Noûs 54 (2):354-388 (2020)

Andrew Bacon
University of Southern California
This paper formulates some paradoxes of inductive knowledge. Two responses in particular are explored: According to the first sort of theory, one is able to know in advance that certain observations will not be made unless a law exists. According to the other, this sort of knowledge is not available until after the observations have been made. Certain natural assumptions, such as the idea that the observations are just as informative as each other, the idea that they are independent, and that they increase your knowledge monotonically (among others) are given precise formulations. Some surprising consequences of these assumptions are drawn, and their ramifications for the two theories examined. Finally, a simple model of inductive knowledge is offered, and independently derived from other principles concerning the interaction of knowledge and counterfactuals.
Keywords Induction  Knowledge  Inductive knowledge  Safety  Knowledge and counterfactuals  Paradoxes of induction  Lottery paradox  Dogmatism
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DOI 10.1111/nous.12266
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Knowledge and its Limits.Timothy Williamson - 2000 - Oxford University Press.
The Skeptic and the Dogmatist.James Pryor - 2000 - Noûs 34 (4):517–549.
Knowledge and Its Limits.Timothy Williamson - 2000 - Philosophy 76 (297):460-464.
Knowledge and its Limits.Timothy Williamson - 2000 - Tijdschrift Voor Filosofie 64 (1):200-201.
Knowledge and Lotteries.John Hawthorne - 2005 - Philosophical Quarterly 55 (219):353-356.

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