Citations of:
Aristotle and modern mathematical theories of the continuum
In Demetra SfendoniMentzou & James Brown (eds.), Aristotle and Contemporary Philosophy of Science. Peter Lang (2001)
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An Aristotelian Philosophy of Mathematics breaks the impasse between Platonist and nominalist views of mathematics. Neither a study of abstract objects nor a mere language or logic, mathematics is a science of real aspects of the world as much as biology is. For the first time, a philosophy of mathematics puts applied mathematics at the centre. Quantitative aspects of the world such as ratios of heights, and structural ones such as symmetry and continuity, are parts of the physical world and (...) 