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  1. Does the Dome Defeat the Material Theory of Induction?William Peden - 2021 - Erkenntnis 88 (5):2171-2190.
    According to John D. Norton's Material Theory of Induction, all inductive inferences are justified by local facts, rather than their formal features or some grand principles of nature's uniformity. Recently, Richard Dawid (Found Phys 45(9):1101–1109, 2015) has offered a challenge to this theory: in an adaptation of Norton's own celebrated "Dome" thought experiment, it seems that there are certain inductions that are intuitively reasonable, but which do not have any local facts that could serve to justify them in accordance with (...)
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  • An Infinite Lottery Paradox.John D. Norton & Matthew W. Parker - 2022 - Axiomathes 32 (1):1-6.
    In a fair, infinite lottery, it is possible to conclude that drawing a number divisible by four is strictly less likely than drawing an even number; and, with apparently equal cogency, that drawing a number divisible by four is equally as likely as drawing an even number.
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  • Explanatory reasoning in the material theory of induction.William Peden - 2022 - Metascience 31 (3):303-309.
    In his recent book, John Norton has created a theory of inference to the best explanation, within the context of his "material theory of induction". I apply it to the problem of scientific explanations that are false: if we want the theories in our explanations to be true, then why do historians and scientists often say that false theories explained phenomena? I also defend Norton's theory against some possible objections.
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