[lmm]

Nonsense. You teach someone arithmetic by showing them concrete instances where it applies, counting apples or sticks or so on. You demonstrate that the abstract thing exists because there's something the same about putting two apples and two more apples together or putting two stones and two more stones together, and by observing one you can learn something about the other.

[gambler]

"You teach someone arithmetic by showing them concrete instances where it applies [...]"

What do you suppose the article above is doing?

[lmm]

I don't think the article makes any claim to objectivity.