Some authors have proposed that Avicenna considers mathematical objects, i.e., geometric shapes and numbers, to be mental existents completely separated from matter. In this paper, I will show that this description, though not completely wrong, is misleading. Avicenna endorses, I will argue, some sort of literalism, potentialism, and finitism.

The twelfth century philosopher-theologian Fakhr al-Dīn al-Rāzī is well known for his critique of Avicennan metaphysics. In this paper, I examine his critique of Avicenna's physics, and in particular his rejection of the Avicennan and Aristotelian theory of place as the inner boundary of a containing body. Instead, Fakhr al-Dīn defends a definition of place as self-subsisting extension, an idea explicitly rejected by Aristotle and Avicenna after him. Especially in his late work, theMaṭālib, Fakhr al-Dīn explores a number of important (...) philosophical issues with reference to this theory of place, including the principle that two indiscernible things must be identical and the idea that motion and rest are always relative.RésuméLe philosophe-théologien du XIIesiècle Fakhr al-Dīn al-Rāzī est bien connu pour sa critique de la métaphysique avicennienne. Nous examinons, dans cet article, sa critique de la physique d'Avicenne, et en particulier son rejet de la théorie avicennienne et aristotélicienne du lieu – lieu comme limite interne du corps englobant. Alternativement, Fakhr al-Dīn défend une théorie du lieu comme extension auto-subsistante, doctrine explicitement révoquée par Aristote et Avicenne à sa suite. En particulier dans son œuvre tardive, lesMaṭālib, Fakhr al-Dīn explore plusieurs questions philosophiques importantes en rapport avec cette théorie du lieu, dont: le principe voulant que deux choses indiscernables soient identiques, et l'idée selon laquelle mouvement et repos sont toujours relatifs. (shrink)

I reconstruct and analyze al-Ghazali’s arguments defending a plurality of real divine attributes in The Incoherence of the Philosophers. I show that one of these arguments can be made to engage with and defend Jeffrey E. Brower and Michael C. Rea’s “Numerical Sameness Without Identity” model of the Trinity. To that end, I provide some background on the metaphysical commitments at play in al-Ghazali’s arguments.

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 (...) infinity, one that is much more modern than we might expect. I argue, moreover, that Avicenna’s mathematical finitism is interwoven with his literalist ontology of mathematics, according to which mathematical objects are properties of existing physical objects. (shrink)

Avicenna’s discussion of future contingent propositions is sometimes considered to entail metaphysical indeterminism. In this paper, I argue that his logical analysis of future contingent statements is best understood in terms of the epistemic modality of those statements, which has no consequences for modal metaphysics. This interpretation is corroborated by hitherto neglected material concerning the question of God’s knowledge of particulars. In the Taʿlīqāt, Avicenna argues that God knows particulars by knowing their complete causes, and when contrasted with the human (...) knowledge of particulars, this epistemically superior access shows that the contingency of statements about future particulars is not due to the modal properties of real particulars but to the nature of human access to them. (shrink)

In contemporary literature, one can find much information concerning Thomas Aquinas's doctrine of intelligible species. However, none of the literature takes into account how and why Aquinas developed his doctrine of intelligible species. Often, it is purported that Aquinas is just following Aristotle. However, this is not the case. There are aporiae in the Aristotelian corpus, and those who followed Aristotle tried to resolve the intellection and hylomorphism aporia, an aporia that arose as a result of denying Platonic forms and (...) affirming hylomorphism. Among those who attempted to resolve this aporia were Avicenna and Averroes from whom Aquinas drew and developed his doctrine of intelligible species. Avicenna's and Averroes' influence on Aquinas's doctrine of intelligible species is the focus of this dissertation. In addition, Aquinas's hylomorphic doctrines and natural and supernatural psychologies are explicated, and the influence of Avicenna and Averroes on Aquinas's psychologies is highlighted. Finally, the arguments posed by contemporary scholars as to whether Aquinas is a direct realist or a representationalist are reviewed in light of the Arabic contributions and Aquinas's synthesis. (shrink)