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.