Philosophy of Mathematics and Deductive Structure in Euclid's Elements - Ian Mueller

Title: Philosophy of Mathematics and Deductive Structure in Euclid's Elements

Author: Ian Mueller

Date: 2013-01-03

Philosophy of Mathematics and Deductive Structure in Euclid's Elements - Ian Mueller

A survey of Euclid's Elements, this text provides an understanding of the classical Greek conception of mathematics. It offers a well-rounded perspective, examining similarities to modern views as well as differences. Rather than focusing strictly on historical and mathematical issues, the book examines philosophical, foundational, and logical questions.
Although comprehensive in its treatment, this study represents a less cumbersome, more streamlined approach than the classic three-volume reference by Sir Thomas L. Heath (also available from Dover Publications). To make reading easier and to facilitate access to individual analyses and discussions, the author has included helpful appendixes. These list special symbols and additional propositions, along with all of the assumptions and propositions of the Elements and notations of their discussion within this volume.