Philosophy of Mathematics from the Pythagoreans to Euclid

Name: Philosophy of Mathematics from the Pythagoreans to Euclid
Brand: Cambridge University Press

Cambridge University Press

Philosophy of Mathematics from the Pythagoreans to EuclidAuthor(s): Barbara M. Sattler\nFormat: Paperback\nPublisher: Cambridge University Press, United Kingdom\nImprint: Cambridge University Press\nISBN-13: 9781009114066, 978-1009114066\nSynopsis\nThis Element looks at the very beginning of the philosophy of mathematics in Western thought. It covers the first reflections on attempts to untie mathematics from its practical usage in administration, commerce, and land-surveying and discusses the first ideas to see mathematical structures as constituents underlying the physical world in the Pythagoreans. The first two sections focus on the epistemic status of mathematical knowledge in relation to philosophical knowledge and on the various ontological positions ancient Greek philosophers in early and classical times ascribe to mathematical objects from independent and separate entities to mere abstractions and idealisations. Section 3 discusses the paradigmatic role mathematical deducti.