Aristotelian Assertoric Syllogistic

Aristotelian Assertoric Syllogistic

Author: Mohamed A. Amer

Publisher: Springer Nature

Published: 2022-03-16

Total Pages: 100

ISBN-13: 3030873412

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This book is a treatise on Aristotelian assertoric syllogistic, which is currently of growing interest. Some centuries ago, it attracted the attention of the founders of modern logic, who approached it in several (semantical and syntactical) ways. Further approaches were introduced later on. In this book these approaches (with few exceptions) are discussed, developed and interrelated. Among other things, different facets of soundness, completeness, decidability, and independence for Aristotelian assertoric syllogistic are investigated. Specifically arithmetization (Leibniz), algebraization (Leibniz and Boole), and Venn models (Euler and Venn) are examined. The book is aimed at scholars in the fields of logic and history of logic.


Themes in Neoplatonic and Aristotelian Logic

Themes in Neoplatonic and Aristotelian Logic

Author: John N. Martin

Publisher: Routledge

Published: 2017-05-15

Total Pages: 218

ISBN-13: 1351880047

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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.


The Oxford Handbook of Aristotle

The Oxford Handbook of Aristotle

Author: Christopher Shields

Publisher: Oxford University Press, USA

Published: 2012-08-16

Total Pages: 731

ISBN-13: 0195187482

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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.


An Introduction to Formal Logic

An Introduction to Formal Logic

Author: Peter Smith

Publisher: Cambridge University Press

Published: 2003-11-06

Total Pages: 370

ISBN-13: 9780521008044

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Formal logic provides us with a powerful set of techniques for criticizing some arguments and showing others to be valid. These techniques are relevant to all of us with an interest in being skilful and accurate reasoners. In this highly accessible book, Peter Smith presents a guide to the fundamental aims and basic elements of formal logic. He introduces the reader to the languages of propositional and predicate logic, and then develops formal systems for evaluating arguments translated into these languages, concentrating on the easily comprehensible 'tree' method. His discussion is richly illustrated with worked examples and exercises. A distinctive feature is that, alongside the formal work, there is illuminating philosophical commentary. This book will make an ideal text for a first logic course, and will provide a firm basis for further work in formal and philosophical logic.


Logic For Dummies

Logic For Dummies

Author: Mark Zegarelli

Publisher: John Wiley & Sons

Published: 2006-11-29

Total Pages: 384

ISBN-13: 0471799416

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A straightforward guide to logic concepts Logic concepts are more mainstream than you may realize. There’s logic every place you look and in almost everything you do, from deciding which shirt to buy to asking your boss for a raise, and even to watching television, where themes of such shows as CSI and Numbers incorporate a variety of logistical studies. Logic For Dummies explains a vast array of logical concepts and processes in easy-to-understand language that make everything clear to you, whether you’re a college student of a student of life. You’ll find out about: Formal Logic Syllogisms Constructing proofs and refutations Propositional and predicate logic Modal and fuzzy logic Symbolic logic Deductive and inductive reasoning Logic For Dummies tracks an introductory logic course at the college level. Concrete, real-world examples help you understand each concept you encounter, while fully worked out proofs and fun logic problems encourage you students to apply what you’ve learned.


Five Proofs of the Existence of God

Five Proofs of the Existence of God

Author: Edward Feser

Publisher: Ignatius Press

Published: 2017-08-25

Total Pages: 338

ISBN-13: 1681497808

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This book provides a detailed, updated exposition and defense of five of the historically most important (but in recent years largely neglected) philosophical proofs of God’s existence: the Aristotelian, the Neo-Platonic, the Augustinian, the Thomistic, and the Rationalist. It also offers a thorough treatment of each of the key divine attributes—unity, simplicity, eternity, omnipotence, omniscience, perfect goodness, and so forth—showing that they must be possessed by the God whose existence is demonstrated by the proofs. Finally, it answers at length all of the objections that have been leveled against these proofs. This work provides as ambitious and complete a defense of traditional natural theology as is currently in print. Its aim is to vindicate the view of the greatest philosophers of the past— thinkers like Aristotle, Plotinus, Augustine, Aquinas, Leibniz, and many others— that the existence of God can be established with certainty by way of purely rational arguments. It thereby serves as a refutation both of atheism and of the fideism that gives aid and comfort to atheism.


Logic

Logic

Author: Nicholas J.J. Smith

Publisher: Princeton University Press

Published: 2012-04

Total Pages: 544

ISBN-13: 0691151636

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Provides an essential introduction to classical logic.


Necessity and Possibility

Necessity and Possibility

Author: Michael Tooley

Publisher: Taylor & Francis

Published: 1999

Total Pages: 428

ISBN-13: 9780815333821

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First published in 1999. Routledge is an imprint of Taylor & Francis, an informa company.