Asymptotics, reduction and emergence

British Journal for the Philosophy of Science 55 (3):435-479 (2004)
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Abstract

All the major inter-theoretic relations of fundamental science are asymptotic ones, e.g. quantum theory as Planck's constant h 0, yielding (roughly) Newtonian mechanics. Thus asymptotics ultimately grounds claims about inter-theoretic explanation, reduction and emergence. This paper examines four recent, central claims by Batterman concerning asymptotics and reduction. While these claims are criticised, the discussion is used to develop an enriched, dynamically-based account of reduction and emergence, to show its capacity to illuminate the complex variety of inter-theory relationships in physics, and to provide a principled resolution to such persistent philosophical problems as multiple realisability and the nature of the special sciences. Introduction Exposition Examination I: Claims (1) and (2), asymptotic explanation and reference Examination II: Claim (3), reduction and singular asymptotics Examination III: Claim (4), emergence and multiple realisability Conclusion.

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Citations of this work

Can classical structures explain quantum phenomena?Alisa Bokulich - 2008 - British Journal for the Philosophy of Science 59 (2):217-235.
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Spontaneous symmetry breaking in quantum systems: Emergence or reduction?Nicolaas P. Landsman - 2013 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 44 (4):379-394.

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