| 书目名称 | Undecidability, Uncomputability, and Unpredictability | | 编辑 | Anthony Aguirre,Zeeya Merali,David Sloan | | 视频video | | | 概述 | 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 submiss | | 丛书名称 | The Frontiers Collection | | 图书封面 |  | | 描述 | .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 | | 出版日期 | Book 2021 | | 关键词 | award-winning essays; FQXi essays; Randomness in physical theory; what is computability?; predictability | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-70354-7 | | isbn_softcover | 978-3-030-70356-1 | | isbn_ebook | 978-3-030-70354-7Series ISSN 1612-3018 Series E-ISSN 2197-6619 | | issn_series | 1612-3018 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 19:18:30
