{"product_id":"9783030703561","title":"Undecidability, Uncomputability, and Unpredictability (The Frontiers Collection) (1st ed. 2021. 2022. viii, 180 S. VIII, 180 p. 27 illus., 17 illus. in)","description":"\u003cp\u003eFor 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?\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThis 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. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e \u003cp\u003eIntroduction (\u003ci\u003eAguirre, Merali, Sloan\u003c\/i\u003e).- Undecidability and Unpredictability: Not Limitations, but Triumphs of Science (\u003ci\u003eMarkus Müller).- \u003c\/i\u003eIndeterminism and Undecidability (\u003ci\u003eKlaas Landsman).- \u003c\/i\u003eUnpredictability and Randomness  (\u003ci\u003eRade Vuckovac).- \u003c\/i\u003eIndeterminism, Causality and Information: Has Physics ever been Deterministic? (\u003ci\u003eFlavio Del Santo).- \u003c\/i\u003eUndecidability, Fractal Geometry and the Unity of Physics (\u003ci\u003eTim Palmer)\u003c\/i\u003e\u003ci\u003e.- \u003c\/i\u003eA Gödelian Hunch from Quantum Theory (\u003ci\u003eHippolyte Dourdent).- \u003c\/i\u003eEpistemic Horizons: This Sentence is ..... (\u003ci\u003eJochen Szangolies).- \u003c\/i\u003eWhy is the Universe Comprehensible? (\u003ci\u003eIan Durham).- \u003c\/i\u003eNoisy Deductive Reasoning: How Humans Construct Math, and How Math Constructs Universes (\u003ci\u003eDavid Wolpert, David Kinney).-\u003c\/i\u003e\u003ci\u003e \u003c\/i\u003eComputational Complexity as Anthropic Principle: A Fable (\u003ci\u003eRick Searle).- \u003c\/i\u003eAppendix (\u003ci\u003eAguirre, Merali, Sloan).\u003c\/i\u003e\u003c\/p\u003e","brand":"SPRINGER, BERLIN; SPRINGER INTERNATIONAL PUBLISHING;","offers":[{"title":"Default Title","offer_id":48841241297131,"sku":"00000_00000_00000_00000","price":164.78,"currency_code":"SGD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0758\/4484\/5803\/files\/9783030703561-1.jpg?v=1781717004","url":"https:\/\/kinokuniya.com.sg\/products\/9783030703561","provider":"Books Kinokuniya Singapore","version":"1.0","type":"link"}