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A certain order or stability of nature has often been seen as a necessary presupposition of many of our scientific practices, in particular of our use of information gained in one kind of circumstance to explain or predict what happens in quite different situations. John Maynard Keynes and, more recently, Nancy Cartwright have argued that these practices commit us to the existence of stable ‘atoms’ or ‘natures’ or ‘tendencies.’ The phenomena we observe in nature are, on this view, the result (...) |
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Cosmological inflation is widely considered an integral and empirically successful component of contemporary cosmology. It was originally motivated by its solution of certain so-called fine-tuning problems of the hot big bang model, particularly what are known as the horizon problem and the flatness problem. Although the physics behind these problems is clear enough, the nature of the problems depends on the sense in which the hot big bang model is fine-tuned and how the alleged fine-tuning is problematic. Without clear explications (...) |
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The use of idealized models in science is by now well-documented. Such models are typically constructed in a “top-down” fashion: starting with an intractable theory or law and working down toward the phenomenon. This view of model-building has motivated a family of confirmation schemes based on the convergence of prediction and observation. This paper considers how chaotic dynamics blocks the convergence view of confirmation and has forced experimentalists to take a different approach to model-building. A method known as “phase space (...) |
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One of the points of principle made by Cartwright is that the fundamental laws do not describe reality because they are always employed together with ceteris paribus clauses, the implication being that ceteris paribus assumptions always have dire consequences. We here wish to offer a dynamical interpretation of ceteris paribus laws in terms of their stability or fragility. On this interpretation, the consequences of ceteris paribus assumptions become concretely dependent on the nature of the laws under consideration and cannot be (...) |
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Laws of nature have been traditionally thought to express regularities in the systems which they describe, and, via their expression of regularities, to allow us to explain and predict the behavior of these systems. Using the driven simple pendulum as a paradigm, we identify three senses that regularity might have in connection with nonlinear dynamical systems: periodicity, uniqueness, and perturbative stability. Such systems are always regular only in the second of these senses, and that sense is not robust enough to (...) |
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