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Record Nr. |
UNINA9910741175803321 |
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Titolo |
Undecidability, uncomputability, and unpredictability / / Anthony Aguirre, Zeeya Merali, David Sloan, editors |
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Pubbl/distr/stampa |
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Cham, Switzerland : , : Springer, , [2021] |
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©2021 |
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ISBN |
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Descrizione fisica |
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1 online resource (181 pages) |
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Collana |
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Disciplina |
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Soggetti |
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Decidability (Mathematical logic) |
Completeness theorem |
Incompleteness theorems |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Intro -- Preface -- Contents -- 1 Introduction -- Reference -- 2 Undecidability and Unpredictability: Not Limitations, but Triumphs of Science -- 2.1 The Pessimistic View -- 2.2 On Axiomatic Theories and Structural Differentiation -- 2.3 The Physical World: Every Thing Must Go -- 2.4 Ontic Structural Realism -- 2.5 Quantum-Optimistic Conclusions -- References -- 3 Indeterminism and Undecidability -- 3.1 Introduction: Gödel and Bell -- 3.2 Randomness and Its Unprovability -- 3.3 Rethinking Bell's Theorem -- 3.4 Are Deterministic Hidden Variable Theories Deterministic? -- 3.5 Conclusion and Discussion -- References -- 4 Unpredictability and Randomness -- 4.1 Introduction -- 4.2 CA a Closer Look -- 4.3 Conditional Branching -- 4.3.1 Conditional Branching Candidates -- 4.4 Measuring Randomness -- 4.4.1 Random Oracle -- 4.4.2 BCA -- 4.4.3 Distinguishing Chances -- 4.5 Speculations -- References -- 5 Indeterminism, Causality and Information: Has Physics Ever Been Deterministic? -- 5.1 When Did Physics Become Unpredictable? -- 5.2 The ``Orthodox Interpretation'' of Classical Physics -- 5.3 An Alternative, Indeterministic Interpretation of Classical Physics -- 5.3.1 Determinism at Odds with Information Principles -- 5.3.2 ``Finite Information Quantities'' (FIQs) -- 5.3.3 The Classical ``Measurement Problem'' -- 5.4 (In)determinism and Causality -- 5.5 Concluding Remarks -- References -- 6 |
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Undecidability, Fractal Geometry and the Unity of Physics -- 6.1 The Disunity of 20th Century Physics -- 6.2 Chaos and the Undecidable Geometry of Fractal Attractors -- 6.3 Towards a Unification of 21st Century Physics -- 6.3.1 Chaos Theory and Relativity Theory -- 6.3.2 Chaos Theory and Quantum Theory -- 6.3.3 Quantum Theory and General Relativity Theory -- 6.4 Discussion -- References -- 7 A Gödelian Hunch from Quantum Theory -- 7.1 Introduction. |
7.2 A Gödelian Hunch from Quantum Contextuality -- 7.2.1 Counterfactual Undecidability -- 7.2.2 Topological Undecidability -- 7.3 A Gödelian Hunch from the Measurement Problem -- 7.3.1 Wigner's Friend, Universality, Meta-Contextuality and Measurement -- 7.3.2 ``Wigner's Friendifications'' -- 7.3.3 The Heirs of Copenhagen -- 7.4 Conclusion: Is Physics Paradoxical? -- 7.5 Epilogue: A Gödelian Hunch from Time -- References -- 8 Epistemic Horizons: This Sentence Is 1sqrt2(|truerangle + |falserangle) -- 8.1 Introduction: Interpretation Versus Reconstruction -- 8.2 Horizons of Our Understanding -- 8.2.1 Superposition -- 8.2.2 Entanglement -- 8.3 Does This Ring a Bell? -- 8.4 EPistemic HoRizons: Incomplete Quantum Mechanics? -- 8.5 Hardy's Paradox -- 8.6 The Frauchiger-Renner Argument -- 8.7 Conclusion -- References -- 9 Why Is the Universe Comprehensible? -- 9.1 Introduction -- 9.2 Comprehensibility -- 9.3 The Price of Comprehensibility -- 9.4 Limitations -- References -- 10 Noisy Deductive Reasoning: How Humans Construct Math, and How Math Constructs Universes -- 10.1 Introduction -- 10.2 Formal Systems -- 10.3 A Stochastic Mathematical Reasoner -- 10.4 Connections to Actual Mathematical Practice -- 10.4.1 Generating New Research Questions -- 10.4.2 Bayesian Models of Heuristics of Human Mathematicians-General Considerations -- 10.4.3 A Bayesian Justification of Abduction in Mathematical Reasoning -- 10.4.4 A Bayesian Formulation of the Value of Multiple Proof Paths in Mathematical Reasoning -- 10.5 Measures over Multiverses -- 10.6 Future Research Directions -- 10.7 Conclusion -- References -- 11 Computational Complexity as Anthropic Principle: A Fable -- 11.1 Laplace Builds a Demon -- 11.2 The Science that Destroys Demons -- References -- Appendix List of Winners -- First Prizes -- Second Prize -- Third Prizes -- Fourth Prizes. |
Prize for an Interesting Literary Discourse -- Prize for a Creative Approach to the Problem. |
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2. |
Record Nr. |
UNINA9910557389703321 |
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Autore |
Pichini Simona |
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Titolo |
The Challenge Posed by New Synthetic Opioids: Pharmacology and Toxicology |
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Pubbl/distr/stampa |
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Descrizione fisica |
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1 online resource (107 p.) |
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Soggetti |
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Pharmacology |
Science: general issues |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Sommario/riassunto |
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This eBook is a collection of articles from a Frontiers Research Topic. Frontiers Research Topics are very popular trademarks of the Frontiers Journals Series: they are collections of at least ten articles, all centered on a particular subject. With their unique mix of varied contributions from Original Research to Review Articles, Frontiers Research Topics unify the most influential researchers, the latest key findings and historical advances in a hot research area! Find out more on how to host your own Frontiers Research Topic or contribute to one as an author by contacting the Frontiers Editorial Office: frontiersin.org/about/contact |
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