Approximations, idealizations, and models in statistical mechanics

Erkenntnis 60 (2):235-263 (2004)
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Abstract

In this paper, a criticism of the traditional theories of approximation and idealization is given as a summary of previous works. After identifying the real purpose and measure of idealization in the practice of science, it is argued that the best way to characterize idealization is not to formulate a logical model – something analogous to Hempel's D-N model for explanation – but to study its different guises in the praxis of science. A case study of it is then made in thermostatistical physics. After a brief sketch of the theories for phase transitions and critical phenomena, I examine the various idealizations that go into the making of models at three difference levels. The intended result is to induce a deeper appreciation of the complexity and fruitfulness of idealization in the praxis of model-building, not to give an abstract theory of it.

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Chuang Liu
University of Florida

References found in this work

How the laws of physics lie.Nancy Cartwright - 1983 - New York: Oxford University Press.
Laws and symmetry.Bas C. Van Fraassen - 1989 - New York: Oxford University Press.
Nature's capacities and their measurement.Nancy Cartwright - 1989 - New York: Oxford University Press.
What is a Law of Nature?D. M. Armstrong - 1983 - New York: Cambridge University Press. Edited by Sydney Shoemaker.
A System of Logic.John Stuart Mill - 1829/2002 - Longman.

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