@article {Pettigrew:June 2009:0031-8868:239,
	author = "Pettigrew, Richard",
	title = "Aristotle on the Subject Matter of Geometry",
	journal = "Phronesis: A Journal for Ancient Philosophy",
	volume = "54",
	year = "June 2009",
	abstract = "I offer a new interpretation of Aristotle's philosophy of geometry, which he presents in greatest detail in <I>Metaphysics</I> M 3. On my interpretation, Aristotle holds that the points, lines, planes, and solids of geometry belong to the sensible realm, but not in a straightforward way. Rather, by considering Aristotle's second attempt to solve Zeno's Runner Paradox in Book VIII of the <I>Physics</I>, I explain how such objects exist in the sensibles in a special way. I conclude by considering the passages that lead Jonathan Lear to his fictionalist reading of <I>Met</I>. M3,1 and I argue that Aristotle is here describing useful heuristics for the teaching of geometry; he is not pronouncing on the meaning of mathematical talk.",
	pages = "239-260(22)",
	url = "http://www.ingentaconnect.com/content/brill/phr/2009/00000054/00000003/art00002"
	doi = "doi:10.1163/156852809X441340"
}