The Continuous, the Discrete and the Infinitesimal in Philosophy and Mathematics

• Main Author: Bell, John L. (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: The Western Ontario Series in Philosophy of Science, A Series of Books in Philosophy of Science, Methodology, Epistemology, Logic, History of Science, and Related Fields, 82
• Subjects: Mathematics-Philosophy.; Philosophy.; Mathematical logic.; Mathematical analysis.; Analysis (Mathematics).; Differential geometry.; Mathematics.; History.; Philosophy of Mathematics.; History of Philosophy.; Mathematical Logic and Formal Languages.; Analysis.; Differential Geometry.; History of Mathematical Sciences.

This book explores and articulates the concepts of the continuous and the infinitesimal from two points of view: the philosophical and the mathematical. The first section covers the history of these ideas in philosophy. Chapter one, entitled 'The continuous and the discrete in Ancient Greece, t...