Full Idea
The platonist destroys the whole essence of infinity, which lies in the conception of a structure which is always in growth, precisely because the process of construction is never completed.
Gist of Idea
Platonists ruin infinity, which is precisely a growing structure which is never completed
Source
Michael Dummett (Elements of Intuitionism [1977], p.57), quoted by Thomas J. McKay - Plural Predication
Book Reference
Lavine,Shaughan: 'Understanding the Infinite' [Harvard 1994], p.168
A Reaction
I don't warm to intuitionism, but I warm to this conception of infinity. Completed infinities are convenient reifications for mathematicians.