In the second half of book 1 of the "Prior Analytics," Aristotle reflects on the application of the formalized logic he has developed in the first half, focusing particularly on the non-modal or assertoric syllogistic developed in the first seven chapters. These reflections lead Alexander of Aphrodisias, the great late second-century AD exponent of Aristotelianism, to explain and sometimes argue against subsequent developments of Aristotle's logic and alternatives and objections to it, ideas associated mainly with his colleague Theophrastus and with the Stoics. The other main topic of this part of the "Prior Analytics" is the specification of a method for discovering true premises needed to prove a given proposition. Aristotle's presentation is sometimes difficult to follow, and Alexander's discussion is extremely helpful to the uninitiated reader. In his commentary on the final chapter translated in this volume, Alexander provides an insightful account of Aristotle's criticism of Plato's method of division.

The commentary of Alexander of Aphrodisias on Aristotle's Prior Analytics 1.8-22 is the main ancient commentary, by the 'greatest' commentator, on the chapters of the Prior Analytics in which Aristotle invented modal logic - the logic of propositions about what is necessary or contingent (possible). In this volume, which covers chapters 1.8-13, Alexander of Aphrodisias reaches the chapter in which Aristotle discusses the notion of contingency. Also included in this volume is Alexander's commentary on that part of Prior Analytics 1.17 which explains the conversion of contingent propositions (the rest of 1.17 is included in the second volume of Mueller's translation). Aristotle also invented the syllogism, a style of argument involving two premises and a conclusion. Modal propositions can be deployed in syllogism, and in the chapters included in this volume Aristotle discusses syllogisms consisting of two necessary propositions as well as the more controversial ones containing one necessary and one non-modal premiss. The discussion of syllogisms containing contingent propositions is reserved for Volume 2. In each volume, Ian Mueller provides a comprehensive explanation of Alexander's commentary on modal logic as a whole.

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On Reduplication is a study of the logical properties of reduplicative propositions, that is, of propositions having qualifications, like 'Christ qua God is a creature' and 'being qua being is the subject of metaphysics'. The focus is on what ways qualifications change the truth value and the inference patterns of simple, categorical propositions. The central class of reduplications is that in which the qualifications are introduced by a qua connective like 'qua', 'insofar as', 'under the concept of', or 'in virtue of the fact that'. Reduplicative propositions occur frequently and importantly in both traditional and contemporary philosophical works, but there has been little modern analysis of them. This study presents, compares and analyzes the different theories of reduplication that have arisen in Western philosophy. Texts are presented and explicated, and their significance is weighed relative to modern logical theory. Throughout this study, some important applications of theories of reduplication are noted, such as Leibniz's qualification of the principle of the Identity of Indiscernibles, Ockham's reduction of abstract entities, and Aquinas's view on the Incarnation.

Alfarabi was among the first to explore the tensions between the philosophy of classical Greece and that of Islam, as well as of religion generally. His writings, extraordinary in their breadth and deep learning, have had a profound impact on Islamic and Jewish philosophy.This volume presents four of Alfarabi's most important texts, making his political thought available to classicists, medievalists, and scholars of religion and Byzantine and Middle Eastern studies. In a clear prose translation by Charles E. Butterworth, these treatises provide a valuable introduction to the teachings of Alfarabi and to the development of Islamic political philosophy. All of these texts are based on new Arabic editions. Two of the texts—Book of Religion and Harmonization of the Two Opinions of the Two Sages: Plato the Divine and Aristotle—appear in English for the first time. The translations of the other two works—Selected Aphorisms and chapter five of the Enumeration of the Sciences—differ markedly from those previously known to English-language readers.Butterworth situates each essay in its historical, literary, and philosophical context. His notes help the reader follow Alfarabi's text and identify persons, places, and events. English-Arabic and Arabic-English glossaries of terms further assist the reader.

This pioneer study of Aristotle's theory of deduction in early medieval Islam provides invaluable first-hand information on both the classical and the Islamic dimensions of an important chapter in the history of medieval Islamic philosophy.

Saint Gregory of Nyssa (335 – 395), wrote this classic upon the death of his brother, Saint Basil the Great.