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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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  • Averroes’s Unity Argument Against Multiple Intellects.Stephen R. Ogden - 2021 - Archiv für Geschichte der Philosophie 103 (3):429-454.
    Averroes is well-known for his controversial thesis that there is only one separate intellect for all humankind. This article provides a detailed analysis of Averroes’s Unity Argument from his Long Commentary on De Anima, which argues from unified intelligible concepts to a single transcendent intellect. I set out the Unity Argument in its textual and philosophical context, explain exactly how the argument works on a new interpretation of its infinite regress, and offer some brief suggestions as to how it might (...)
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  • When and Why Understanding Needs Phantasmata: A Moderate Interpretation of Aristotle’s De Memoria and De Anima on the Role of Images in Intellectual Activities.Caleb Cohoe - 2016 - Phronesis: A Journal for Ancient Philosophy 61 (3):337-372.
    I examine the passages where Aristotle maintains that intellectual activity employs φαντάσματα (images) and argue that he requires awareness of the relevant images. This, together with Aristotle’s claims about the universality of understanding, gives us reason to reject the interpretation of Michael Wedin and Victor Caston, on which φαντάσματα serve as the material basis for thinking. I develop a new interpretation by unpacking the comparison Aristotle makes to the role of diagrams in doing geometry. In theoretical understanding of mathematical and (...)
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  • Causation in Arabic and Islamic Thought.Kara Richardson - 2015 - Stanford Encyclopedia of Philosophy.
  • Kalām.Frank Griffel - 2011 - In H. Lagerlund (ed.), Encyclopedia of Medieval Philosophy. Springer. pp. 665--672.
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  • Francisco de Vitoria.Holly Hamilton-Bleakley - 2011 - In H. Lagerlund (ed.), Encyclopedia of Medieval Philosophy. Springer. pp. 367--371.
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  • Platonism.Stephen Gersh - 2011 - In H. Lagerlund (ed.), Encyclopedia of Medieval Philosophy. Springer. pp. 1016--1022.
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  • Aristotle, Arabic.Marc Geoffroy - 2011 - In H. Lagerlund (ed.), Encyclopedia of Medieval Philosophy. Springer. pp. 105--116.
  • Islamic Philosophy.Peter Groff - 2010 - In Michael Payne & Jessica Rae Barbera (eds.), A Dictionary of Cultural and Critical Theory. Malden, MA, USA: Wiley-Blackwell. pp. 355-360.
    A discussion of the different ways in which the Islamicate philosophical tradition has been characterized and categorized in Anglo-European scholarship.
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