Full Idea
To the extent that we are justified in accepting Peano Arithmetic we are justified in accepting its consistency, and so we know how to expand the axiom system so as to overcome the limitation [of Gödel's Second Theorem].
Gist of Idea
PA is consistent as far as we can accept, and we expand axioms to overcome limitations
Source
Peter Koellner (On the Question of Absolute Undecidability [2006], 1.1)
Book Reference
-: 'Philosophia Mathematica' [-], p.4
A Reaction
Each expansion brings a limitation, but then you can expand again.