Over the last thirty years there have been a number of attempts to analyse the distinction between intrinsic and extrinsic properties in terms of the facts about naturalness. This article discusses the three most influential of these attempts, each of which involve David Lewis. These are Lewis's 1983 analysis, his 1986 analysis, and his joint 1998 analysis with Rae Langton.
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Marshall, D. (2012). Analyses of intrinsicality in terms of naturalness. Philosophy Compass, 7(8), 531-542. doi: 10.1111/j.1747-9991.2012.00501.x