Approaching Infinity

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.

Michael Huemer is Professor of Philosophy at the University of Colorado at Boulder, USA, where he has worked since 1998. He is the author of Skepticism and the Veil of Perception and Ethical Intuitionism, as well as more than 40 articles in ethics, epistemology, political philosophy, and metaphysics.