Full Idea
Even if spatial intuition provides a little help in the heuristics of four-dimensional geometry, intuition is an outright hindrance for five-dimensional geometry and beyond.
Gist of Idea
Intuition is an outright hindrance to five-dimensional geometry
Source
Stewart Shapiro (Philosophy of Mathematics [1997], 5.2)
Book Reference
Shapiro,Stewart: 'Philosophy of Mathematics:structure and ontology' [OUP 1997], p.150
A Reaction
One might respond by saying 'so much the worse for five-dimensional geometry'. One could hardly abolish the subject, though, so the point must be taken.