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Justification by an infinity of conditional probabilities. (English) Zbl 1181.60008

Summary: Today it is generally assumed that epistemic justification comes in degrees. The consequences, however, have not been adequately appreciated. In this paper we show that the assumption invalidates some venerable attacks on infinitism: once we accept that epistemic justification is gradual, an infinitist stance makes perfect sense. It is only without the assumption that infinitism runs into difficulties.

MSC:

60A99 Foundations of probability theory
03A05 Philosophical and critical aspects of logic and foundations
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