The idea of universal grammar is that it is the portion of human language that is hardcoded into the genetics of humans. We would not expect other species to have the same universal grammar that humans do.
Re:Is the Schrödinger Equation True?
by eyelidlessness on Monday January 11, 2021 @07:14PM
(#25740338)
The notion is that there’s a commonality, the presupposition is that it’s genetic. But without knowing the mechanics of those genetics I don’t think you could say one way or another whether the expectation would be limited to humans.
If that’s the case, the property you’re describing belongs to abstract thought and language generally, of which mathematics is a subset.