Full Idea
The Power Set Axiom is indispensable for a set-theoretic account of the continuum, ...and in so far as those attempts are successful, then the power-set principle gains some confirmatory support.
Gist of Idea
The Power Set Axiom is needed for, and supported by, accounts of the continuum
Source
Penelope Maddy (Believing the Axioms I [1988], §1.6)
Book Reference
-: 'Journal of Symbolic Logic' [-], p.486
A Reaction
The continuum is, of course, notoriously problematic. Have we created an extra problem in our attempts at solving the first one?