Based on Aristotle's analysis of the form and matter found in human thought, this book examines the three steps the mind takes in arriving at the truth: defining, judging, and reasoning. The author further analyzes the type of material demanded for scientific or demonstrative knowledge: universal, necessary, and proper propositions and applies this examination to modern science.
What are the ten ways in which something can be said to exist? What are the five ways in which something can be said of something else? What are the four questions you must answer in order to really know something? In ancient and medieval times, the answers to these questions were common currency among thinking people. When most people think of logic, they think of formal logic the study of the structure or form of reasoning. But what most educators don t realize is that formal logic is only one part of a complete logic program. The other branch of logic study was called material logic, and focused, not on the form of reasoning, but on its content. In short, while formal logic studied the how of reasoning, material logic studied the what. There is a huge gap between formal logic courses and so-called thinking skills courses. Formal logic focuses exclusively on the systematic study of the structure of reasoning. That is important, but it hardly covers all you need to know to reason effectively. Thinking skills courses, on the other hand, tend to suffer from a highly nonsystematic topic-hopping approach, where the student is unable to see how one principle connects with another. With the publication of Material Logic: A Traditional Approach to Thinking Skills, these ancient techniques are a lost art no more. Whether you want a follow-on course to Memoria Press s popular Traditional Logic program, or simply an introductory thinking skills course for high school grades, this new addition to Memoria Press s widely acclaimed Classical Trivium Core Series is a valuable tool in teaching your student to think. Material Logic is designed to ease the job of the teacher or parent with straightforward explanations, an easy to read text layout, and digestible daily exercise sets. It can be used as either a one-semester or one-year course. Consumable. Grades 9-12."
Based on Aristotle's analysis of the form and matter found in human thought, this book examines the three steps the mind takes in arriving at the truth: defining, judging, and reasoning. The author further analyzes the type of material demanded for scientific or demonstrative knowledge: universal, necessary, and proper propositions and applies this examination to modern science.
Proceedings of an international research and development conference, Tuscon, Arizona, October 1985. One hundred and twenty-eight papers are presented in this hefty volume. They are grouped into chapters covering climate, underutilized plants, irrigation and water management, biosphere reserves, water policy, animal resources, desert ecology, crop physiology and agronomy, urban environments, desertification, land intensification, and other topics related to the economy and management of arid lands. Provides detailed treatment of topics in traditional logic: theory of terms, theory of definition, informal fallacies, and division and classification.
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.
Offering a bold new vision on the history of modern logic, Lukas M. Verburgt and Matteo Cosci focus on the lasting impact of Aristotle's syllogism between the 1820s and 1930s. For over two millennia, deductive logic was the syllogism and syllogism was the yardstick of sound human reasoning. During the 19th century, this hegemony fell apart and logicians, including Boole, Frege and Peirce, took deductive logic far beyond its Aristotelian borders. However, contrary to common wisdom, reflections on syllogism were also instrumental to the creation of new logical developments, such as first-order logic and early set theory. This volume presents the period under discussion as one of both tradition and innovation, both continuity and discontinuity. Modern logic broke away from the syllogistic tradition, but without Aristotle's syllogism, modern logic would not have been born. A vital follow up to The Aftermath of Syllogism, this book traces the longue durée history of syllogism from Richard Whately's revival of formal logic in the 1820s through the work of David Hilbert and the Göttingen school up to the 1930s. Bringing together a group of major international experts, it sheds crucial new light on the emergence of modern logic and the roots of analytic philosophy in the 19th and early 20th centuries.
Symbolic logic may be superior to classical Aristotelian logic for the sciences, but not for the humanities. This text is designed for do-it-yourselfers as well as classrooms.
This book examines a widespread, and often misunderstood, doctrine within the medieval Aristotelian tradition, namely the inclusion of Aristotle's Rhetoric and Poetics within the scope of the Organon. It studies this doctrine, as presented by the Islamic philosophers Al- Fārābī, Avicenna, and Averroes, from a purely philosophical perspective, and argues that the logical construal of the arts of rhetoric and poetics is both interesting and illuminating. The book begins by examining some prevalent misconceptions regarding the logical interpretation of the Rhetoric and Poetics. Chapter two considers the Greek background of the doctrine, first through an examination of the Aristotelian divisions of the sciences, and then through an examination of the beginnings of the logical classification of the Rhetoric and Poetics among the Greek commentators from the school of Alexandria. The remainder of the work is devoted to a detailed consideration of the Arabic philosophers' development of the doctrine, both their understanding of its general epistemological and logical underpinnings, and their elaboration of the specific logical structures upon which poetical and rhetorical discourse is based. Consideration is also given to the relationship between contemporary philosophical views of rhetoric and poetics, and the views of these medieval authors.
This book examines Aristotle's four causes (material, formal, efficient, and final), offering a systematic discussion of the relation between form and matter, causation, taxonomy, and teleology. The overall aim is to show that the four causes form a system, so that the form of a natural thing relates to its matter as the final cause of a natural process relates to its efficient cause. Aristotle's Four Causes reaches two novel and distinctive conclusions. The first is that the formal cause or essence of a natural thing is not a property of this thing but a generic natural thing. The second is that the final cause of a process is not its purpose but the course that processes of its kind typically take.
This book is a re-thinking of Aristotle's metaphysical theory of material substances. The view of the author is that the 'substances' are the living things, the organisms: chiefly, the animals. There are three main parts to the book: Part I, a treatment of the concepts of substance and nonsubstance in Aristotle's Categories; Part III, which discusses some important features of biological objects as Aristotelian substances, as analysed in Aristotle's biological treatises and the de Anima; and Part V, which attempts to relate the conception of substance as interpreted so far to that of the Metaphysics itself. The main aim of the study is to recreate in modern imagination a vivid, intuitive understanding of Aristotle's concept of material substance: a certain distinctive concept of what an individual material object is.
