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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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  • Mereology in Kal'm A New Reading of the Proof from Accidents for Creation.Ayman Shihadeh - 2021 - Kader 19 (1):347-376.
    The objective of this article is twofold. First, it investigates mereology in medieval Islamic theology, particularly the theologians’ claim that the whole is identical to its parts and accordingly that at least some attributes common to the parts must by extension be attributed of the whole. This claim was refuted by philosophers and, from the eleventh century onwards, an increasing number of theologians. Second, it offers a new interpretation of the standard theological proof from accidents for creation ex nihilo, to (...)
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