Paradoxes and Inconsistent Mathematics
eBook - PDF

Paradoxes and Inconsistent Mathematics

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Paradoxes and Inconsistent Mathematics

About this book

Logical paradoxes – like the Liar, Russell's, and the Sorites – are notorious. But in Paradoxes and Inconsistent Mathematics, it is argued that they are only the noisiest of many. Contradictions arise in the everyday, from the smallest points to the widest boundaries. In this book, Zach Weber uses "dialetheic paraconsistency" – a formal framework where some contradictions can be true without absurdity – as the basis for developing this idea rigorously, from mathematical foundations up. In doing so, Weber directly addresses a longstanding open question: how much standard mathematics can paraconsistency capture? The guiding focus is on a more basic question, of why there are paradoxes. Details underscore a simple philosophical claim: that paradoxes are found in the ordinary, and that is what makes them so extraordinary.

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Yes, you can access Paradoxes and Inconsistent Mathematics by Zach Weber in PDF and/or ePUB format, as well as other popular books in Mathematics & Logic in Mathematics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title
  3. Title page
  4. Copyright information
  5. Dedication
  6. Contents
  7. Preface
  8. Part I What Are the Paradoxes?
  9. Part II How to Face the Paradoxes?
  10. Part III Where Are the Paradoxes?
  11. Part IV Why Are There Paradoxes?
  12. Bibliography
  13. Index