Aristotle, great Greek philosopher, researcher, reasoner, and writer, born at Stagirus in 384 BCE, was the son of Nicomachus, a physician, and Phaestis. He studied under Plato at Athens and taught there ; subsequently he spent three years at the court of a former pupil, Hermeias, in Asia Minor and at this time married Pythias, one of Hermeias's relations. After some time at Mitylene, in 343?2 he was appointed by King Philip of Macedon to be tutor of his teen-aged son (...) Alexander. After Philip's death in 336, Aristotle became head of his own school, the Lyceum at Athens. Because of anti-Macedonian feeling there after Alexander's death in 323, he withdrew to Chalcis in Euboea, where he died in 322. Nearly all the works Aristotle prepared for publication are lost; the priceless ones extant are lecture-materials, notes, and memoranda. They can be categorized as follows: I Practical: Nicomachean Ethics; Great Ethics ; Eudemian Ethics; Politics; Economics ; On Virtues and Vices. II Logical: Categories; Analytics ; Interpretation; Refutations used by Sophists; Topica. III Physical: Twenty-six works including astronomy, generation and destruction, the senses, memory, sleep, dreams, life, facts about animals, etc. IV Metaphysics: on being as being. V Art: Rhetoric and Poetics. VI Other works including the Constitution of Athens; more works also of doubtful authorship. VII Fragments of various works such as dialogues on philosophy and literature; and of treatises on rhetoric, politics and metaphysics. The Loeb Classical Library edition of Aristotle is in twenty-three volumes. (shrink)

In Books VIII and IX of his masterpiece of moral philosophy, the Nicomachean Ethics, Aristotle gives perhaps the most famous of all philosophical discussions of friendship. Michael Pakaluk presents the first systematic study in English of these books, showing how important Aristotle's treatment of friendship is to his ethics as a whole. Pakaluk's fresh and scrupulously accurate translation is accompanied by a detailed philosophical commentary which reveals the remarkably coherent structure of the books and unfolds with lucidity the various (...) arguments contained within Aristotle's terse and compressed text. Pakaluk looks at the logical form of Aristotle's analysis of friendship, at his subtle view of the relationship between friendship and justice, at the role of reciprocity in friendship, at civic friendship and its relation to the family, and at the development of friendship out of self-love and reflexive consciousness. This volume will be a valuable tool for anyone studying Aristotle's ethics, especially readers with no Greek. (shrink)

In De Partibus Animalium I Aristotle sets out his philosophy of biology, discussing cause, necessity, soul, genus, and species, definition by logical division, and general methodology. In De Generatione Animalium I he applies his hylomorphic philosophy to the problem of animal reproduction. The translation is close, and includes passages from De Generatione Animalium II which complete Aristotle's theory of reproduction. The notes interpret Aristotle's arguments and discuss his views on major issues such as natural teleology. The original edition (...) was published in 1972. (shrink)

vol. I. Logic: Categoriae. De interpretatione. Analytica priora. Analytica posteriora.--vol. II. Natural philosophy: Physica. De caelo. De generatione et corruptione.--vol. III. Psychology: De anima. Parva Naturalia.--vol. IV. Metaphysics: Metaphysica.--vol. V. Ethics: Ethica Nicomachea.--vol. VI. Politics and poetics: Politica. De poetica.

Book synopsis: For the Pre-Socratic philosophers the soul was the source of movement and sensation, while for Plato it was the seat of being, metaphysically distinct from the body that it was forced temporarily to inhabit. Plato's student Aristotle was determined to test the truth of both these beliefs against the emerging sciences of logic and biology. His examination of the huge variety of living organisms - the enormous range of their behaviour, their powers and their perceptual sophistication - (...) convinced him of the inadequacy both of a materialist reduction and of a Platonic sublimation of the soul. In De Anima, he sought to set out his theory of the soul as the ultimate reality of embodied form and produced both a masterpiece of philosophical insight and a psychology of perennially fascinating subtlety. (shrink)

Dans les Refutations sophistiques (sixieme et dernier des traites logiques rassembles sous le titre d'Organon), Aristote analyse et classe les differents types de paralogismes que commettent les sophistes qui s'emploient a refuter leurs interlocuteurs dans le cadre d'un echange dialectique. Assez curieusement, l'erudition contemporaine, qui a pourtant multiplie les etudes sur la dialectique d'Aristote, s'est peu interessee aux Refutations sophistiques, si bien que ce traite peut a bon droit etre tenu pour le parent pauvre de la recherche aristotelicienne. Les plus (...) recents commentaires des Refutations sophistiques remontent en effet a la fin du XIXe siecle. La presente etude, qui offre une longue introduction, une traduction inedite et un commentaire approfondi des Refutations sophistiques, vise a combler une importante lacune et a reveler l'interet d'une oeuvre qui a ete injustement negligee. (shrink)

Aristotle created logic and developed it to a level of great sophistication. There was nothing there before; and it took more than two millennia for something better to come around. The astonishment experienced by readers of the Prior Analytics, the most important of Aristotle's works that present the discipline, is comparable to that of an explorer discovering a cathedral in a desert. This article explains and evaluates some of Aristotle's views about propositions and syllogisms. The most important (...) omission is the difficult subject of syllogisms involving modalities. Aristotle distinguishes two relations of opposition that can obtain between propositions with the same subject- and predicate-expressions: contrariety and contradiction. In every canonical syllogism, one term is common to the two premises: it is called “middle term,” or simply “middle.” The remaining two terms of the premises are the only ones occurring in the conclusion: they are called “extreme terms,” or simply “extremes.”. (shrink)

Aristotle’s biology is based on his method of division of animal kinds by multiple differentiae. This results in complex clusters of non-subordinate terms, between which Aristotle seeks to establish universal correlations. The form of these, however, does not correspond to that prescribed by his theory of syllogism. Mereological relations between terms are not linear and quantification is far more complex than the distinction between universal and particular propositions. Thus the axiomatisation of Aristotle’s biology requires a tool designed for analysing such (...) complex universal correlations into valid syllogistic premises. Prosleptic-like premises turn out to be the solution outlined by Aristotle. They make it possible to handle both the logic of consequence which translates from and into mereological relations between term clusters, and the complex quantification required by division based on multiple differentiæ, through the instantiation of a variable ideally consisting of indivisible groups of animals. (shrink)

This is the most interesting contemporary study of Aristotle’s syllogistic I have seen. The author combines a genuine insight into Aristotle’s way of thinking with a useful grasp of contemporary logical theory. He uses contemporary notions like compactness, completeness, consistency, and the like in such a way as genuinely to illuminate Aristotle’s thought, rather than to obfuscate it or to reduce classical patterns of reasoning to those of our day. In other words, he shows how Aristotle’s central doctrines are in (...) many cases anticipations of contemporary concepts, thereby establishing a continuity in logical theory which goes at least some steps toward mitigating the effects of historicism in the domain of the history of logic. His style is as lucid as the subject-matter permits. The book is accessible to anyone with a minimum knowledge of syllogistic and some of the central notions of present-day metamathematics. Not the least helpful feature of the book is its quiet correction of errors made by the author’s predecessors in the analytical tradition’s attempt to assimilate Aristotle into current technical procedures. (shrink)

A connection between Aristotle's syllogistic and the calculus of relations is investigated. Aristotle's and Gergonne's syllogistics are considered as some algebraic structures. It is proved that Gergonne's syllogistic is isomorphic to closed elements algebra of a proper approximation relation algebra. This isomorphism permits to evaluate Gergonne's syllogisms and also Aristotle's syllogisms, laws of conversion and relations in the "square of oppositions" by means of regular computations with Boolean matrices.

We begin with an introductory overview of contributions made by more than twenty scholars associated with the Philosophy Department at the University of Buffalo during the last half-century to our understanding and evaluation of Aristotle's logic. More well-known developments are merely mentioned in..

Contemporary philosophical discourse has deeply problematized the possibility of absolute existence. Hegel’s Foundation Free Metaphysics demonstrates that by reading Hegel’s Doctrine of the Concept in his Science of Logic as a form of Absolute Dialetheism, Hegel’s logic of the concept can account for the possibility of absolute existence. Through a close examination of Hegel’s concept of self-referential universality in his Science of Logic, Moss demonstrates how Hegel’s concept of singularity is designed to solve a host of metaphysical (...) and epistemic paradoxes central to this problematic. He illustrates how Hegel’s revolutionary account of universality, particularity, and singularity offers solutions to six problems that have plagued the history of Western philosophy: the problem of nihilism, the problem of instantiation, the problem of the missing difference, the problem of absolute empiricism, the problem of onto-theology, and the third man regress. Moss shows that Hegel’s affirmation and development of a revised ontological argument for God’s existence is designed to establish the necessity of absolute existence. By adopting a metaphysical reading of Richard Dien Winfield’s foundation free epistemology, Moss critically engages dominant readings and contemporary debates in Hegel scholarship. Hegel’s Foundation Free Metaphysics will appeal to scholars interested in Hegel, German Idealism, 19th- and 20th-century European philosophy, metaphysics, epistemology, and contemporary European thought. (shrink)

I provide a survey of the contents of the works belonging to Aristotle's Organon in order to define their nature, in the light of his declared intentions and of other indications (mainly internal ones) about his purposes. No unifying conception of logic can be found in them, such as the traditional one, suggested by the very title Organon, of logic as a methodology of demonstration. Logic for him can also be formal logic (represented in the (...) main by the De Interpretatione), axiomatized syllogistic (represented in the main by the Prior Analytics) and a methodology of dialectical and rhetorical discussion. The consequent lack of unity presented by those works does not exclude that both the set of works called Analytics and the set of works concerning dialectic (Topics and Sophistici Elenchi) form a unity, and that a certain priority is attributed to the analytics with respect to dialectic. (shrink)

We begin with an introductory overview of contributions made by more than twenty scholars associated with the Philosophy Department at the University of Buffalo during the last half-century to our understanding and evaluation of Aristotle’s logic. More well-known developments are merely mentioned in order to make room to focus on issues at the center of attention from the beginning: existential import and, more generally, the analysis of categorical propositions. I include a list of the UB scholars, a list of (...) collaborators and supporters from fellow institutions, a bibliography of relevant publications by UB scholars, and a bibliography of important related works. (shrink)

We begin with an introductory overview of contributions made by more than twenty scholars associated with the Philosophy Department at the University of Buffalo during the last half-century to our understanding and evaluation of Aristotle's logic. More well-known developments are merely mentioned in order to make room to focus on issues at the center of attention from the beginning: existential import and, more generally, the analysis of categorical propositions. I include a list of the UB scholars, a list (...) of collaborators and supporters from fellowinstitutions, a bibliography of relevant publications by UB scholars, and a bibliography of important related works. (shrink)

This paper examines the quest for the quantification of the predicate, as discussed by W.S. Jevons, and relates it to the discussion about universals and particulars between Plato and Aristotle. We conclude that the quest for the quantification of the predicate can only be achieved by stripping the syllogism from its metaphysical heritage.

Critical discussion of Alan Code's paper "Aristotle's Investigation of a Basic Logical Principle: Which Science Investigates the Principle of Non-Contradiction?".

Context: Maturana’s work is not easy to follow. Correct and full understanding of his work has still to be achieved in spite of its importance. Problem: The objective of this paper is to investigate the core logic penetrating Maturana’s wide-ranging work and to place his work in the history of western thought. Method: Through intensive reading of his wide-ranging work, I intended to grasp the core biological structure that he advocates, namely, his core logic. Results: Maturana’s biology is (...) the biology of structural determinism. It is embodied in a composite entity called a “structure-determined system” with two non-intersecting domains - the domain of interactions and the domain of the composition of components – which can be called the core structure or the core logic of his biology. From the perspective of the history of western thought, Aristotle and Schopenhauer can be regarded as good candidates as the precursors of Maturana’s work, and his work can be characterized as an advanced form of Aristotle’s hylomorphism, depicted on the horizon of Schopenhauer’s world of “Vorstellung” (bringing-forth). Implications: This finding will be useful for understanding Maturana’s wide-ranging work and its place in the history of western thought. (shrink)

This chapter contains sections titled: Knowledge and Analysis The Relation Between Prior and Posterior Analytics Syllogistic Interpretations of Aristotle's Syllogistic Logic Knowledge of Facts Aristotelian Causes Demonstration Principles Definitions and Demonstrations Necessity Science and Dialectic Fallibility Applicability Readings of Aristotle's Theory of Science Epistemological Status of the Analytics Bibliography.

This study of three central themes in the logic of Alexander of Aphrodisias, the greatest of the ancient Aristotelian commentators, provides insight not only into Aristotle's logical writings but also into the tradition of scholarship which they spawned.

This study of three central themes in the logic of Alexander of Aphrodisias, the greatest of the ancient Aristotelian commentators, provides insight not only into Aristotle's logical writings but also into the tradition of scholarship which they spawned.

Richard Janko's acclaimed translation of Aristotle's _Poetics_ is accompanied by the most comprehensive commentary available in English that does not presume knowledge of the original Greek. Two other unique features are Janko's translations with notes of both the _Tractatus Coislinianus_, which is argued to be a summary of the lost second book of the Poetics, and fragments of Aristotle’s dialogue On Poets, including recently discovered texts about catharsis, which appear in English for the first time.

Aristotle’s treatment of mixed, first-figure, problematic-assertoric syllogisms has generated a good deal of controversy among modern commentators.I argue that W.D.Ross’s criticism of A.Becker’s cr...

This paper examines the quest for the quantification of the predicate, as discussed by W.S. Jevons, and relates it to the discussion about universals and particulars between Plato and Aristotle. We conclude that the quest for the quantification of the predicate can only be achieved by stripping the syllogism from its metaphysical heritage.

The ancient commentators remain the last body of important Greek writings to be translated into any modern language and this series under the general editorship of Richard Sorabji meets this need. The present volume is especially important both because of its intrinsic interest and because through Porphyry the Categories became a basic textbook of logic with the Neoplatonic school.

In the introductory first chapter the author states his conviction that Aristotle’s theory of learning, at the center of which stands the apodeictic syllogism, is inadequate because partial. Chapter 2 is a balanced survey of Aristotle’s syllogistic, which does not serve the purpose of discovery, but is intended to turn into science knowledge already acquired. All learning proceeds from preexisting knowledge which is structured by demonstration. Next Bauman turns to Plato’s theory of learning as present in the Meno: learning is (...) remembering. His account of the Socratic method of making a disciple see the truth by pertinent questions is excellent. He warns us to avoid extreme interpretations of ἀνάμνησις. According to Aristotle, Plato confounded the process of remembering with induction. The process of learning consists in the passing from opinion to knowledge. Aristotle’s theory as explained in the Posterior Analytics widely differs from Plato’s. In chapter 5, Bauman examines whether the syllogism based on a universal major is a petitio principii, a charge laid against it ever since antiquity and repeated by John Stuart Mill. For Mill, induction is the only form of real inference, but Bauman shows that Mill’s position is not correct. Aristotle sets up a method which allows us to understand why things are the way they are and to pass on knowledge. In chapter 6, Bauman compares Aristotle’s method with what teachers usually do and with how textbook authors conceive the passing on of knowledge. Some previous knowledge is necessary for all teaching. Aristotle focused on how the sciences should be taught, showing how conclusions are implicitly contained in principles or can be deduced from them. Bauman thinks that this is restricting learning far too much and remains unsatisfactory. He disagrees with Aristotle’s statement that all scientific knowledge is expressible in propositions in the indicative mood. The syllogism cannot be the only mode for all teaching. This difficulty, however, can be solved when one keeps in mind what strictly scientific knowledge in the Aristotelian sense is, and that there are other forms of knowledge such as opinion, factual knowledge, and dialectic. Furthermore one should also consider that the syllogism is basic to all forms of reasoning, even if there are syllogisms of different types. A printing mistake on page 191, line 13 should be corrected.—Leo J. Elders, Institute for Philosophy, “Rolduc,” Kerkrade, The Netherlands. (shrink)

ARISTOTLE’S chapter-long digression in the Peri Hermenias to remark a restriction of the law of the excluded middle has touched off reams of commentary, logical, metaphysical and theological. For the theologian, God’s omniscience and human freedom were each at stake; for the metaphysician, the status of time; and logicians professed to find here an application for their remote exercises in trivalent logics. But whatever be the concern of the commentator, a glance at any one of them is likely to discourage (...) a student from pursuing a question which seems destined only to further entangle itself. (shrink)

In the Neoplatonic schools, introductions to logic, and the Categories in particular, would begin with a list of ten different questions relating to Aristotle's philosophy and his ideal interpreter and student. Olympiodorus' own introduction to logic follows this pattern; he expands on the remarks of his own teacher Ammonius of Alexandria, and closely models his discussion on his predecessor's work. In the standard list of ten questions that must be discussed in an introductory philosophy course, the third (...) relates to the subject with which the student is to start his or her philosophical education. Which of logic, ethics, natural science and mathematics is the proper starting-point for philosophy? (shrink)

'God necessarily exists, since it is not possible for things to be otherwise, as Aristotle shows in the Metaphysics.' So Mehmed II, the Ottoman conqueror of both Constantinople and Trebizond, tells George Amiroutzes, the Byzantine scholar and native of Trebizond, in the beginning of Amiroutzes' dialogue The Philosopher, or On Faith. The dialogue is a literary recreation of the conversations between Mehmed, a Muslim, and Amiroutzes, a Christian. In the course of The Philosopher, the two debate the role of (...) class='Hi'>logic and rationality in religious debate, the nature of God, and the fate of the body and soul in the afterlife. Surprisingly complex and subtle arguments emerge, firmly situated in their fifteenth-century context but steeped in the long Greek philosophical tradition. Previously known only from a sixteenth-century Latin translation, The Philosopher was recently rediscovered in a Greek manuscript in Toledo. In this volume, John Monfasani presents both the editio princeps of this manuscript and the first translation of the text from the Greek, with an introduction that discusses the life of Amiroutzes and the text as well as two appendixes that offer texts and translations of two additional documents related to Amiroutzes and The Philosopher. (shrink)

Die Suche nach historischen Quellen für die Leibniz’sche Philosophie scheint zunächst unerschöpflich. Durch alle in diesem Band versammelten Arbeiten wird der Einfluss der Philosophie des Aristoteles auf das Leibniz’sche Denken näher umrissen. Ein wesentliches Ziel ist es hierbei, einen Beitrag zur Analyse dieser philosophischen Beziehung zu leisten und zu zeigen, dass auch Aristoteles’ Philosophie nach Ansicht unserer Autoren entscheidend zum Verständnis des Leibniz’schen Denkens beiträgt. Die Texte befassen sich mit wesentlichen Themen der Leibniz’schen Logik und Metaphysik, z. B. mit den (...) Grundbegriffen „Monade“ (und deren „Körperhaftigkeit“), „Entelechie“, „Nous“, mit dem Problem der Individuation (Individuum, Atomismus, Einheit), mit den substanziellen Formen, mit der Wissenschaft im Allgemeinen und der Technik, mit der Transformation der Logik, mit den Prinzipien (nämlich denjenigen des zureichenden Grundes, der Individuation und der Notwendigkeit), mit Zukunft und Kontingenz sowie Vergänglichkeit, mit der Theorie der syllogistischen Folgerung, usw. Diese Themen werden stets in der Gegenüberstellung von Leibniz und Aristoteles behandelt – sie zeigen daher, wie Leibniz aristotelische Thesen übernahm, veränderte oder kritisierte. The search for the historical sources of Leibniz’s philosphy initially seems to be unending. All the essays in this volume outline more clearly the influence of Aristotle’s philosophy on Leibniz’s thought. In this context a fundamental aim is to contribute to the analysis of this philosophical relationship and to demonstrate that Aristotle’s philosophy, in the opinion of our authors, plays a decisive role in the understanding of Leibniz’s thought. The texts address fundamental themes of Leibniz’s logic and metaphysics, e.g. the basic concepts of ‘monads’ (and their ‘corporality’), ‘entelechy’ and ‘nous; the problem of individuation (individual, atomism, unity); substantial forms; knowledge in general, and technology; the transformation of logic; principles (namely those of sufficient grounds, of individuation and of necesssity); future and contingency and transientness; the theory of syllogistic deduction, etc. These themes are regularly considered in the comparison between Leibniz and Aristotle – they demonstrate how Leibniz took over, treated or criticised Aristotelian theses. (shrink)

The problem of Galileo's logical methodology has long interested scholars. In this volume William A. Wallace offers a solution that is completely unexpected, yet backed by convincing documentary evidence. His analysis starts with an early notebook Galileo wrote at Pisa, appropriating a Jesuit professor's exposition of the Posterior Analystics of Aristotle, and ends with one of the last letters Galileo wrote, stating that in logic he has been a Peripatetic all his life. Wallace's detective work unearths the complete (...) class='Hi'>logic course from which the notebook was excerpted, then proceeds to show how its terminology and methodology continue to surface in Galileo's later writings in which he founds his new sciences of the heavens and of local motion. The result is a tour de force that commends itself not only to Galileo's scholars and to logicians, philosophers, and historians, but to anyone interested in the epistemic roots of modern science. (shrink)

Rosenfield says rhetorical critics agree that the purpose of criticism is to "study the effects of rhetorical discourse". But he claims such a study, like all theoretical analysis, must work through the medium of a set of theoretical concepts. They intervene between us and what we analyze, and contribute to what we are able to say about what exists on the other side of the theoretical grid. In this case, concepts of cause and effect are most important, since rhetorical effects (...) are to be studied. The author then examines two theories of rhetoric, that of Aristotle and that of "information theorists," to see how concepts of cause-effect influence each. He says he need not examine Aristotle’s concept of cause as it works in describing the heavens, nor in theology, nor in "reference to a logical ‘Unmoved Mover'," because such uses do not apply directly to human behavior moreover we cannot interpret Aristotle consistently, "for he contradicts himself" ; moreover we need not depend on Aristotle’s own "explicit statements". The author aims not at providing "an interpretation of Aristotle as revealed in his words," but his attitude of mind, treating his "corpus" in a "flexible" way, allowing "his mind to range away from the printed page". He then proposes to imagine what sort of ideas a sophisticated man like Aristotle, living in a "primitive" society, might have about force, change, etc. This will provide the "foundation" for the author’s interpretation of Aristotle. He goes on to speak about perfective impulses, active and acquiescent powers, dynamic re-alignment, dynamic equilibrium, tendency to order, and referential grids. There are no fewer than 138 references to Aristotle in 36 pages, many long citations, taken from many different works of the Philosopher. Occasionally a remark will point out the difference between Aristotle’s world-view and ours; for instance after quoting Aristotle to the effect that living things need food and perish without it, the author says, "If Aristotle had possessed our vocabulary, he might have said that stable contexts and processes exhibit homeostatic characteristics. However, without the benefit of our experience or terminology, he had to approach such concepts obliquely". (shrink)

An interpretation of Aristotle's modal syllogistic is proposed which is intuitively graspable, if only formally correst. The individuals to which a term applies, and possibly-applies, are supposed to be determined in a uniform way by the set of individuals to which the term necessarily-applies.