The solvability of probabilistic regresses. A reply to Frederik herzberg
Studia Logica 94 (3) (2010)
| Abstract | We have earlier shown by construction that a proposition can have a welldefined nonzero probability, even if it is justified by an infinite probabilistic regress. We thought this to be an adequate rebuttal of foundationalist claims that probabilistic regresses must lead either to an indeterminate, or to a determinate but zero probability. In a comment, Frederik Herzberg has argued that our counterexamples are of a special kind, being what he calls ‘solvable’. In the present reaction we investigate what Herzberg means by solvability. We discuss the advantages and disadvantages of making solvability a sine qua non , and we ventilate our misgivings about Herzberg’s suggestion that the notion of solvability might help the foundationalist. | |||||||||
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András Kornai (2011). Probabilistic Grammars and Languages. Journal of Logic, Language and Information 20 (3):317-328.
Jeanne Peijnenburg (2007). Infinitism Regained. Mind 116 (463):597 - 602.
Frederik Herzberg & Daniel Eckert (2012). Impossibility Results for Infinite-Electorate Abstract Aggregation Rules. Journal of Philosophical Logic 41 (1):273-286.
Claude Gratton (2007). The Viciousness of Infinite Regresses. The Proceedings of the Twenty-First World Congress of Philosophy 5:25-29.
Jeanne Peijnenburg & David Atkinson (2008). Probabilistic Justification and the Regress Problem. Studia Logica 89 (3):333 - 341.
Frederik Herzberg (2013). The Consistency of Probabilistic Regresses: Some Implications for Epistemological Infinitism. Erkenntnis 78 (2):371-382.
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