IIRC (edit: and as alluded in the article) there are languages which count as "one, two, three, many".

But one two and three are also innate (immediately recognizable) quantities are they not? So does a person using such a number system actually count, or recognize and categorize only?

This Lexicon Valley podcast goes into the “having a vocabulary for large numbers is actually weird” thing.

https://slate.com/podcasts/lexicon-valley/2021/03/english-la...

Great addition (no pun intended), thanks.

The piraha language is probably the most famous non-counting language. They appear to recognise - https://slate.com/human-interest/2013/10/piraha-cognitive-an...

Depends on context maybe, Koreans have different number names depending on context.

One two infinity