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Ideas for 'fragments/reports', 'The Gathas (seventeen hymns)' and 'Analyticity Reconsidered'

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12. Knowledge Sources / E. Direct Knowledge / 2. Intuition

9374	If we learn geometry by intuition, how could this faculty have misled us for so long? [Boghossian]
	Full Idea: If we learn geometrical truths by intuition, how could this faculty have misled us for so long?
	From: Paul Boghossian (Analyticity Reconsidered [1996], §III)
	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?