Philosophical Studies 178 (12):3945-3974 (2021)

Authors
Gila Sher
University of California, San Diego
Abstract
Many philosophers are baffled by necessity. Humeans, in particular, are deeply disturbed by the idea of necessary laws of nature. In this paper I offer a systematic yet down to earth explanation of necessity and laws in terms of invariance. The type of invariance I employ for this purpose generalizes an invariance used in meta-logic. The main idea is that properties and relations in general have certain degrees of invariance, and some properties/relations have a stronger degree of invariance than others. The degrees of invariance of highly-invariant properties are associated with high degrees of necessity of laws governing/describing these properties, and this explains the necessity of such laws both in logic and in science. This non-mysterious explanation has rich ramifications for both fields, including the formality of logic and mathematics, the apparent conflict between the contingency of science and the necessity of its laws, the difference between logical-mathematical, physical, and biological laws/principles, the abstract character of laws, the applicability of logic and mathematics to science, scientific realism, and logical-mathematical realism.
Keywords laws of nature  invariance  necessity  scientific realitm  logical realism  scientific realism  realism
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DOI 10.1007/s11098-021-01632-1
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References found in this work BETA

The Structure of Scientific Revolutions.Thomas S. Kuhn - 1962 - University of Chicago Press.
Fact, Fiction, and Forecast.Nelson Goodman - 1955 - Harvard University Press.
Laws and Symmetry.Bas C. Van Fraassen - 1989 - Oxford, England: Oxford University Press.
New Work for a Theory of Universals.David Lewis - 1983 - Australasian Journal of Philosophy 61 (4):343-377.
What is a Law of Nature?D. M. Armstrong - 1983 - Cambridge University Press.

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Citations of this work BETA

Logical Realism: A Tale of Two Theories.Gila Sher - forthcoming - In Sophia Arbeiter & Juliette Kennedy (eds.), The Philosophy of Penelope Maddy. Springer.
Invariance and Necessity.Gila Sher - 2019 - In Bernhard Ritter, Paul Weingartner & Gabriele M. Mras (eds.), Philosophy of logic and Mathematics. Berlin, Boston: De Gruyter. pp. 55-70.

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Invariance and Necessity.Gila Sher - 2019 - In Bernhard Ritter, Paul Weingartner & Gabriele M. Mras (eds.), Philosophy of logic and Mathematics. Berlin, Boston: De Gruyter. pp. 55-70.
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