01938nam 2200445 450 00001611120050718115600.00-8247-8545-220030902d1991----km-y0itay0103----baengUSSemigroup theory and evolution equationsthe second international conferenceedited by Philippe Clément, Enzo Mitidieri, Ben de PagterNew York [etc.]Marcel Dekkerc1991XI, 525 p.26 cm.Lecture notes in pure and applied mathematics1352001Lecture notes in pure and applied mathematicsGruppi (Matematica)TeoriaCongressiEquazioni alle derivate parzialiCongressi512.2(21. ed.)Algebra, teoria dei numeri. Gruppi e teoria dei gruppi20MxxGroup theory and generalizations. Semigroups35-06Partial differential equations. Proceedings, conferences, collections, etc.Clément,PhilippeMitidieri,EnzoPagter,Ben : deInternational conference on trends in semigroup theory and evolution equations<2.; 1989; Department of Technical Mathematics and Informatics of the Delft University of Technology>ITUniversità della Basilicata - B.I.A.RICAunimarc000016111Semigroup theory and evolution equations82066UNIBASMONSCISCIENZEEXT0030120030902BAS011704EXT0030120030902BAS01170620050601BAS011755batch0120050718BAS01105220050718BAS01111220050718BAS01114220050718BAS011156BAS01BAS01BOOKBASA5Dipartimento MatematicaGENCollezione generaleMAT1256M12562003090251Riservati04231nam 22006015 450 991076757990332120251008142012.09783031334481303133448510.1007/978-3-031-33448-1(MiAaPQ)EBC30951812(Au-PeEL)EBL30951812(CKB)28863490800041(DE-He213)978-3-031-33448-1(EXLCZ)992886349080004120231116d2023 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierTypicality Reasoning in Probability, Physics, and Metaphysics /by Dustin Lazarovici1st ed. 2023.Cham :Springer International Publishing :Imprint: Palgrave Macmillan,2023.1 online resource (380 pages)New Directions in the Philosophy of Science,2947-6836Print version: Lazarovici, Dustin Typicality Reasoning in Probability, Physics, and Metaphysics Cham : Springer International Publishing AG,c2023 9783031334474 1. Introduction -- Part I: Probability -- 2. Typicality in Probability Theory -- 3. Cournot’s Principle -- 4. A Typicality Theory of Probability -- 5. The Mentaculus: Typicality versus Humean Chances -- 6. The Structure of Typicality -- Part II: Physics -- 7. From the Universe to Subsystems -- 8. Boltzmann’s Statistical Mechanics -- 9. It’s Complicated: The Relationship of Physics and Mathematics -- 10. Boltzmann Equation and the H-theorem.-11. Past Hypothesis and the Arrow of Time.-12. Causality and the Arrow of Time.-13. Quantum Mechanics -- Part III: Beyond Physics.-14. Other Applications of Typicality.-15. Special Science Laws.-16. Typicality and the Metaphysics of Laws -- Appendix A Time-reversal Invariance -- Appendix B Proof of Theorems.This book provides a comprehensive investigation into the concept of typicality and its significance for physics and the philosophy of science. It identifies typicality as a fundamental way of reasoning, central to how natural laws explain and are tested against phenomena. The book discusses various applications of typicality to foundational questions in physics and beyond.These include: a unified interpretation of objective probabilities in classical mechanics and quantum mechanics a detailed discussion of Boltzmann's statistical mechanics, entropy, and the second law of thermodynamics a novel account of the asymmetry of causation and the arrow of time Finally, the book turns to the question: "What are laws of nature"? It argues that typicality extends to a powerful way of reasoning in metaphysics that can and should inform our commitments about the fundamental ontology of the world. On this basis, it develops an argument against the Humean best system account, according to which laws of nature are merely an efficient summary of contingent regularities. Dustin Lazarovici studied physics and mathematics at the University of Munich. He holds a PhD in mathematics from the University of Munich and a PhD in philosophy from the University of Lausanne. He is currently an Assistant Professor for philosophy of physics and philosophy of science at the Technion – Israel Institute of Technology. .New Directions in the Philosophy of Science,2947-6836PhysicsPhilosophyMetaphysicsMathematicsPhilosophyPhilosophy of PhysicsMetaphysicsPhilosophy of MathematicsPhilosophical Foundations of Physics and AstronomyPhysicsPhilosophy.Metaphysics.MathematicsPhilosophy.Philosophy of Physics.Metaphysics.Philosophy of Mathematics.Philosophical Foundations of Physics and Astronomy.530.01Lazarovici Dustin1207418MiAaPQMiAaPQMiAaPQBOOK9910767579903321Typicality Reasoning in Probability, Physics, and Metaphysics3655824UNINA