Titlebook: Undecidability, Uncomputability, and Unpredictability; Anthony Aguirre,Zeeya Merali,David Sloan Book 2021 The Editor(s) (if applicable) an

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愛國者

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Indeterminism, Causality and Information: Has Physics Ever Been Deterministic?,solute certainty, independently of any interpretations. It also tells that it was quantum mechanics that introduced fundamental indeterminacy into physics. We show that there exist alternative stories to be told in which classical mechanics, too, can be interpreted as a fundamentally indeterministic

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cultivated

,A G?delian Hunch from Quantum Theory,res an over-determination—if the sentence is true then it is false, if it is false then it is true—the “Liar” leads to undecidability, the impossibility to decide whether the sentence is true or false.

OVERT

Epistemic Horizons: This Sentence Is ,it was shown that Lawvere’s theorem, which forms the categorical backdrop to phenomena such as G?delian incompleteness, Turing undecidability, Russell’s paradox and others, applied to a measurement context, yields bounds on the maximum knowledge that can be obtained about a system, which produces ma

Ambiguous

Dedication

Noisy Deductive Reasoning: How Humans Construct Math, and How Math Constructs Universes,, whether or not a given formula is deemed a theorem in some axiomatic system is not a matter of certainty, but is instead governed by a probability distribution. We then show that this framework gives a compelling account of several aspects of mathematical practice. These include: 1) the way in whi

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