Approaching Infinity

  • Michael Huemer

Table of contents

  1. Front Matter
    Pages i-xiii
  2. The Need for a Theory of Infinity

    1. Front Matter
      Pages 1-1
    2. Michael Huemer
      Pages 3-8
    3. Michael Huemer
      Pages 9-16
    4. Michael Huemer
      Pages 17-38
  3. Old Theories of Infinity

    1. Front Matter
      Pages 39-39
    2. Michael Huemer
      Pages 49-70
    3. Michael Huemer
      Pages 71-90
  4. A New Theory of Infinity and Related Matters

    1. Front Matter
      Pages 91-91
    2. Michael Huemer
      Pages 93-107
    3. Michael Huemer
      Pages 108-118
    4. Michael Huemer
      Pages 119-142
    5. Michael Huemer
      Pages 143-161
    6. Michael Huemer
      Pages 162-175
    7. Michael Huemer
      Pages 176-228
    8. Michael Huemer
      Pages 229-246
    9. Michael Huemer
      Pages 247-260
  5. Back Matter
    Pages 261-275

About this book

Introduction

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.

Keywords

metaphysics philosophy of mathematics infinite space time numbers sets Physics infinity logic mathematics philosophy physics truth

Authors and affiliations

  • Michael Huemer
    • 1
  1. 1.University of ColoradoBoulderUSA

Bibliographic information

  • DOI https://doi.org/10.1057/9781137560872
  • Copyright Information The Editor(s) (if applicable) and The Author(s) 2016
  • Publisher Name Palgrave Macmillan, London
  • eBook Packages Religion and Philosophy
  • Print ISBN 978-1-137-56086-5
  • Online ISBN 978-1-137-56087-2
  • About this book