Full Idea
The intuitive proposal is the essential number theoretic truths are precisely the logical consequences of the Peano axioms, ...but the notion of consequence is a semantic one...and it is not obvious that we possess a semantic notion of the requisite kind.
Gist of Idea
Number truths are said to be the consequence of PA - but it needs semantic consequence
Source
Crispin Wright (Frege's Concept of Numbers as Objects [1983], Intro)
Book Reference
Wright,Crispin: 'Frege's Conception of Numbers' [Scots Philosophical Monographs 1983], p.-9
A Reaction
(Not sure I understand this, but it is his starting point for rejecting PA as the essence of arithmetic).