Th e pluralism of Greek ‘mathematics’ 309
Burkert , W. ( 1972 ) Lore and Science in Ancient Pythagoreanism. Cambridge, MA.
Burnyeat , M. F. ( 2000 ) ‘ Plato on why mathematics is good for the soul ’, in
Mathematics and Necessity , ed. T. Smiley. Oxford : 1 –81.
Cuomo , S. ( 2000 ) Pappus of Alexandria and the Mathematics of Late Antiquity.
Cambridge.
( 2001 ) Ancient Mathematics. London.
Hankinson , R. J. ( 1991 ) ‘ Galen on the foundations of science ’, in Galeno: Obra,
Pensamiento e Infl uencia , ed. J. A. López Férez. Madrid : 15 –19.
Jones , A , ( 1994 ) ‘ Peripatetic and Euclidean theories of the visual ray ’, Physis
31 : 47 –76.
Knorr , W. R. ( 1981 ) ‘ On the early history of axiomatics: the interaction of
mathematics and philosophy in Greek antiquity ’, in Th eory Change, Ancient
Axiomatics and Galileo’s Methology , ed. J. Hintikka, D. Gruender and
E. Agazzi. Dordrecht : 145 –86.
( 1986 ) Th e Ancient Tradition of Geometric Problems. Boston, MA.
Lear , J. ( 1982 ) ‘ Aristotle’s philosophy of mathematics ’, Philosophical Review
91 : 161 –92.
Lloyd , G. E. R. ( 1996 ) Aristotelian Explorations. Cambridge.
( 2006 a) ‘ Th e alleged fallacy of Hippocrates of Chios ’, in G. E. R. Lloyd ,
Principles and Practices in Ancient Greek and Chinese Science. Aldershot :
ch. vii. (Originally published in 1987 in Apeiron 20 : 103 –83.)
( 2006 b) ‘ Th e pluralism of intellectual life before Plato ’, in G. E. R. Lloyd ,
Principles and Practices in Ancient Greek and Chinese Science. Aldershot :
ch. x. (originally published as ‘Le pluralisme de la vie intellectuelle avant
Platon’, in Qu’est-ce que la philosophie présocratique? , ed. A. Laks and C.
Louguet (2002). Lille: 39 –53.)
( 2006 c) ‘ Mathematics as model of method in Galen ’, in G. E. R. Lloyd , Principles
and Practices in Ancient Greek and Chinese Science. Aldershot : ch. v.
(Originally published in Philosophy and the Sciences in Antiquity , ed.
R. W. Sharples (2005). Aldershot: 110 –30.)
Mendell , H. ( 1998 ) ‘ Making sense of Aristotelian demonstration ’, Oxford Studies in
Ancient Philosophy 16 : 161 –225.
Mueller , I. ( 1982 ) ‘ Aristotle and the quadrature of the circle ’, in Infi nity and Continuity
in Ancient and Medieval Th ought , ed. N. Kretzmann. Ithaca, NY : 146 –64.
Netz , R. ( 1999 ) Th e Shaping of Deduction in Greek Mathematics.
Cambridge.
( 2004 ) Th e Transformation of Mathematics in the Early Mediterranean World.
Cambridge.
( 2009 ) Ludic Proof. Cambridge.
Smith , A. M. ( 1981 ) ‘ Saving the appearances of the appearances: the foundations
of classical geometrical optics ’, Archive for History of Exact Sciences
24 : 73 –99.