Quantity and number

In Daniel D. Novotný & Lukáš Novák (eds.), Neo-Aristotelian Perspectives in Metaphysics. New York, USA: Routledge. pp. 221-244 (2014)

Authors
James Franklin
University of New South Wales
Abstract
Quantity is the first category that Aristotle lists after substance. It has extraordinary epistemological clarity: "2+2=4" is the model of a self-evident and universally known truth. Continuous quantities such as the ratio of circumference to diameter of a circle are as clearly known as discrete ones. The theory that mathematics was "the science of quantity" was once the leading philosophy of mathematics. The article looks at puzzles in the classification and epistemology of quantity.
Keywords quantity  number  aristotelian realism
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References found in this work BETA

The Indispensability of Mathematics.Mark Colyvan - 2001 - Oxford University Press.
Mathematical Truth.Paul Benacerraf - 1973 - Journal of Philosophy 70 (19):661-679.
Realism in Mathematics.Penelope MADDY - 1990 - Oxford University Prress.

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