Journal of Philosophy 117 (5):267-292 (2020)

Jeffrey Sanford Russell
University of Southern California
I examine what the mathematical theory of random structures can teach us about the probability of Plenitude, a thesis closely related to David Lewis's modal realism. Given some natural assumptions, Plenitude is reasonably probable a priori, but in principle it can be (and plausibly it has been) empirically disconfirmed—not by any general qualitative evidence, but rather by our de re evidence.
Keywords random structures  model theory  modal realism  multiverse  ur-prior  Bayesian epistemology  natural properties  induction
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DOI 10.5840/jphil2020117517
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