The Devil in the Details: Asymptotic Reasoning in Explanation, Reduction, and Emergence
Robert Batterman examines a form of scientific reasoning called asymptotic reasoning, arguing that it has important consequences for our understanding of the scientific process as a whole. He maintains that asymptotic reasoning is essential for explaining what physicists call universal behavior. With clarity and rigor, he simplifies complex questions about universal behavior, demonstrating a profound understanding of the underlying structures that ground them. This book introduces a valuable new method that is certain to fill explanatory gaps across disciplines.
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argue argument asymptotic analysis asymptotic domain asymptotic explanation asymptotic limits asymptotic reasoning asymptotic regime Barenblatt Batterman Berry bridge laws buckling causal powers causal-mechanical chapter characterized classical mechanics conception context critical exponents critical phenomena critical point derivation diffraction catastrophe dimensional analysis discussion distinct emergent properties emergentism equation example explanandum exponents fact figure fluid Fodor fold caustic function fundamental genuine given Goldenfeld heat equation instance interest interfering ray sum intermediate asymptotics intertheoretic relations involved jadeite Kim's kind mathematical microscopic model of reduction multiple realizability nature optics parameters patterns perturbation phase space phenomenon philosophical physical physicists possess novel problem quantum mechanics question rainbow ray theory reduced theory relationship renormalization group role self-similar semiclassical shortwave singular limits solution special sciences stability statistical mechanics structures strut temperature theoretic thermodynamics tion understanding unification universal behavior wave and ray wave theory wavefunction why-question
Essays on the Foundations of Mathematics and Logic
Limited preview - 2005
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Revitalizing Causality: Realism about Causality in Philosophy and Social Science
No preview available - 2008