Approaching Infinity

Huemer, M.

Approaching Infinity addresses seventeen paradoxes of the infinite, most of which have no generally accepted solutions. The book addresses these paradoxes using a new theory of infinity, which entails that an infinite series is uncompletable when it requires something to possess an infinite intensive magnitude. Along the way, the author addresses the nature of numbers, sets, geometric points, and related matters.

The book addresses the need for a theory of infinity, and reviews both old and new theories of infinity. It discussing the purposes of studying infinity and the troubles with traditional approaches to the problem, and concludes by offering a solution to some existing paradoxes.

Details

Published by: Palgrave Macmillan

Publication Date: 2016-03-14

Format: Paperback

ISBN-13: 9781137560865

DOI: 10.1057/9781137560872

Dimensions: 216cm x140cm

Pages: 275