be new to us, and is clearly not easy to reach!
The map is not the territory.