Themes in Neoplatonic and Aristotelian Logic


Book Description

Were the most serious philosophers of the millennium 200 A.D. to 1200 A.D. just confused mystics? This book shows otherwise. John Martin rehabilitates Neoplatonism, founded by Plotinus and brought into Christianity by St. Augustine. The Neoplatonists devise ranking predicates like good, excellent, perfect to divide the Chain of Being, and use the predicate intensifier hyper so that it becomes a valid logical argument to reason from God is not (merely) good to God is hyper-good. In this way the relational facts underlying reality find expression in Aristotle's subject-predicate statements, and the Platonic tradition proves able to subsume Aristotle's logic while at the same time rejecting his metaphysics. In the Middle Ages when Aristotle's larger philosophy was recovered and joined again to the Neoplatonic tradition which was never lost, Neoplatonic logic lived along side Aristotle's metaphysics in a sometime confusing and unsettled way. Showing Neoplatonism to be significantly richer in its logical and philosophical ideas than it is usually given credit for, this book will be of interest not just to historians of logic, but to philosophers, logicians, linguists, and theologians.




Negation and Knowledge of God: Neoplatonism and Christianity


Book Description

It is not soul, not intellect, not imagination, opinion, reason and not understanding, not logos, not intellection, not spoken, not thought, not number, not order, not greatness, not smallness, not equality, not inequality, not likeness, not unlikeness, not having stood, not moved, not at rest, not powerful, not intepowerful, not light, not living, not life, not eternity, not time, not intellectual contact with it, not knowledge, not truth, not kingship, not wisdom, not one, not unity, not divinity, not goodness, not spirit , not sonhood, not fatherhood, ..., not something among what is not, not something among what is, not known as it is by beings, not a knower of beings as they are. There is neither logos, name, or knowledge of it. It is neither dark nor light, not error, and not truth. There is universally neither postulation nor abstraction of it. While there are produced postulations and abstractions of those after it, we neither postulate nor abstract it. Since beyond all postulation is the all-complete and single Cause of all; beyond all abstraction: the preeminence of that absolutely free of all and beyond the whole. (Dionysius the Areopagite, De mystica theologia V).




Aristotle's Modal Syllogistic


Book Description

Aristotle was the founder not only of logic but also of modal logic. In the Prior Analytics he developed a complex system of modal syllogistic which, while influential, has been disputed since antiquity--and is today widely regarded as incoherent. Combining analytic rigor with keen sensitivity to historical context, Marko Malink makes clear that the modal syllogistic forms a consistent, integrated system of logic, one that is closely related to other areas of Aristotle's philosophy. Aristotle's modal syllogistic differs significantly from modern modal logic. Malink considers the key to understanding the Aristotelian version to be the notion of predication discussed in the Topics--specifically, its theory of predicables (definition, genus, differentia, proprium, and accident) and the ten categories (substance, quantity, quality, and so on). The predicables introduce a distinction between essential and nonessential predication. In contrast, the categories distinguish between substantial and nonsubstantial predication. Malink builds on these insights in developing a semantics for Aristotle's modal propositions, one that verifies the ancient philosopher's claims of the validity and invalidity of modal inferences. While it acknowledges some limitations of this reconstruction, Aristotle's Modal Syllogistic brims with bold ideas, richly supported by close readings of the Greek texts.




Neoplatonism și creștinism: negație și transcendență


Book Description

„Nu este nici cuvânt al ei, nici nume, nici cunoștință. Nu este nici întuneric, nici lumină, nici eroare, nici adevăr. Nu este defel nici postulare (thesis) a ei, nici îndepărtare (aphairesis). Ci, făcând postulările și îndepărtările a celor de după ea, nici nu o postulăm, nici nu o îndepărtăm, de vreme ce cauza deplină și una a tuturor este hyper toată postularea; și hyper toată îndepărtarea, ca cea care este preeminența (hyperoche) liberă de toate și dincolo de (epekeina) toate.” (Dionisie Areopagitul, Despre teologia mistică, V).




Analytic Philosophy and the Return of Hegelian Thought


Book Description

This 2007 book examines the possibilities for the rehabilitation of Hegelian thought within analytic philosophy. From its inception, the analytic tradition has in general accepted Bertrand Russell's hostile dismissal of the idealists, based on the claim that their metaphysical views were irretrievably corrupted by the faulty logic that informed them. These assumptions are challenged by the work of such analytic philosophers as John McDowell and Robert Brandom, who, while contributing to core areas of the analytic movement, nevertheless have found in Hegel sophisticated ideas that are able to address problems which still haunt the analytic tradition after a hundred years. Paul Redding traces the consequences of the displacement of the logic presupposed by Kant and Hegel by modern post-Fregean logic, and examines the developments within twentieth-century analytic philosophy which have made possible an analytic re-engagement with a previously dismissed philosophical tradition.




Ten Gifts of the Demiurge


Book Description

Proclus' commentary on Plato's "Timaeus" is perhaps the most important surviving Neoplatonic commentary. In it Proclus contemplates nature's mysterious origins and at the same time employs the deductive rigour required to address perennial philosophical questions. Nature, for him, is both divine and mathematically transparent. He renders theories of Time, Eternity, Providence, Evil, Soul and Intellect and constructs an elaborate ontology that includes mathematics and astronomy. He gives ample play to pagan theology too, frequently lapsing into the arcane language of the "Chaldaean Oracles". "Ten Gifts of the Demiurge" is an essential companion to this rich but complex and densely wrought text, providing an analysis of its arguments and showing that it, like the cosmos Proclus reveres, is a living coherent whole. The book provides aides to understanding Proclus' work within the complex background of Neoplatonic philosophy, familiarising the reader with the political context of the Athenian school, analysing Proclus' key terminology, and giving background to the philosophical arguments and ancient sciences upon which Proclus draws.Above all, it helps the reader appreciate the varicoloured light that Proclus sheds on the secrets of nature.




Alexander of Aphrodisias: On Aristotle Topics 2


Book Description

Aristotle's Topics is a handbook for dialectic, which can be understood as a philosophical debate between a questioner and a respondent. In book 2, Aristotle mainly develops strategies for making deductions about 'accidents', which are properties that might or might not belong to a subject (for instance, Socrates has five fingers, but might have had six), and about properties that simply belong to a subject without further specification. In the present commentary, here translated into English for the first time, Alexander develops a careful study of Aristotle's text. He preserves objections and replies from other philosophers whose work is now lost, such as the Stoics. He also offers an invaluable picture of the tradition of Aristotelian logic down to his time, including innovative attempts to unify Aristotle's guidance for dialectic with his general theory of deductive argument (the syllogism), found in the Analytics. The work will be of interest not only for its perspective on ancient logic, rhetoric, and debate, but also for its continuing influence on argument in the Middle Ages and later.




Aristotle's Topics


Book Description

This work deals with Aristotle's Topics, a textbook on how to argue successfully in a debate organised in a certain way. The origins of the three branches of logic can be found here: logic of propositions, of predicates and of relations. Having dealt with the structure of the dialectical debates and the theory of the predicables, the central notion of the topos is analysed. Topoi are principles of arguments designed to help a disputant refute his opponent and function as hypotheses in hypothetical syllogisms, the main form of argument in the Topics. Traces of the crystallization of their theory can be found in the Topics and Analytics. The author analyses a selection of topoi including those according to which categorical and relational syllogisms are constructed.




The Anatomy of Neoplatonism


Book Description

The Anatomy of Neoplatonism was the crowning achievement of A. C. Lloyd, the distinguished scholar of late ancient philosophy. He offers a rich and authoritative study of this school of thought, which was highly influential not only on subsequent philosophy but also on Christian theology. His discussion ranges over metaphysics, epistemology, logic, and language, and reveals the fundamental structure of Neoplatonist thought; the book is essential reading for all who work in this area. Lloyd shows that while Neoplatonism is not a modern philosophy, it is indeed philosophy in the modern sense. 'A comprehensive study of Neoplatonism . . . from the pen of A. C. Lloyd is greatly to be welcomed . . . a worthy and valuable culmination of many years of thought' International Studies in Philosophy 'interesting and important . . . very rewarding' Times Literary Supplement 'the new view of Neoplatonism that the book offers is one that is worth having' Bryn Mawr Classical Review 'this book can be expected to become a fruitful basis of discussion as the philosophical exploration of Neoplatonic metaphysics develops' Review of Metaphysics 'learned and fascinating . . . I doubt whether any other living scholar could have written so effectively on Neoplatonism in this way' Contemporary Philosophical Reviews




Routledge Companion to Ancient Philosophy


Book Description

The Routledge Companion to Ancient Philosophy is a collection of new essays on the philosophy and philosophers of the ancient Greek and Roman worlds. Written by a cast of international scholars, it covers the full range of ancient philosophy from the sixth century BC to the sixth century AD and beyond. There are dedicated discussions of the major areas of the philosophy of Plato and Aristotle together with accounts of their predecessors and successors. The contributors also address various problems of interpretation and method, highlighting the particular demands and interest of working with ancient philosophical texts. All original texts discussed are translated into English.