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Book Principles and Proofs

    Book Details:
  • Author : Richard D. McKirahan Jr.
  • Publisher : Princeton University Press
  • Release : 2017-03-14
  • ISBN : 140088716X
  • Pages : 354 pages

Download or read book Principles and Proofs written by Richard D. McKirahan Jr. and published by Princeton University Press. This book was released on 2017-03-14 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: By a thorough study of the Posterior Analytics and related Aristotelian texts, Richard McKirahan reconstructs Aristotle's theory of episteme--science. The Posterior Analytics contains the first extensive treatment of the nature and structure of science in the history of philosophy, and McKirahan's aim is to interpret it sympathetically, following the lead of the text, rather than imposing contemporary frameworks on it. In addition to treating the theory as a whole, the author uses textual and philological as well as philosophical material to interpret many important but difficult individual passages. A number of issues left obscure by the Aristotelian material are settled by reference to Euclid's geometrical practice in the Elements. To justify this use of Euclid, McKirahan makes a comparative analysis of fundamental features of Euclidian geometry with the corresponding elements of Aristotle's theory. Emerging from that discussion is a more precise and more complex picture of the relation between Aristotle's theory and Greek mathematics--a picture of mutual, rather than one-way, dependence. Originally published in 1992. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Book Knowledge and Demonstration

Download or read book Knowledge and Demonstration written by Orna Harari and published by Springer Science & Business Media. This book was released on 2005-02-15 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study explores the theoretical relationship between Aristotle’s theory of syllogism and his conception of demonstrative knowledge. More specifically, I consider why Aristotle’s theory of demonstration presupposes his theory of syllogism. In reconsidering the relationship between Aristotle’s two Analytics, I modify this widely discussed question. The problem of the relationship between Aristotle’s logic and his theory of proof is commonly approached from the standpoint of whether the theory of demonstration presupposes the theory of syllogism. By contrast, I assume the theoretical relationship between these two theories from the start. This assumption is based on much explicit textual evidence indicating that Aristotle considers the theory of demonstration a branch of the theory of syllogism. I see no textual reasons for doubting the theoretical relationship between Aristotle’s two Analytics so I attempt to uncover here the common theoretical assumptions that relate the syllogistic form of reasoning to the cognitive state (i. e. , knowledge), which is attained through syllogistic inferences. This modification of the traditional approach reflects the wider objective of this essay. Unlike the traditional interpretation, which views the Posterior Analytics in light of scientific practice, this study aims to lay the foundation for a comprehensive interpretation of the Posterior Analytics, considering this work from a metaphysical perspective. One of my major assertions is that Aristotle’s conception of substance is essential for a grasp of his theory of demonstration in general, and of the role of syllogistic logic in particular.

Book Aristotle and Logical Theory

Download or read book Aristotle and Logical Theory written by Jonathan Lear and published by Cambridge University Press. This book was released on 1980-05-08 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aristotle was the first and one of the greatest logicians. He not only devised the first system of formal logic, but also raised many fundamental problems in the philosophy of logic. In this book, Dr Lear shows how Aristotle's discussion of logical consequence, validity and proof can contribute to contemporary debates in the philosophy of logic. No background knowledge of Aristotle is assumed.

Book Aristotle s Modal Proofs

    Book Details:
  • Author : Adriane Rini
  • Publisher : Springer Science & Business Media
  • Release : 2010-12-13
  • ISBN : 9400700504
  • Pages : 246 pages

Download or read book Aristotle s Modal Proofs written by Adriane Rini and published by Springer Science & Business Media. This book was released on 2010-12-13 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aristotle’s modal syllogistic is his study of patterns of reasoning about necessity and possibility. Many scholars think the modal syllogistic is incoherent, a ‘realm of darkness’. Others think it is coherent, but devise complicated formal modellings to mimic Aristotle’s results. This volume provides a simple interpretation of Aristotle’s modal syllogistic using standard predicate logic. Rini distinguishes between red terms, such as ‘horse’, ‘plant’ or ‘man’, which name things in virtue of features those things must have, and green terms, such as ‘moving’, which name things in virtue of their non-necessary features. By applying this distinction to the Prior Analytics, Rini shows how traditional interpretive puzzles about the modal syllogistic melt away and the simple structure of Aristotle’s own proofs is revealed. The result is an applied logic which provides needed links between Aristotle’s views of science and logical demonstration. The volume is particularly valuable to researchers and students of the history of logic, Aristotle’s theory of modality, and the philosophy of logic in general.

Book Aristotle s Theory of Predication

Download or read book Aristotle s Theory of Predication written by Allan T. Bäck and published by BRILL. This book was released on 2016-06-21 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book claims that Aristotle followed an aspect theory of predication. On it statements make a basic assertion of existence that can be more or less qualified. It is claimed that the aspect theory solves many puzzles about Aristotle's philosophy and gives a new unity to his logic and metaphysics. The book considers Aristotle's views on predication relative to Greek philology, Aristotle's philosophical milieu, and the history and philosophy of predication theory. It offers new perspectives on such issues as existential import; the relation of Categories 2 & 4; the place of differentiae and propria; the predication of matter; unnatural predication; and the square of opposition. It ends by comparing Aristotle's theory with current ones.

Book Aristotle   s Theory of the Syllogism

Download or read book Aristotle s Theory of the Syllogism written by G. Patzig and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book is the English version of a monograph 'Die aristotelische Syllogistik', which first appeared ten years ago in the series of Abhand 1 lungen edited by the Academy of Sciences in Gottingen. In the preface to the English edition, I would first like to express my indebtedness to Mr. J. Barnes, now fellow of Oriel College, Oxford. He not only translated what must have been a difficult text with exemplary precision and ingenuity, but followed critically every argument and check ed every reference. While translating it, he has improved the book. Of those changes which I have made on Mr. Barnes' suggestion I note only the more important ones on pages 4, 12, 24sq, 32, 39, 6lsq, and 158. Since the second edition of the German text appeared in 1963 some further reviews have been published, or come to my notice, which I have 2 been able to make use of in improving the text of this new edition. I must mention here especially the detailed critical discussions of my results and arguments published by Professor W. Wieland in the Philosophische Rundschau 14 (1966), 1-27 and by Professor E. Scheibe in Gnomon 39 (1967), 454-64. Both scholars, while agreeing with the main drift and method of my interpretation, criticise some of my results and disagree with some of my arguments. It would not be possible to discuss these technical matters here with the necessary thoroughness.

Book Aristotle and Information Theory

Download or read book Aristotle and Information Theory written by Lawrence William Rosenfield and published by Walter de Gruyter. This book was released on 2011-12-01 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Philosophy of Argument and Audience Reception

Download or read book The Philosophy of Argument and Audience Reception written by Christopher W. Tindale and published by Cambridge University Press. This book was released on 2015-04-30 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book approaches the topic of argumentation from the perspective of audiences, rather than the perspective of arguers or arguments.

Book Aristotle s Theory of Actuality

Download or read book Aristotle s Theory of Actuality written by Z. Bechler and published by SUNY Press. This book was released on 1995-09-14 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an attack on Aristotle showing that his misplaced drive toward the consistent application of his actualistic ontology (denying the reality of all potential things) resulted in many of his major theses being essentially vacuous.

Book Galileo   s Logic of Discovery and Proof

Download or read book Galileo s Logic of Discovery and Proof written by W. A. Wallace and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is presented as a companion study to my translation of Galileo's MS 27, Galileo's Logical Treatises, which contains Galileo's appropriated questions on Aristotle's Posterior Analytics - a work only recently transcribed from the Latin autograph. Its purpose is to acquaint an English-reading audience with the teaching in those treatises. This is basically a sixteenth-century logic of discovery and of proof about which little is known in the present day, yet one that arguably guided the most significant research program of the seventeenth century. Despite its historical and systematic importance, the teaching is difficult to explain to the modern reader. Part of the problem stems from the fragmentary nature of the manuscript in which it is preserved, part from the contents of the teaching itself, which requires a considerable propadeutic for its comprehension. A word of explanation is thus required to set out the structure of the volume and to detail the editorial decisions that underlie its organization. Two major manuscript studies have advanced the cause of scholarship on Galileo within the past two decades. The first relates to Galileo's experimental activity at Padua prior to his discoveries with the telescope that led to the publication of his Sidereus nuncius in 1610. Much of this activity has been uncovered by Stillman Drake in analyses of manuscript fragments associated with the composition of Galileo's Two New Sciences, fragments now bound in a codex identified as MS 72 in the collection of Galileiana at the Biblioteca Nazionale Centrale in Florence.

Book Aristotle   s Modal Syllogistic

Download or read book Aristotle s Modal Syllogistic written by Marko Malink and published by Harvard University Press. This book was released on 2013-11-01 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Aristotle on Truth

    Book Details:
  • Author : Paolo Crivelli
  • Publisher : Cambridge University Press
  • Release : 2004-09-30
  • ISBN : 1139455664
  • Pages : 354 pages

Download or read book Aristotle on Truth written by Paolo Crivelli and published by Cambridge University Press. This book was released on 2004-09-30 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aristotle's theory of truth, which has been the most influential account of the concept of truth from Antiquity onwards, spans several areas of philosophy: philosophy of language, logic, ontology and epistemology. In this 2004 book, Paolo Crivelli discusses all the main aspects of Aristotle's views on truth and falsehood. He analyses in detail the main relevant passages, addresses some well-known problems of Aristotelian semantics, and assesses Aristotle's theory from the point of view of modern analytic philosophy. In the process he discusses most of the literature on Aristotle's semantic theory to have appeared in the last two centuries. His book vindicates and clarifies the often repeated claim that Aristotle's is a correspondence theory of truth. It will be of interest to a wide range of readers working in both ancient philosophy and modern philosophy of language.

Book Aristotle s Syllogistic Underlying Logic  His Model with His Proofs of Soundness and Completeness

Download or read book Aristotle s Syllogistic Underlying Logic His Model with His Proofs of Soundness and Completeness written by George Boger and published by College Publications. This book was released on 2022-05-05 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aristotle's Syllogistic Underlying Logic is a ground- breaking and thorough study of Aristotle's logic, including a new translation of select chapters of Prior Analytics that treat the logic's formal components. This study shows that Aristotle consciously modeled his Underlying Logic, that Prior Analytics is a metasystematic discourse with its own underlying logic. The author clearly demonstrates that Aristotle conceived his logic as natural by explicating his notion of human cognition, central to which is his epistemic concern with syllogistic mediation that restricts a syllogism to two premises. The study further represents Aristotle's philosophy of logic as having a fully developed ontology that underlies the epistemics of syllogistic argumentation. It identifies his distinctions between syntax and semantics and provides his definitions of logical consequence and deducibility to demonstrate his metasystematic sophistication. The study carefully sets out Aristotle's metasystematic analyses and his proof-theoretic demonstrations of the logic's soundness and completeness. Unlike previous scholarship, this study works with the entire corpus of the Organon - inclusive of On Expression, Predications, Topics, Sophistical Refutations and chapters of Metaphysics - to assemble Aristotle's underlying logic in Aristotle's own words with extensive citation of primary texts. The translations are accompanied by the original Greek texts that serve as a ready resource for comparative analyses. For the translation of Prior Analytics, the Greek text and the translation appear on facing pages. The author includes a set of principles used for making the translation. An especially innovative feature of the new translation is to block passages of the text and to insert subsection titles that help (1) to elucidate Aristotle's meaning, (2) to indicate the movement of his thinking, and (3) to reveal the careful and systematic character of his logical investigations. The reader will find, in one volume, a thorough and meticulous examination of the full compass of Aristotle's logical investigations that establish him as the founder of formal logic.

Book Five Proofs of the Existence of God

Download or read book Five Proofs of the Existence of God written by Edward Feser and published by Ignatius Press. This book was released on 2017-08-25 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Aristotle

    Book Details:
  • Author : Otfried Höffe
  • Publisher : State University of New York Press
  • Release : 2012-02-01
  • ISBN : 0791487253
  • Pages : 252 pages

Download or read book Aristotle written by Otfried Höffe and published by State University of New York Press. This book was released on 2012-02-01 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aristotle belongs to the small class of philosophers who were not only influential in a particular field of philosophy but also shaped the profile of every philosophical discipline. In this book Otfried Höffe provides a comprehensive introduction to the life and work of Aristotle, covering well-known Aristotelian topics such as ethics, politics, and metaphysics as well as the less familiar, such as biology, psychology, and rhetoric. Höffe also compares Aristotle to other major figures in the history of European (especially German) philosophy, making connections to Kant and Hegel that are particularly insightful. A picture of Aristotle emerges as a philosopher who is much more modern than previously thought, one whose writings are still relevant today and continue to make valuable contributions to many contemporary philosophical debates.

Book On the Heavens

Download or read book On the Heavens written by Aristotle and published by Phoemixx Classics Ebooks. This book was released on 2021-11-14 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: On the Heavens Aristotle - On the Heavens is Aristotle's chief cosmological treatise: written in 350 BC it contains his astronomical theory and his ideas on the concrete workings of the terrestrial world. This work is significant as one of the defining pillars of the Aristotelian worldview, a school of philosophy that dominated intellectual thinking for almost two millennia. Similarly, this work and others by Aristotle were important seminal works by which much of scholasticism was derived.

Book Commentators and Commentaries on Aristotle s Sophistici Elenchi

Download or read book Commentators and Commentaries on Aristotle s Sophistici Elenchi written by Sten Ebbesen and published by Brill Archive. This book was released on 1981 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: