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)

In his paraphasis of Aristotle’s Metaphysics, Avicenna seems to adopt a first principle distintc form the one adopted by the Greek philosopher for this science. In fact, some interpreters consider him as prefering the principle of third excluded instead of the principle of non contradiction. Since I desagree with this thesis, I propose to analyse here Avicenna’s formulation of the first principle. In order to do that, I propose, first, to clarify the meaning of the first principle by looking to (...) one of the most important modern critics: Jan Lukasiewicz. To put it briefly, the question I will try to answer is: how Avicenna and Aristotle justify the nature of the logical relations. The article finishes with make some general remarks on Avicenna’s defense of the first principle. (shrink)

In different parts of Metaphysics, Aristotle presents different views on the nature and subject matter of the discipline in question. These different characterizations led to wide-ranging interpretations of the relation between metaphysics and philosophical theology. Muslim Philosophers adopted two different views. Al-Kindi and al-Farabi endorsed the view that metaphysics is the same as theology as far as its subject matter is the First Cause and it deals essentially with incorporeal entities. After Avicenna, however, a second view became dominant according to (...) which metaphysics has a broader realm that embraces theology as its most noble part. The rationale behind this view is that the subject matter of metaphysics is “being qua being”, or unconditioned existent, in its broad sense so that philosophical theology can be taken as discussing some of the proper accidents of the unconditioned existent. This view requires that metaphysics cannot be a secular discipline and should be totally consistent with theology. It also provides us with a certain interpretation of what is usually called “Islamic philosophy.” * Professor. Department of Philosophy, Tarbiat Modares University, Tehran. Iran. ׀ [email protected]. (shrink)

Elucidating a metaphysics of medicine is vital for framing a coherent medical ethics. In this paper, I examine the historical case of Avicenna, the eleventh century physician-philosopher. Avicenna radicalizes the dissective power of reason using a logicized Aristotelian metaphysics to clarify concepts at the metaphysical level, which I call his anatomy of being. One of the practical consequences of Avicenna’s metaphysics is a dehumanizing eschatology of death. I outline the main elements of Avicenna’s thought that constitute his anatomy of being. (...) Through an examination of his logic, metaphysics, and psychology, I show how Avicenna develops a dissective logic. I conclude that one’s epistemology, as a method of knowing, entails a metaphysics, and, in turn, results in an ethical stance to the object of knowledge. For Avicenna, mental dissective logic applied to humans results in dehumanization, thereby destroying the humanistic impulse of medicine. (shrink)

When questioning whether political deception can be ethically warranted, two competing intuitions jump to the fore. First, political deception is a fact of human life, used in the realpolitik of governance. Second, the ethical warrant of truth asserts itself as inexorably and indefatigably preferable to falsehood. Unfortunately, a cursory examination of the history of philosophy reveals a paucity of models to marry these basic intuitions. Some thinkers (e.g., Augustine, Aquinas, Grotius, Kant, Mill, and Rawls) privilege the truth by neglecting the (...) realpolitik, i.e., the truth is inviolate. Others (e.g., Machiavelli, Bentham, and the often infamous caché of 20th century dictators) focus upon the realpolitik to the exclusion of the primacy of the truth. A third group of critical thinkers (e.g., Arendt and Bok) examine the topic but offer no positive, systematic treatment of deception. Lacking are theories which simultaneously recognize that political untruth is often necessary, but that untruth is only justified when a) truth is politically impossible, b) the necessity of untruth is demonstrable, and c) the truth can be replaced with a minimally injurious untruth. Plato offers one such account in the Republic, arguing that deceit must be applied medicinally to the city. However, his account is problematic in detail. One of Plato’s inheritors, the 10th century thinker al-Fārābī, advanced Plato’s theoretical account, arguing that political governance requires restrained political deception. This deception, the expression of philosophical truths through the symbols of religion, meets the criteria mentioned above, being necessary, demonstrably necessary, and minimally injurious. But while al-Fārābī provides a valuable model for what justified political deception could look like, the lengths to which he must go in order to create a viable model for political deception reveals the untenability of the notion of justified political deception writ large. One must orchestrate an entire cosmos around the notion, notably a cosmos that does not match our own. One must adopt very specific conceptions of human nature, association, and happiness, as well as a particular metaphysics and epistemology. For, while al-Fārābī shows that political deception can be justifiable, he also reveals its unjustifiability outside an idealized setting. (shrink)

This thesis is concerned with answering the question, what is the central argument of Avicenna’s Metaphysics of the Healing that brings its opening ontological approach to the subject of first philosophy to its ultimate theological goal and conclusion? This dissertation contends that it is the function of the fundamental scientific first principles of metaphysics, and in particular the fundamental primary notion necessary, to provide the intelligible link that Avicenna employs to demonstrate the existence and true-nature of the divine necessary existence (...) in itself on the basis of his doctrine of being. This conclusion is pursued through a systematic and cumulative line of inquiry that begins in Part I with Avicenna’s logical–cum–epistemological doctrine of conceptualization and assent, the heuristic order of the basic scientific questions, and his theory of a demonstrative science. The thesis then moves from the wider concentric circles concerned with logical matters into a series of narrowing concentric circles pertaining to the scientific order of the MH. Part II presents a close analysis of the Metaphysics of the Healing’s novel reception and reorganization of Aristotelian metaphysics according to Avicenna’s theory of demonstrative science, which consists in a subject, scientific first principles, and objects of inquiry that includes the species, proper accidents, and the science’s ultimate goal which is the aitiological–cum–theological inquiry into the causes of being. Part III transitions into a still narrower set of concentric circles that provide a detailed explication of the formal and material aspects of the scientific first principles of the Metaphysics of the Healing. Finally, the main argument of the thesis reaches the central point and question of the dissertation in Part IV, which establishes the fundamentality of the primary notion the necessary in the ontology, aitiology, and theology of the Avicenna’s Metaphysics of the Healing. Part IV concludes that the principal function of the fundamental primary notion the necessary is to provide the intelligible link that connects Avicenna’s doctrine of being with the divine necessary existence in itself. (shrink)

This dissertation offers a new and comprehensive analysis of Abū Naṣr al-Fārābī's cosmology by focusing on various important issues that have been largely neglected by the modern scholarship. It provides an examination of the physical, metaphysical, and astronomical aspects of al-Fārābī's cosmology by adopting a multidisciplinary approach that takes into account the history of philosophy and the history of astronomy. Accordingly, my dissertation explores how al-Fārābī attempted to reconcile features of Ptolemaic astronomy with Aristotelian and Neoplatonic theories, an endeavor which (...) resulted in the formulation of innovative cosmological ideas. Chapters I and II provide background information on al-Fārābī's activity as a commentator and his relation to the Greek commentatorial tradition and assess the relevant primary sources. In addition, they examine al-Fārābī's approach to cosmology and his scientific method in terms of both the Ptolemaic astronomical tradition and the Aristotelian corpus. Chapter III addresses problems related to the structure of al-Fārābī's cosmology, especially the origin of his ennadic cosmological model and his spherology. Particular attention is devoted to the question of how Aristotle's unmoved movers and Ptolemy's astronomical theories are reconciled. Chapters IV, V, and VI analyze the place of celestial matter, intellect, and motion respectively in al-Fārābī's cosmology and attempt to redefine the second teacher's relation to the various trends of Greek philosophy. The study stresses al-Fārābī's connection with the Neoplatonic and Peripatetic currents, particularly with thinkers such as Alexander of Aphrod. (shrink)