id author title date pages extension mime words sentences flesch summary cache txt work_3qfnyromnfdipfl2b3qxtbghpq Luciano Pomatto An Axiomatic Theory of Inductive Inference 2018 29 .pdf application/pdf 9926 946 74 We consider a probabilistic framework in which an agent, named Bob, is endowed with a coherent view of world (i.e., a finitely additive probability measure) Bob's view of the world is inductive in the sense of Hume, as we define shown that there exist non σ-additive coherent views of the world which allow for Definition 1 A coherent view of the world P is inductive in the sense of Hume From sufficient data with a pattern, Bob ultimately concludes, with probability approaching certainty, that Nature must follow some law. Definition 2 A coherent view of the world P is inductive in the sense of Goodman if for every path ω ∈ A, Proposition 2 Any σ-additive coherent view of the world is completely inductive in the sense of Hume. As shown, σ-additive coherent views rule out skepticism about induction. ./cache/work_3qfnyromnfdipfl2b3qxtbghpq.pdf ./txt/work_3qfnyromnfdipfl2b3qxtbghpq.txt