Abstract
Can finite minds encompass an infinite number of beliefs? There is a difference between being able to complete an infinite series and being able to compute its outcome; and justification is more than mere calculation. Yet the number of propositions or beliefs that are needed in order to reach a desired level of justification for the target can be determined without computing an infinite number of terms: only a finite number of reasons are required for any desired level of accuracy. This suggests a view of epistemic justification as a trade-off between the accuracy of the target and the number of reasons taken into consideration.
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Atkinson, D., Peijnenburg, J. (2017). Finite Minds. In: Fading Foundations. Synthese Library, vol 383. Springer, Cham. https://doi.org/10.1007/978-3-319-58295-5_5
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DOI: https://doi.org/10.1007/978-3-319-58295-5_5
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