Undecidability, uncomputability, and unpredictability / Anthony Aguirre, Zeeya Merali, David Sloan, editors.
Aguirre, Anthony (Anthony Nicholas), editor.; Merali, Zeeya, editor.; Sloan, David, editor.
2021
QA9.65 .U53 2021
Available Online

Linked e-resources

Linked Resource Online Access
Concurrent users Unlimited
Authorized users Authorized users
Document Delivery Supplied Can lend chapters, not whole ebooks

Details

Title Undecidability, uncomputability, and unpredictability / Anthony Aguirre, Zeeya Merali, David Sloan, editors.
ISBN 9783030703547 (electronic bk.)
3030703541 (electronic bk.)
9783030703530
3030703533
DOI https://doi.org/10.1007/978-3-030-70354-7
Published Cham : Springer, [2021]
Copyright ©2021
Language English
Description 1 online resource : illustrations (some color)
Other Standard Identifiers 10.1007/978-3-030-70354-7 doi
Call Number QA9.65 .U53 2021
Dewey Decimal Classification 511.3
Summary 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.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed August 30, 2021).
Added Author Aguirre, Anthony (Anthony Nicholas), editor.
Merali, Zeeya, editor.
Sloan, David, editor.
Series Frontiers collection. 2197-6619
Available in Other Form Undecidability, uncomputability, and unpredictability.
Linked Resources Online Access
Record Appears in Online Resources > Ebooks
All Resources
Introduction (Aguirre, Merali, Sloan)
Undecidability and Unpredictability: Not Limitations, but Triumphs of Science (Markus Müller)
Indeterminism and Undecidability (Klaas Landsman)
Unpredictability and Randomness (Rade Vuckovac)
Indeterminism, Causality and Information: Has Physics ever been Deterministic? (Flavio Del Santo)
Undecidability, Fractal Geometry and the Unity of Physics (Tim Palmer)
A Gödelian Hunch from Quantum Theory (Hippolyte Dourdent)
Epistemic Horizons: This Sentence is ..... (Jochen Szangolies)
Why is the Universe Comprehensible? (Ian Durham)
Noisy Deductive Reasoning: How Humans Construct Math, and How Math Constructs Universes (David Wolpert, David Kinney)
Computational Complexity as Anthropic Principle: A Fable (Rick Searle)
Appendix (Aguirre, Merali, Sloan).

Browse Subjects

Show more subjects...

Statistics

from
to
Export