Undecidability Uncomputability and Unpredictability The Frontiers Collection by Anthony Aguirre (Editor); Zeeya Merali (editor), David Sloan (editor) 3030703533 9783030703530

Undecidability Uncomputability and Unpredictability The Frontiers Collection Anthony Aguirre (Editor) – Ebook Instant Download/Delivery ISBN(s): 9783030703530,3030703533

Product details:

• ISBN 10:3030703533
• ISBN 13:9783030703530
• Author:Anthony Aguirre (editor), Zeeya Merali (editor), David Sloan (editor)

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?

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