Full Idea
Critics commonly complain that the intuitionist restrictions cripple the mathematician. On the other hand, intuitionist mathematics allows for many potentially important distinctions not available in classical mathematics, and is often more subtle.
Gist of Idea
Critics resent the way intuitionism cripples mathematics, but it allows new important distinctions
Source
Stewart Shapiro (Thinking About Mathematics [2000], 7.1)
Book Reference
Shapiro,Stewart: 'Thinking About Mathematics' [OUP 2000], p.174
A Reaction
The main way in which it cripples is its restriction on talk of infinity ('Cantor's heaven'), which was resented by Hilbert. Since high-level infinities are interesting, it would be odd if we were not allowed to discuss them.