I question the premise here. Can young children (say <5) who don't know arithmetic at all learn the axioms from just a bunch of examples? This isn't how childre

I question the premise here. Can young children (say <5) who don't know arithmetic at all learn the axioms from just a bunch of examples? This isn't how children are taught arithmetic; they are taught the rules/algorithm not just a bunch of data-points. Do you have a source on the claim?