The Frontiers Collection

Undecidability, Uncomputability, and Unpredictability

Editors: Aguirre, Anthony, Merali, Zeeya, Sloan, David (Eds.)

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  • Published in cooperation with the renowned physics "think-tank" Foundational Questions Institute, FQXi
  • Presents specially reworked versions of the prize-winning essays from among more than 200 submissions
  • Contributors include top scientists, philosophers and thought leaders
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eBook 58,84 €
price for Spain (gross)
  • ISBN 978-3-030-70354-7
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Hardcover 72,79 €
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  • ISBN 978-3-030-70353-0
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About this book

For a brief time in history, it was possible to imagine that a sufficiently advanced intellect could, given sufficient time and resources, in principle understand how to mathematically prove everything that was true. They could discern what math corresponds to physical laws, and use those laws to predict anything that happens before it happens. That time has passed. Gödel’s undecidability results (the incompleteness theorems), Turing’s proof of non-computable values, the formulation of quantum theory, chaos, and other developments over the past century have shown that there are rigorous arguments limiting what we can prove, compute, and predict. While some connections between these results have come to light, many remain obscure, and the implications are unclear. Are there, for example, real consequences for physics — including quantum mechanics — of undecidability and non-computability? Are there implications for our understanding of the relations between agency, intelligence, mind, and the physical world?

This book, based on the winning essays from the annual FQXi competition, contains ten explorations of Undecidability, Uncomputability, and Unpredictability. The contributions abound with connections, implications, and speculations while undertaking rigorous but bold and open-minded investigation of the meaning of these constraints for the physical world, and for us as humans.​

Table of contents (11 chapters)

Table of contents (11 chapters)

Buy this book

eBook 58,84 €
price for Spain (gross)
  • ISBN 978-3-030-70354-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 72,79 €
price for Spain (gross)
  • ISBN 978-3-030-70353-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Undecidability, Uncomputability, and Unpredictability
Editors
  • Anthony Aguirre
  • Zeeya Merali
  • David Sloan
Series Title
The Frontiers Collection
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-70354-7
DOI
10.1007/978-3-030-70354-7
Hardcover ISBN
978-3-030-70353-0
Series ISSN
1612-3018
Edition Number
1
Number of Pages
VIII, 180
Number of Illustrations
10 b/w illustrations, 17 illustrations in colour
Topics