Aristotle S Syllogisms

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  aristotle's syllogisms: Aristotle’s Theory of the Syllogism G. Patzig, 2013-03-09 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.
  aristotle's syllogisms: Aristotle's Syllogism and the Creation of Modern Logic Lukas M. Verburgt, Matteo Cosci, 2023-01-26 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.
  aristotle's syllogisms: Aristotle’s Modal Syllogistic Marko Malink, 2013-11-01 Aristotle developed a complex system of modal syllogistic which has been disputed since antiquity and is today widely regarded as incoherent. Combining analytic rigor with sensitivity to historical context, Marko Malink argues that the modal syllogistic forms an integrated system of logic, closely related to other areas of Aristotle’s philosophy.
  aristotle's syllogisms: The Aftermath of Syllogism Marco Sgarbi, Matteo Cosci, 2018-01-25 Syllogism is a form of logical argument allowing one to deduce a consistent conclusion based on a pair of premises having a common term. Although Aristotle was the first to conceive and develop this way of reasoning, he left open a lot of conceptual space for further modifications, improvements and systematizations with regards to his original syllogistic theory. From its creation until modern times, syllogism has remained a powerful and compelling device of deduction and argument, used by a variety of figures and assuming a variety of forms throughout history. The Aftermath of Syllogism investigates the key developments in the history of this peculiar pattern of inference, from Avicenna to Hegel. Taking as its focus the longue durée of development between the Middle Ages and the nineteenth century, this book looks at the huge reworking scientific syllogism underwent over the centuries, as some of the finest philosophical minds brought it to an unprecedented height of logical sharpness and sophistication. Bringing together a group of major international experts in the Aristotelian tradition, The Aftermath of Syllogism provides a detailed, up to date and critical evaluation of the history of syllogistic deduction.
  aristotle's syllogisms: Al-Farabi, Syllogism: An Abridgement of Aristotle’s Prior Analytics Saloua Chatti, Wilfrid Hodges, 2020-09-03 The philosopher Abu Nasr al-Farabi (c. 870-c. 950 CE) is a key Arabic intermediary figure. He knew Aristotle, and in particular Aristotle's logic, through Greek Neoplatonist interpretations translated into Arabic via Syriac and possibly Persian. For example, he revised a general description of Aristotle's logic by the 6th century Paul the Persian, and further influenced famous later philosophers and theologians writing in Arabic in the 11th to 12th centuries: Avicenna, Al-Ghazali, Avempace and Averroes. Averroes' reports on Farabi were subsequently transmitted to the West in Latin translation. This book is an abridgement of Aristotle's Prior Analytics, rather than a commentary on successive passages. In it Farabi discusses Aristotle's invention, the syllogism, and aims to codify the deductively valid arguments in all disciplines. He describes Aristotle's categorical syllogisms in detail; these are syllogisms with premises such as 'Every A is a B' and 'No A is a B'. He adds a discussion of how categorical syllogisms can codify arguments by induction from known examples or by analogy, and also some kinds of theological argument from perceived facts to conclusions lying beyond perception. He also describes post-Aristotelian hypothetical syllogisms, which draw conclusions from premises such as 'If P then Q' and 'Either P or Q'. His treatment of categorical syllogisms is one of the first to recognise logically productive pairs of premises by using 'conditions of productivity', a device that had appeared in the Greek Philoponus in 6th century Alexandria.
  aristotle's syllogisms: Aspects of Aristotle’s Logic of Modalities J. van Rijen, 2012-12-06
  aristotle's syllogisms: Aristotle's Modal Proofs Adriane Rini, 2010-12-13 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.
  aristotle's syllogisms: Epistemology After Sextus Empiricus Katja Maria Vogt, Justin Vlasits, 2020 Sextus Empiricus was the voice of ancient Greek skepticism for posterity, providing a model of skeptical philosophy that remains significant to this day. This volume collects essays discussing Sextus's influence in the history of modern philosophy as well as contemporary engagements with Sextus's version of Pyrrhonian skepticism.
  aristotle's syllogisms: Aristotle and Logical Theory Jonathan Lear, 1980-05-08 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.
  aristotle's syllogisms: The Virtue of Aristotle's Ethics Paula Gottlieb, 2009-04-27 This text looks at Aristotle's claims, particularly the much-maligned doctrine of the mean.
  aristotle's syllogisms: Reason and Human Good in Aristotle John M. Cooper, John Madison Cooper, 1986-01-01 Reason and Human Good in Aristotle opens up issues of interpretation which are as alive today as when it originally appeared. After almost two decades of extraordinary influence, this succinct book remains a 'must' for any serious bibliography of Aristotle's Ethics. -- Sarah Broadie, Princeton University
  aristotle's syllogisms: Hypothetical Syllogistic and Stoic Logic Anthony Speca, 2016-06-21 This volume traces the development of Aristotle’s hypothetical syllogistic through antiquity, and shows for the first time how it later became misidentified with the logic of the rival Stoic school. By charting the origins of this error, the book illuminates elements of Aristotelian logic that have been obscured for almost two thousand years, and raises important issues concerning the distinctive roles of semantic and syntactic analysis in theories of logical consequence. The first chapters of the book deal with the original Aristotelian hypothetical syllogistic, and explain how Aristotle’s later followers began to conflate it with Stoic logic. The final chapters examine in detail the two most crucial surviving treatments of the subject, Boethius’s On hypothetical syllogisms and On Cicero’s Topics, which carried this conflation into the Middle Ages.
  aristotle's syllogisms: Greek, Indian and Arabic Logic Dov M. Gabbay, John Woods, 2004-02-06 Greek, Indian and Arabic Logic marks the initial appearance of the multi-volume Handbook of the History of Logic. Additional volumes will be published when ready, rather than in strict chronological order. Soon to appear are The Rise of Modern Logic: From Leibniz to Frege. Also in preparation are Logic From Russell to Gödel, Logic and the Modalities in the Twentieth Century, and The Many-Valued and Non-Monotonic Turn in Logic. Further volumes will follow, including Mediaeval and Renaissance Logic and Logic: A History of its Central.In designing the Handbook of the History of Logic, the Editors have taken the view that the history of logic holds more than an antiquarian interest, and that a knowledge of logic's rich and sophisticated development is, in various respects, relevant to the research programmes of the present day. Ancient logic is no exception. The present volume attests to the distant origins of some of modern logic's most important features, such as can be found in the claim by the authors of the chapter on Aristotle's early logic that, from its infancy, the theory of the syllogism is an example of an intuitionistic, non-monotonic, relevantly paraconsistent logic. Similarly, in addition to its comparative earliness, what is striking about the best of the Megarian and Stoic traditions is their sophistication and originality.Logic is an indispensably important pivot of the Western intellectual tradition. But, as the chapters on Indian and Arabic logic make clear, logic's parentage extends more widely than any direct line from the Greek city states. It is hardly surprising, therefore, that for centuries logic has been an unfetteredly international enterprise, whose research programmes reach to every corner of the learned world.Like its companion volumes, Greek, Indian and Arabic Logic is the result of a design that gives to its distinguished authors as much space as would be needed to produce highly authoritative chapters, rich in detail and interpretative reach. The aim of the Editors is to have placed before the relevant intellectual communities a research tool of indispensable value.Together with the other volumes, Greek, Indian and Arabic Logic, will be essential reading for everyone with a curiosity about logic's long development, especially researchers, graduate and senior undergraduate students in logic in all its forms, argumentation theory, AI and computer science, cognitive psychology and neuroscience, linguistics, forensics, philosophy and the history of philosophy, and the history of ideas.
  aristotle's syllogisms: Analysis and Science in Aristotle Patrick H. Byrne, 1997-05-29 Offering a new interpretation of Aristotle's Analytics (the Prior and Posterior Analytics) as a unified whole, Patrick H. Byrne argues that a non-deductive form of ancient mathematical analysis influenced Aristotle's thinking. Reading the Analytics with this perspective in mind sheds new light on Aristotle's theories of the syllogism, demonstration and the principles of science. The book begins with a brief survey of ancient geometrical analysis and an investigation of Aristotle's uses of the Greek term, analuein. Byrne argues that to loose up or solve--rather than to reduce or break up--is the principal meaning which best characterizes Aristotle's Analytics. Extending this line of reasoning, he argues that for Aristotle scientific analysis commonly begins with knowledge of a mere fact (a conclusion) and seeks a rigorous demonstration which expresses knowledge of the reasoned fact. Moreover, genuine analysis of a fact into a reasoned fact cannot be accomplished unless the premises of demonstrations are themselves reasoned facts. Hence the processes which yield the immediate principles (especially definitions) are next investigated through detailed examinations of key examples which Aristotle provides.
  aristotle's syllogisms: Aristotele's Topics Paul Slomkowski, 1997 This work provides some interesting new results on the notion of the topos and the theory of hypothetical syllogisms in Aristotle based on an incisive interpretation of Aristotle's Topics and certain passages of the Analytics.
  aristotle's syllogisms: Aristotelian Assertoric Syllogistic Mohamed A. Amer, 2022-03-16 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.
  aristotle's syllogisms: A Companion to Aristotle Georgios Anagnostopoulos, 2013-04-29 The Blackwell Companion to Aristotle provides in-depth studies of the main themes of Aristotle's thought, from art to zoology. The most comprehensive single volume survey of the life and work of Aristotle Comprised of 40 newly commissioned essays from leading experts Coves the full range of Aristotle's work, from his 'theoretical' inquiries into metaphysics, physics, psychology, and biology, to the practical and productive sciences such as ethics, politics, rhetoric, and art
  aristotle's syllogisms: Aristotle and Augustine on Freedom T. Chappell, 1995-03-13 Aristotle and Augustine both hold that our beliefs in freedom and voluntary action are interdependent, and that voluntary actions can only be done for the sake of good. Hence Aristotle holds that no-one acts voluntarily in pursuit of evil: such actions would be inexplicable. Augustine, agreeing that such actions are inexplicable, still insists that they occur. This is the true place in Augustine's view of his 'theory of will' - and the real point of contrast between Aristotle and Augustine.
  aristotle's syllogisms: From Aristotle to Cicero Gisela Striker, 2022 This volume draws together a selection of Gisela Striker's essays from the last forty years in the areas of research for which she is best known: Aristotle's logic and ethics, and Hellenistic epistemology and ethics.
  aristotle's syllogisms: Aristotelian Logic William T. Parry, Edward A. Hacker, 1991-09-03 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's syllogisms: Encyclopedia of Ancient Greece Nigel Wilson, 2013-10-31 Examining every aspect of the culture from antiquity to the founding of Constantinople in the early Byzantine era, this thoroughly cross-referenced and fully indexed work is written by an international group of scholars. This Encyclopedia is derived from the more broadly focused Encyclopedia of Greece and the Hellenic Tradition, the highly praised two-volume work. Newly edited by Nigel Wilson, this single-volume reference provides a comprehensive and authoritative guide to the political, cultural, and social life of the people and to the places, ideas, periods, and events that defined ancient Greece.
  aristotle's syllogisms: Averroes's Three Short Commentaries on Aristotle's "Topics," "Rhetoric," and "Poetics" Averroes, Averroës, 1977-01-01 A bilingual edition of several of this influential twelfth-century philosopher's greatest works.
  aristotle's syllogisms: The Legacy of Aristotelian Enthymeme Fosca Mariani Zini, 2023-05-04 The Legacy of Aristotelian Enthymeme provides a historical-logical analysis of Aristotle's rhetorical syllogism, the enthymeme, through its Medieval and Renaissance interpretations. Bringing together notions of credibility and proof, an international team of scholars highlight the fierce debates around this form of argumentation during two key periods for Aristotle's beliefs. Reflecting on medieval and humanist thinkers, philosophers, poets and theologians, this volume joins up dialectical and rhetorical argumentation as key to the enthymeme's interpretation and shows how the enthymeme was the source of a major interpretive conflict. As a method for achieving the standards for proof and credibility that persist across diverse fields of study today including the law, politics, medicine and morality, this book takes in Latin and Persian interpretations of the enthymeme and casts contemporary argumentation in a new historical light.
  aristotle's syllogisms: 2400 YEARS OF THINKING WITH ARISTOTLE MIRCEA DUMITRU, CRISTIAN IFTODE, SAVU TOTU, 2020-01-01 „Studiind operele lui Aristotel, pare că eşti condus prin mai multe săli de expoziţie, fiecare ticsită cu probleme şi întrebări: acestea pot fi abordate dintr-un unghi sau din altul, preluate şi examinate, încercând analize diferite şi propunând diverse modalităţi de a le găsi o soluţie… Aristotel caută încă răspunsul – şi ne invită să-l căutăm împreună cu el” (Jonathan Barnes). De aproape 2400 de ani, filosofia lui Aristotel continuă să genereze dezbateri aprinse şi să inspire, în fiecare epocă, interpretări novatoare, într-un dialog neîntrerupt cu tradiţia intelectuală a Greciei antice. Reunind cercetători din toate generaţiile, cu abordări diferite şi variate subiecte de interes, editorii acestui volum speră să fi dovedit, încă o dată, caracterul complex şi inepuizabil al moştenirii aristotelice.
  aristotle's syllogisms: Fuzzy Techniques: Theory and Applications Ralph Baker Kearfott, Ildar Batyrshin, Marek Reformat, Martine Ceberio, Vladik Kreinovich, 2019-06-10 This book describes the latest findings related to fuzzy techniques, discussing applications in control, economics, education, humor studies, industrial engineering, linguistics, management, marketing, medicine and public health, military engineering, robotics, ship design, sports, transportation, and many other areas. It also presents recent fuzzy-related algorithms and theoretical results that can be used in other application areas. Featuring selected papers from the Joint World Congress of the International Fuzzy Systems Association (IFSA) and the Annual Conference of the North American Fuzzy Information Processing Society (NAFIPS) IFSA-NAFIPS’2019, held in Lafayette, Louisiana, USA, on June 18–21, 2019, the book is of interest to practitioners wanting to use fuzzy techniques to process imprecise expert knowledge. It is also a valuable resource for researchers wishing to extend the ideas from these papers to new application areas, for graduate students and for anyone else interested in problems involving fuzziness and uncertainty.
  aristotle's syllogisms: Alexander of Aphrodisias: On Aristotle Prior Analytics 1.23-31 Alexander Of Aphrodisias, 2014-04-10 In the second half of book 1 of the Prior Analytics, Aristotle reflects on the application of the formalized logic he has developed in the first half, focusing particularly on the non-modal or assertoric syllogistic developed in the first seven chapters. These reflections lead Alexander of Aphrodisias, the great late second-century AD exponent of Aristotelianism, to explain and sometimes argue against subsequent developments of Aristotle's logic and alternatives and objections to it, ideas associated mainly with his colleague Theophrastus and with the Stoics. The other main topic of this part of the Prior Analytics is the specification of a method for discovering true premises needed to prove a given proposition.Aristotle's presentation is sometimes difficult to follow, and Alexander's discussion is extremely helpful to the uninitiated reader. In his commentary on the final chapter translated in this volume, Alexander provides an insightful account of Aristotle's criticism of Plato's method of division.
  aristotle's syllogisms: Aristotle's Modal Logic Richard Patterson, 2002-08-22 Aristotle's Modal Logic, first published in 1995, presents an interpretation of Aristotle's logic by arguing that a proper understanding of the system depends on an appreciation of its connection to the metaphysics. Richard Patterson develops three striking theses in the book. First, there is a fundamental connection between Aristotle's logic of possibility and necessity, and his metaphysics, and that this connection extends far beyond the widely recognised tie to scientific demonstration and relates to the more basic distinction between the essential and accidental properties of a subject. Second, Aristotle's views on modal logic depend in very significant ways on his metaphysics without entailing any sacrifice in rigour. Third, once one has grasped the nature of the relationship, one can understand better certain genuine difficulties in the system of logic and appreciate its strengths in terms of the purposes for which it was created.
  aristotle's syllogisms: ARISTOTLE. THE FOUNDER OF LOGIC AND SCIENCE DAVID SANDUA, 2025-02-08 Aristotle was not only one of the greatest philosophers of antiquity but also the architect of logic and modern scientific thought. In this book, David Sandua delves into the life, work, and impact of the thinker who transformed our understanding of the world. From his education at Plato’s Academy to the founding of the Lyceum, Aristotle distinguished himself through his empirical approach and relentless pursuit of knowledge based on observation. The author explores Aristotle’s break from Platonic ideas, his development of the syllogism as a key tool for reasoning, his impact on biology and physics, and his influence on ethics and politics. The book highlights how his contributions shaped the evolution of Western thought, influencing medieval scholasticism, the Scientific Revolution, and contemporary philosophy. Through deep yet accessible analysis, the book reveals how Aristotle laid the foundations for formal logic and the scientific method, establishing principles that remain relevant today. A must-read for those seeking to understand Aristotle’s enduring relevance in shaping knowledge and reality.
  aristotle's syllogisms: The Oxford Handbook of Aristotle Christopher Shields, 2012-06-27 The Oxford Handbook of Aristotle reflects the lively international character of Aristotelian studies, drawing contributors from the United Kingdom, the United States, Germany, France, Switzerland, Italy, Canada, and Japan; it also, appropriately, includes a preponderance of authors from the University of Oxford, which has been a center of Aristotelian studies for many centuries. The volume equally reflects the broad range of activity Aristotelian studies comprise today: such activity ranges from the primarily textual and philological to the application of broadly Aristotelian themes to contemporary problems irrespective of their narrow textual fidelity. In between these extremes one finds the core of Aristotelian scholarship as it is practiced today, and as it is primarily represented in this Handbook: textual exegesis and criticism. Even within this more limited core activity, one witnesses a rich range of pursuits, with some scholars seeking primarily to understand Aristotle in his own philosophical milieu and others seeking rather to place him into direct conversation with contemporary philosophers and their present-day concerns. No one of these enterprises exhausts the field. On the contrary, one of the most welcome and enlivening features of the contemporary Aristotelian scene is precisely the cross-fertilization these mutually beneficial and complementary activities offer one another. The volume, prefaced with an introduction to Aristotle's life and works by the editor, covers the main areas of Aristotelian philosophy and intellectual enquiry: ethics, metaphysics, politics, logic, language, psychology, rhetoric, poetics, theology, physical and biological investigation, and philosophical method. It also, and distinctively, looks both backwards and forwards: two chapters recount Aristotle's treatment of earlier philosophers, who proved formative to his own orientations and methods, and another three chapters chart the long afterlife of Aristotle's philosophy, in Late Antiquity, in the Islamic World, and in the Latin West.
  aristotle's syllogisms: Analyses of Aristotle Jaakko Hintikka, 2006-04-11 Aristotle thought of his logic and methodology as applications of the Socratic questioning method. In particular, logic was originally a study of answers necessitated by earlier answers. For Aristotle, thought-experiments were real experiments in the sense that by realizing forms in one's mind, one can read off their properties and interrelations. Treating forms as independent entities, knowable one by one, committed Aristotle to his mode of syllogistic explanation. He did not think of existence, predication and identity as separate senses of estin. Aristotle thus serves as an example of a thinker who did not rely on the distinction between the allegedly different Fregean senses, thereby shedding new light on our own conceptual presuppositions. This collection comprises several striking interpretations that Jaakko Hintikka has put forward over the years, constituting a challenge not only to Aristotelian scholars and historians of ideas, but to everyone interested in logic, epistemology or metaphysics and in their history.
  aristotle's syllogisms: Aristotle's Modal Syllogisms Storrs McCall, 1963
  aristotle's syllogisms: Aristotle's Syllogistic Lynn E. Rose, 1968
  aristotle's syllogisms: Critical Approaches to Science and Philosophy Mario Bunge, This collection of essays, written on four continents by scientists, philosophers and humanists, was initially presented to Karl R. Popper on his sixtieth birthday as a token of critical admiration and in recognition of his work. But the volume also stands on its own as a remarkable series of statements utilizing Popper's critical vision in the study of philosophy proper, logic, mathematics, science as method and theory, and finally to the study of society and history. What is remarkable is that Popper worked in all of these areas, not in a cursory or discursive way, but with the utmost clarity and rigor. . The core position of this volume and its contributors is that the progress of knowledge is not a linear accumulation of definitive acquisitions but a zigzagging process in which counterexamples and unfavorable evidence ruin generalizations and prompt the invention of more comprehensive and sometimes deeper generalizations, to be criticized in their turn. A critical approach to problems, procedures, and results in every field of inquiry is therefore a necessary condition for the continuance of progress. The title of this volume then is, in a sense, an homage to Popper's critical rationalism and critical empiricism. The essays are a tribute to his unceasing and uncompromising quest, not for final certainty, but for closer truth and increased clarity. Among the contributors are outstanding figures in philosophy and the exact sciences in their own right, including Herbert Feigl, R. M. Hare, J.O. Wisdom, Nicholas Rescher, David Bohm, Paul K. Feyerabend, F. A. Hayek, and Adolf Grunbaum. Social science contributions include Hans Albert on social science and moral philosophy, W. B. Gallie, on the critical philosophy of history, Pieter Geyl on The Open Society and its Enemies, and George H. Nadel on the philosophy of History.
  aristotle's syllogisms: Signs and Demonstrations from Aristotle to Radulphus Brito Costantino Marmo, Francesco Bellucci, 2023-07-31 In the Posterior Analytics Aristotle contrasts demonstrations with syllogisms through signs. In the Prior Analytics he defines a sign as a demonstrative premise. One is thus led to ask: is a sign a demonstration? This book reconstructs the history of the notion of “demonstration through signs” from roughly the third through to the thirteenth century. It examines the work of Aristotle’s Greek, Arabic, and Latin commentators, both within and outside the tradition of the Posterior Analytics.
  aristotle's syllogisms: Rough Sets and Current Trends in Computing Chris Cornelis, Marzena Kryszkiewicz, Dominik Slezak, Ernestina Menasalvas Ruiz, Rafael Bello, Lin Shang, 2014-06-14 This book constitutes the refereed proceedings of the 9th International Conference on Rough Sets and Current Trends in Computing, RSCTC 2014, held in Granada and Madrid, Spain, in July 2014. RSCTC 2014 together with the Conference on Rough Sets and Emerging Intelligent Systems Paradigms (RSEISP 2014) was held as a major part of the 2014 Joint Rough Set Symposium (JRS 2014) The 23 regular and 17 short papers presented were carefully reviewed and selected from 120 submissions. They are organized in topical sections such as fuzzy logic and rough set: tools for imperfect information; fuzzy-rough hybridization; three way decisions and probabilistic rough sets; new trends in formal concept analysis and related methods; fuzzy decision making and consensus; soft computing for learning from data; web information systems and decision making; image processing and intelligent systems.
  aristotle's syllogisms: Conceptual Structures: Common Semantics for Sharing Knowledge Frithjof Dau, Marie-Laure Mugnier, Gerd Stumme, 2005-07-11 This book constitutes the refereed proceedings of the 13th International Conference on Conceptual Structures, ICCS 2005, held in Kassel, Germany, in July 2005. The 23 revised full papers presented together with 9 invited papers were carefully reviewed and selected from 66 submissions. The papers are organized in topical sections on theoretical foundations, knowledge engineering and tools, and knowledge acquisition and ontologies.
  aristotle's syllogisms: Aristotle's Syllogistic from the Standpoint of Modern Formal Logic Jan Łukasiewicz, 1954
  aristotle's syllogisms: Logic and Ontology in the Syllogistic of Robert Kilwardby Paul Thom, 2007-04-30 One of the earliest 13th-century Latin commentators on Aristotle, Robert Kilwardby (d.1279) is an original logician and an ingenious interpreter. This is the first full-length study of his Prior Analytics commentary, and the first study to work from the medieval manuscripts. Kilwardby interprets Aristotle's syllogistic within a broad ontological context that includes the four causes, and concepts of degrees of perfection. His interpretation aims to preserve Aristotle's theses as correct; and he formulates semantic and syntactic hypotheses that achieve this aim with almost total perfection. The book includes an appendix offering a modern rendering of Kilwardby's original logical ideas.
  aristotle's syllogisms: Ancient Logic and Its Modern Interpretations J. Corcoran, 2012-12-06 During the last half century there has been revolutionary progress in logic and in logic-related areas such as linguistics. HistoricaI knowledge of the origins of these subjects has also increased significantly. Thus, it would seem that the problem of determining the extent to which ancient logical and linguistic theories admit of accurate interpretation in modern terms is now ripe for investigation. The purpose of the symposium was to gather logicians, philosophers, linguists, mathematicians and philologists to present research results bearing on the above problem with emphasis on logic. Presentations and discussions at the symposium focused themselves into five areas: ancient semantics, modern research in ancient logic, Aristotle's logic, Stoic logic, and directions for future research in ancient logic and logic-related areas. Seven of the papers which appear below were originally presented at the symposium. In every case, discussion at the symposium led to revisions, in some cases to extensive revisions. The editor suggested still further revisions, but in every case the author was the finaljudge of the work that appears under his name.
  aristotle's syllogisms: Planetary Motions Norriss S. Hetherington, 2006-07-30 Students in an introductory physics class learn a variety of different, and seemingly unconnected, concepts. Gravity, the laws of motion, forces and fields, the mathematical nature of the science - all of these are ideas that play a central role in understanding physics. And one thing that connects all of these physical concepts is the impetus the great scientists of the past had to develop them - the desire to understand the motion of the planets of the solar system. This desire led to the revolutionary work of Copernicus and Galileo, Kepler and Newton. And their work forever altered how science is practiced and understood.
Aristotle - Wikipedia
Aristotle [A] (Attic Greek: Ἀριστοτέλης, romanized: Aristotélēs; [B] 384–322 BC) was an Ancient Greek philosopher and polymath. His writings cover a broad range of subjects spanning the …

Aristotle | Biography, Works, Quotes, Philosophy, Ethics, & Facts ...
6 days ago · Aristotle (born 384 bce, Stagira, Chalcidice, Greece—died 322, Chalcis, Euboea) was an ancient Greek philosopher and scientist, one of the greatest intellectual figures of …

Aristotle - Stanford Encyclopedia of Philosophy
Sep 25, 2008 · Aristotle (384–322 B.C.E.) numbers among the greatest philosophers of all time. Judged solely in terms of his philosophical influence, only Plato is his peer: Aristotle’s works …

Aristotle: Biography, Greek Philosopher, Western Philosophy
Aug 8, 2023 · Aristotle (c. 384 B.C. to 322 B.C.) was an Ancient Greek philosopher and scientist who is still considered one of the greatest thinkers in politics, psychology and ethics.

Aristotle - World History Encyclopedia
May 22, 2019 · Aristotle was a Greek philosopher who pioneered the systematic study of every branch of human knowledge so thoroughly that he came to be known as The Philosopher and, …

Aristotle - Internet Encyclopedia of Philosophy
Aristotle is a towering figure in ancient Greek philosophy, who made important contributions to logic, criticism, rhetoric, physics, biology, psychology, mathematics, metaphysics, ethics, and …

Aristotle: Life, Works, & Influence on Western Philosophy
Mar 26, 2025 · Aristotle (384 – 322 BCE) was a renowned ancient Greek philosopher who greatly influenced the world of philosophy, science, and logic. He is considered one of the most …

Aristotle: A Comprehensive Overview - Philosophos
Jun 12, 2023 · Aristotle was a prolific and influential philosopher who wrote on numerous topics. He is especially well-known for his works on logic, physics, metaphysics, ethics, and biology. …

Aristotle’s contributions to philosophy and science | Britannica
Aristotle, (born 384 bce, Stagira—died 322 bce, Chalcis), ancient Greek philosopher and scientist whose thought determined the course of Western intellectual history for two millennia. He was …

The Young and the Restless' Aristotle Dumas finally revealed — …
3 days ago · A bedroom at Aristotle Dumas' estate | Image: JPI. The cast of the French Riviera trip to Aristotle Dumas' estate: Michelle Stafford (Phyllis), Joshua Morrow (Nick), Courtney …

Aristotle - Wikipedia
Aristotle [A] (Attic Greek: Ἀριστοτέλης, romanized: Aristotélēs; [B] 384–322 BC) was an Ancient Greek philosopher and polymath. His writings cover a broad range of subjects spanning the …

Aristotle | Biography, Works, Quotes, Philosophy, Ethics, & Facts ...
6 days ago · Aristotle (born 384 bce, Stagira, Chalcidice, Greece—died 322, Chalcis, Euboea) was an ancient Greek philosopher and scientist, one of the greatest intellectual figures of Classical …

Aristotle - Stanford Encyclopedia of Philosophy
Sep 25, 2008 · Aristotle (384–322 B.C.E.) numbers among the greatest philosophers of all time. Judged solely in terms of his philosophical influence, only Plato is his peer: Aristotle’s works …

Aristotle: Biography, Greek Philosopher, Western Philosophy
Aug 8, 2023 · Aristotle (c. 384 B.C. to 322 B.C.) was an Ancient Greek philosopher and scientist who is still considered one of the greatest thinkers in politics, psychology and ethics.

Aristotle - World History Encyclopedia
May 22, 2019 · Aristotle was a Greek philosopher who pioneered the systematic study of every branch of human knowledge so thoroughly that he came to be known as The Philosopher and, …

Aristotle - Internet Encyclopedia of Philosophy
Aristotle is a towering figure in ancient Greek philosophy, who made important contributions to logic, criticism, rhetoric, physics, biology, psychology, mathematics, metaphysics, ethics, and …

Aristotle: Life, Works, & Influence on Western Philosophy
Mar 26, 2025 · Aristotle (384 – 322 BCE) was a renowned ancient Greek philosopher who greatly influenced the world of philosophy, science, and logic. He is considered one of the most …

Aristotle: A Comprehensive Overview - Philosophos
Jun 12, 2023 · Aristotle was a prolific and influential philosopher who wrote on numerous topics. He is especially well-known for his works on logic, physics, metaphysics, ethics, and biology. He is …

Aristotle’s contributions to philosophy and science | Britannica
Aristotle, (born 384 bce, Stagira—died 322 bce, Chalcis), ancient Greek philosopher and scientist whose thought determined the course of Western intellectual history for two millennia. He was …

The Young and the Restless' Aristotle Dumas finally revealed — …
3 days ago · A bedroom at Aristotle Dumas' estate | Image: JPI. The cast of the French Riviera trip to Aristotle Dumas' estate: Michelle Stafford (Phyllis), Joshua Morrow (Nick), Courtney Hope …