Aristotle’s Modal Syllogistic

Aristotle’s Modal Syllogistic
Author: Marko Malink
Publisher: Harvard University Press
Total Pages: 250
Release: 2013-11-01
Genre: Philosophy
ISBN: 0674727541

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. In this meticulously argued new study, Marko Malink presents a major reinterpretation of Aristotle’s modal syllogistic. Combining analytic rigor with keen sensitivity to historical context, he 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. Malink recognizes some limitations of this reconstruction, acknowledging that his proof of syllogistic consistency depends on introducing certain complexities that Aristotle could not have predicted. Nonetheless, Aristotle’s Modal Syllogistic brims with bold ideas, richly supported by close readings of the Greek texts, and offers a fresh perspective on the origins of modal logic.

Logical Modalities from Aristotle to Carnap

Logical Modalities from Aristotle to Carnap
Author: Adriane Rini
Publisher: Cambridge University Press
Total Pages: 365
Release: 2016-09-15
Genre: Mathematics
ISBN: 1107077885

Introduces readers to the history of necessity and possibility, two modal concepts which play a key role in philosophy.

Aristotle's Modal Logic

Aristotle's Modal Logic
Author: Richard Patterson
Publisher: Cambridge University Press
Total Pages: 308
Release: 2002-08-22
Genre: Philosophy
ISBN: 9780521522335

This 1995 book argues that a proper understanding of Aristotle's modal logic requires an appreciation of its connection to the metaphysics.

The Oxford Handbook of Aristotle

The Oxford Handbook of Aristotle
Author: Christopher Shields
Publisher: Oxford University Press, USA
Total Pages: 731
Release: 2012-08-16
Genre: History
ISBN: 0195187482

This book reflects the lively international character of Aristotelian studies, drawing contributors from Europe, North America, and Asia. It also reflects the broad range of activity Aristotelian studies comprise today, informed by cutting-edge philological research and focusing as its core activity on textual exegesis and philosophical criticism.

The Structure of Being in Aristotle’s Metaphysics

The Structure of Being in Aristotle’s Metaphysics
Author: Jiyuan Yu
Publisher: Springer Science & Business Media
Total Pages: 272
Release: 2012-12-06
Genre: Philosophy
ISBN: 9401000557

This book develops a new interpretation of Aristotle's Metaphysics. By exploring the significance of the long ignored distinction between being with regard to categories and being with regard to potentiality and actuality, the author presents that Aristotle's science of being has two distinct aspects: an investigation of the basic constituents of reality in terms of categories, predication, and definition, and an investigation which deals with change, process, and order of the world.

Aristotle's Theory of Abstraction

Aristotle's Theory of Abstraction
Author: Allan Bäck
Publisher: Springer
Total Pages: 315
Release: 2014-07-02
Genre: Philosophy
ISBN: 3319047590

This book investigates Aristotle’s views on abstraction and explores how he uses it. In this work, the author follows Aristotle in focusing on the scientific detail first and then approaches the metaphysical claims, and so creates a reconstructed theory that explains many puzzles of Aristotle’s thought. Understanding the details of his theory of relations and abstraction further illuminates his theory of universals. Some of the features of Aristotle’s theory of abstraction developed in this book include: abstraction is a relation; perception and knowledge are types of abstraction; the objects generated by abstractions are relata which can serve as subjects in their own right, whereupon they can appear as items in other categories. The author goes on to look at how Aristotle distinguishes the concrete from the abstract paronym, how induction is a type of abstraction which typically moves from the perceived individuals to universals and how Aristotle’s metaphysical vocabulary is "relational.’ Beyond those features, this work also looks at how of universals, accidents, forms, causes and potentialities have being only as abstract aspects of individual substances. An individual substance is identical to its essence; the essence has universal features but is the singularity making the individual substance what it is. These theories are expounded within this book. One main attraction in working out the details of Aristotle’s views on abstraction lies in understanding his metaphysics of universals as abstract objects. This work reclaims past ground as the main philosophical tradition of abstraction has been ignored in recent times. It gives a modern version of the medieval doctrine of the threefold distinction of essence, made famous by the Islamic philosopher, Avicenna.

New Perspectives on Aristotle's De Caelo

New Perspectives on Aristotle's De Caelo
Author: Alan C. Bowen
Publisher: BRILL
Total Pages: 336
Release: 2009
Genre: Philosophy
ISBN: 9004173765

This volume is the first collection of scholarly articles in any modern language devoted to Aristotle s "De caelo." It grew out of series of workshops held at Princeton, Cambridge, and Paris in the late 1990 s. Since Aristotle s "De caelo" had a major influence on cosmological thinking until the time of Galileo and Kepler and helped to shape the way in which Western civilization imagined its natural environment and place at the center of the universe, familiarity with the main doctrines of the "De caelo" is a prerequisite for an understanding of much of the thought and culture of antiquity and the Middle Ages.

Oxford Studies in Ancient Philosophy, Volume 42

Oxford Studies in Ancient Philosophy, Volume 42
Author: Brad Inwood
Publisher: Oxford University Press
Total Pages: 386
Release: 2012-07-19
Genre: Philosophy
ISBN: 0191649945

Oxford Studies in Ancient Philosophy is a volume of original articles on all aspects of ancient philosophy. The articles may be of substantial length, and include critical notices of major books. OSAP is now published twice yearly, in both hardback and paperback. 'The serial Oxford Studies in Ancient Philosophy (OSAP) is fairly regarded as the leading venue for publication in ancient philosophy. It is where one looks to find the state-of-the-art. That the serial, which presents itself more as an anthology than as a journal, has traditionally allowed space for lengthier studies, has tended only to add to its prestige; it is as if OSAP thus declares that, since it allows as much space as the merits of the subject require, it can be more entirely devoted to the best and most serious scholarship.' Michael Pakaluk, Bryn Mawr Classical Review