  The account here of Aristotle on the status of mathematical objects will center on five concepts, which Aristotle uses in his discussions: ‘abstraction’ or ‘taking away’ or ‘removal’ or ‘subtraction’ (aphairesis), ‘precision’ (akribeia), ‘as separated’ (hôs kekhôrismenon), ‘qua’ or ‘in the respect that’ (hêi), and ‘intelligible matter’ (noêtikê hylê). Principal sources are the Posterior Analytics, De Anima iii.6-8, Metaphysics iii.2, vi.1, vii.10-11, ix.9, x.1-2, xi.2-3, 7, xiii.1-3, Physics ii.2. 