Full Idea
Cantor (in his exploration of infinities) pushed the bounds of conceivability further than anyone before him. To discover what is conceivable, we have to enquire into the concept.
Gist of Idea
Infinities expand the bounds of the conceivable; we explore concepts to explore conceivability
Source
report of George Cantor (works [1880]) by Michèle Friend - Introducing the Philosophy of Mathematics 6.5
Book Reference
Friend,Michèle: 'Introducing the Philosophy of Mathematics' [Acumen 2007], p.145
A Reaction
This remark comes during a discussion of Husserl's phenomenology. Intuitionists challenge Cantor's claim, and restrict what is conceivable to what is provable. Does possibility depend on conceivability?