Full Idea
If we learn geometrical truths by intuition, how could this faculty have misled us for so long?
Gist of Idea
If we learn geometry by intuition, how could this faculty have misled us for so long?
Source
Paul Boghossian (Analyticity Reconsidered [1996], §III)
Book Reference
-: 'Nous' [-], p.12
A Reaction
This refers to the development of non-Euclidean geometries, though the main misleading concerns parallels, which involves infinity. Boghossian cites 'distance' as a concept the Euclideans had misunderstood. Why shouldn't intuitions be wrong?