...demonstration such features as the triangle's being right-angled or isosceles. This is possible because a man "may consider a figure merely as triangular, without...qualities of the angles or relations of the sides" (ibid., §16). But if this account is understood as addressing the problem of empirical universality,...

...Human Knowledge, Introduction, I 16, in which he concludes "And here it must be acknowledged that a man may consider a figure merely as triangular, without...attending to the particular qualities of the angles. 01 relations of the sides. So far he may abstract; but this will never prove that he can frame an generalization,...

...Plainly it would have had very little effect on Bishop Berkeley: ... it must be acknowledged that a man may consider a figure merely as triangular, without...abstract general inconsistent idea of a triangle. In like manner we may consider Peter so far forth as man, or so far forth as animal, without framing...

...response to Locke's account of abstraction, Berkeley writes, And here it must be acknowledged, that a man may consider a figure merely as triangular, without...qualities of the angles or relations of the sides. ... we may consider Peter so far forth as man, or so far forth as animal without framing the aforementioned...

...qualities which it is impossible should exist so separated." But in another passage he concedes, " A man may consider a figure merely as triangular, without...or relations of the sides. So far he may abstract." Mill is very full and decided in recognizing the distinction of things and their attributes as the...