200797

Palgrave Macmillan, Basingstoke

2016

275 Pages

ISBN 978-1-137-56086-5

Approaching infinity

Michael Huemer

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. Itdiscussing the purposes of studying infinity and the troubles with traditional approaches to the problem, and concludes by offering a solution to some existing paradoxes.

Publication details

Full citation:

Huemer, M. (2016). Approaching infinity, Palgrave Macmillan, Basingstoke.

Table of Contents

The prevalence of the infinite

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3-8

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Six infinite regresses

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9-16

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Impossible infinite series

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41-48

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Actual and potential infinities

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49-70

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The Cantorian orthodoxy

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71-90

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Philosophical preliminaries

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93-107

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Sets

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108-118

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Numbers

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119-142

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Infinity

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143-161

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Space

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162-175

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Some paradoxes mostly resolved

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176-228

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Assessing infinite regress arguments

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229-246

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Conclusion

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247-260

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