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Kant and Finitism

Journal of Philosophy 113 (5/6):261-273 (2016)

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  1. Kant’s Mereological Account of Greater and Lesser Actual Infinities.Daniel Smyth - 2023 - Archiv für Geschichte der Philosophie 105 (2):315-348.
    Recent work on Kant’s conception of space has largely put to rest the view that Kant is hostile to actual infinity. Far from limiting our cognition to quantities that are finite or merely potentially infinite, Kant characterizes the ground of all spatial representation as an actually infinite magnitude. I advance this reevaluation a step further by arguing that Kant judges some actual infinities to be greater than others: he claims, for instance, that an infinity of miles is strictly smaller than (...)
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