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Aristotelian finitism

Synthese 192 (8):2345-2360 (2015)

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  1. Avicenna on Mathematical Infinity.Mohammad Saleh Zarepour - 2020 - Archiv für Geschichte der Philosophie 102 (3):379-425.
    Avicenna believed in mathematical finitism. He argued that magnitudes and sets of ordered numbers and numbered things cannot be actually infinite. In this paper, I discuss his arguments against the actuality of mathematical infinity. A careful analysis of the subtleties of his main argument, i. e., The Mapping Argument, shows that, by employing the notion of correspondence as a tool for comparing the sizes of mathematical infinities, he arrived at a very deep and insightful understanding of the notion of mathematical (...)
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