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. Combining analytic rigor with keen sensitivity to historical context, Marko Malink 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 and the ten categories. 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. While it acknowledges some limitations of this reconstruction, Aristotle's Modal Syllogistic brims with bold ideas, richly supported by close readings of the Greek texts. (shrink)

Michael J. Loux here presents a fresh reading of two of the most important books of the Metaphysics, Books Z and H, in which Aristotle presents his mature theory of primary substances. Focusing on the interplay of Aristotle's early and late views, Loux maintans that the later concept of ousia should be understood in terms of a theory of predication that carries interesting implications for contemporary metaphysics. Loux argues that in his first attempt in identifying ousiai in the Categories, Aristotle (...) encountered a set of ontological problems which he wrestled with again in Metaphysics Z and H. In the Categories, where the primary realities are basic subjects of predication construed in essentialist terms as things falling under natural kinds, familiar particulars are the primary ousiai. In subsequent works, Aristotle holds that since familiar particulars come into being and pass away, they must be composites of matter and form; and in Metaphysics Z and H, he explores the implications of this insight for the search for ousia. Maintaining that the substantial forms of familiar particulars are the primary ousiai, the later Aristotle interprets forms as predicable universals rather than as particulars, each uniquely possessed by a single object. (shrink)

Outstanding translations by leading contemporary scholars--many commissioned especially for this volume--are presented here in the first single edition to include the entire surviving corpus of works attributed to Plato in antiquity. In his introductory essay, John Cooper explains the presentation of these works, discusses questions concerning the chronology of their composition, comments on the dialogue form in which Plato wrote, and offers guidance on approaching the reading and study of Plato's works. Also included are concise introductions by Cooper and Hutchinson (...) to each translation, meticulous annotation designed to serve both scholar and general reader, and a comprehensive index. This handsome volume offers fine paper and a high-quality Smyth-sewn cloth binding in a sturdy, elegant edition. (shrink)

Tradução dos livros Z e H da Metafísica de Aristóteles, com introdução e notas. Translation of Aristotle's Metaphysics Books VII and VIII into Portuguese, with Introduction and Notes.

Translation of Aristotle's Posterior Analytics II into Portuguese, with a few notes, experimental glossary and introduction. The translation, which was made at 2002 (with a new printing in 2004), was preliminary and its publication was intended to provide a didactic tool for courses as well as a provisional resource in research seminars. It needs some revision. I am currently working (slowly...) on the revision of the translation and a new revised one will surely appear at some point.

Translation of Aristotle's Posterior Analytics I into Portuguese, with a few notes, experimental glossary and introduction. The translation, which was made at 2003/4, was preliminary and its publication was intended to provide a didactic tool for courses as well as a provisional resource in research seminars. It needs some revision. I am currently working (slowly...) on the revision of the translation and a new revised one will surely appear at some point.

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. (shrink)

In Posterior Analytics 71b9 12, we find Aristotle’s definition of scientific knowledge. The definiens is taken to have only two informative parts: scientific knowledge must be knowledge of the cause and its object must be necessary. However, there is also a contrast between the definiendum and a sophistic way of knowing, which is marked by the expression “kata sumbebekos”. Not much attention has been paid to this contrast. In this paper, I discuss Aristotle’s definition paying due attention to this contrast (...) and to the way it interacts with the two conditions presented in the definiens. I claim that the “necessity” condition ammounts to explanatory appropriateness of the cause. (shrink)

Kit Fine; XIV*—Ontological Dependence, Proceedings of the Aristotelian Society, Volume 95, Issue 1, 1 June 1995, Pages 269–290, https://doi.org/10.1093/aristote.

Pretendemos averiguar como Aristóteles concebe a passagem do nosso conhecimento prévio do mundo ao conhecimento científico, avaliando os pressupostos e consequências de sua resposta ao paradoxo de Mênon e atentando para a metodologia científica defendida nos Segundos Analíticos. Quanto ao conhecimento preliminar necessário à edificação da ciência, procuraremos caracterizar seus tipos e também os meios pelos quais ele pode vir a ser adquirido por nós. Buscaremos estabelecer também as propriedades que o conhecimento científico deve possuir em relação à sua necessidade, (...) universalidade e caráter explanatório. Buscaremos marcar, com precisão, a natureza da conclusão científica segundo a teoria científica aristotélica, argumentando que, nas conclusões, o atributo demonstrado, em relação com seu substrato, representa uma propriedade por si concomitante. Pretendemos averiguar como os diferentes tipos de demonstração e definição respondem a diferentes estágios de organização do saber prévio e a diferentes estágios na estruturação das demonstrações propriamente científicas, e, por conseguinte, como esses se organizam de modo a responder as quatro perguntas que toda investigação científica deve abarcar em seus dois estágios. (shrink)

Aristotle's General Definition of the Syllogism may be taken as consisting of two parts: the Inferential Conditions and the Final Clause. Although this distinction is well known, traditional interpretations neglect the Final Clause and its influence on syllogistic. Instead, the aforementioned tradition focuses on the Inferential Conditions only. We intend to show that this neglect has severe consequences not just on syllogistic but on the whole exegesis of Aristotle's Prior Analytics I. Due to these consequences, our objective is to analyse (...) the General Definition's Final Clause and its consequences on syllogistic. We propose a reading of the Final Clause as an additional criterion for distinguishing some arguments as properly syllogistic ones and as a main theme which connects all parts of the Prior Analytics I into one coherent piece of work. (shrink)

Aristotle's theory of demonstration, developed in the Posterior Analytics, is not restricted to determining the formal requirements for formulating probative arguments that establish properly the results of scientific investigation. To the probative aspect of demonstration it shall be added its primarily explanatory character, orientated by theses of strong ontological and metaphysical content and involving notions like substance, essence and causation. We shall analyze the relation between those two ranges of Aristotle's philosophy of science and investigate how the formal features of (...) demonstration maintain an affinity with the metaphysical background to which scientific activity is conditioned. (shrink)

De acordo com Aristóteles, conhecemos algo cientificamente quando apreendemos a causa pela qual essa coisa é e apreendemos, também, certa relação necessária entre aquilo que pretendemos conhecer e o que descobrimos ser a causa adequada que explica por que tal fato é o caso. Além disso, o filósofo identifica o conhecimento científico com a posse de um silogismo científico ou demonstração. Neste trabalho, analisamos a relação entre a teoria demonstrativa que Aristóteles desenvolve, principalmente, no livro I dos Segundos Analíticos e (...) sua teoria silogística dos Primeiros Analíticos I e tentamos responder por que o conhecimento científico deve ser via silogismo. Também procuramos explicitar como as noções de causa e de necessidade, pelas quais Aristóteles define o conhecimento científico, são contempladas pela exigência de que as proposições de uma demonstração sejam per se. Finalmente, discutiremos como essas noções de per se, necessidade e causa se encaixam na estrutura silogística, uma vez que conhecer algo cientificamente é possuir um silogismo científico. (shrink)

This chapter argues in favour of three interrelated points. First, I argue that demonstration (as expression of scientific knowledge) is fundamentally defined as knowledge of the appropriate cause for a given explanandum: to have scientific knowledge of the explanandum is to explain it through its fully appropriate cause. Secondly, I stress that Aristotle’s notion of cause has a “triadic” structure, which fundamentally depends on the predicative formulation (or “regimentation”) of the explanandum. Thirdly, I argue that what has motivated Aristotle to (...) choose the syllogism as a demonstrative tool was precisely the fact that syllogisms are apt to express causal relations in their triadic structure. Instead of complaining against Aristotle’s preference for the syllogisms as demonstrative tools, I argue that Aristotle was fully aware of the advantages of regimenting the explanandum into a predication. One of these advantages is to abandon a purely extensional standpoint and to highlight the importance of the notion of relevancy in explanation. (shrink)

Collective volume with papers by alumni and students from the Campinas Aristotle Group.

This paper discusses whether there is room for knowledge of causal relations between events in Aristotle's theory of science as developed in the Posterior Analytics. My focus is on Aristotle's analysis of the fourth sense of kath' hauto or per se predication.

I discuss what Aristotle means when he say that scientific demonstration must proceed from necessary principles. I argue that, for Aristotle, scientific demonstration should not be reduced to sound deduction with necessary premises. Scientific demonstration ultimately depends on the fully appropriate explanatory factor for a given explanandum. This explanatory factor is what makes the explanandum what it is. Consequently, this factor is also unique. When Aristotle says that demonstration must proceed from necessary principles, he means that each demonstration requires the (...) principle that is the necessary one for the fully appropriate explanation of its explanandum. This picture also provides a key to understand Aristotle's thesis that scientific explanation depends on essences: it is the essence of the attribute to be explained that should be stated as the fully appropriate explanatory factor. (shrink)

One of the earliest and most influential treatises on the subject of this volume is Aristotle's Categories. Aristotle's title is a form of the Greek verb for speaking against or submitting an accusation in a legal proceeding. By the time of Aristotle, it also meant: to signify or to predicate. Surprisingly, the "predicates" Aristotle talks about include not only bits of language, but also such nonlinguistic items as the color white in a body and the knowledge of grammar in a (...) man's soul. (Categories I/ii) Equally surprising are such details as Aristotle's use of the terms 'homonymy' and 'synonymy' in connection with things talked about rather than words used to talk about them. Judging from the evidence in the Organon, the Metaphysics, and elsewhere, Aristotle was both aware of and able to mark the distinction between using and men tioning words; and so we must conclude that in the Categories, he was not greatly concerned with it. For our purposes, however, it is best to treat the term 'predication' as if it were ambiguous and introduce some jargon to disambiguate it. Code, Modrak, and other authors of the essays which follow use the terms 'linguistic predication' and 'metaphysical predication' for this. (shrink)

This paper discusses the contrast between scientific knowledge and opinion as it is presented by Aristotle in Posterior Analytics A.33. Aristotle's contrast is formulated in terms of understanding or not understanding some "necessary items". I claim that the contrast can only be understood in terms of explanatory relevance. The "necessary items" are middle terms (or explanatory factors) that are necessary for the fully appropriate explanation. This approach gives a coherent interpretation of each step in the chapter.

I argue, firstly, that the accounts of 'accident' in Aristotle's Met. V 30 and in Top. I 5 cannot be used to elucidate each other: the Metaphysics passage tries to disentangle the uses of a Greek word, the Topics passage introduces technical terms for Aristotle's semantics. I then argue that the positive definition in Top. I 5 is to be understood in the following way: X is an accident of Y iff X belongs to Y and if there is a (...) Z such that X can belong to Z and also not belong to Z. Thus, being white is an accident of snow. I finally argue that certain shortcomings in the Topics account lead Aristotle to redefine accident in the Posterior Analytics. (shrink)

Translation of Aristotle's Physics I-II into Portuguese, with commentaries. Tradução para o português dos livros I e II da Física de Aristóteles, com comentários.

This book discusses Aristotle’s notions of essence and substance as they are developed in Metaphysics ZH. I examine Aristotle's argument at length and defends an unorthodox interpretation according to which his motivation is to provide an answer against a conflation between criteria for existential priority (delivering substances as primary beings) and criteria for explanatory priority (delivering essences as primary principles).

This is an introductory handbook for some of the main themes around the notion of predication in Aristotle. It does not aim at being exhaustive, but only sketches some important lines about the subject; it contains an introductory essay, besides the translation (into Portuguese) and commentary of basic texts (such as Posterior Analytics I-22, Categories 1-5, Interpretation 1-6 etc.).

I examine Aristotle’s definition of scientific knowledge in Posterior Analytics 71b 9-12 and try to understand how it relates to the sophistical way of knowing and to "kata sumbebekos knowledge". I claim that scientific knowledge of p requires knowing p by its appropriate cause, and that this appropriate cause is a universal (katholou) in the restricted sense Aristotle proposes in 73b 26-27 ff., i.e., an attribute coextensive with the subject (an extensional feature) and predicated of the subject in itself (an (...) intensional feature). Kata sumbebekos knowledge, on the other hand, can occur even when the predicate of a conclusion is coextensive with its subject and is proved by a convertible meson which is not the most appropriate from an explanatory standpoint. (shrink)

I discuss some of Aristotle’s scattered remarks from which one can construct his conception of matter. Aristotle seems to oscillate between two conceptions: one in which matter is the principle of becoming, another in which matter is a constituent element with no contribution for processes of becoming. Sometimes Aristotle takes matter as a thing independent in itself, and the correlated form is a feature that does not contribute to the matter’s essence, nor is a necessary condition for its existence. But (...) sometimes Aristotle takes matter as a constituent element the existence of which depends on the whole thing it is the matter of. These different approaches to matter seem to suggest an inconsistent theory of matter. However, I argue that, quite to the contrary, Aristotle has a consistent theory about matter. One of my main points is to distinguish contexts in which Aristotle is indeed talking about matter in general from contexts in which he uses the term “matter” to refer to a given thing that was previously taken as matter and to talk about that thing not qua matter, but qua the thing it is. (shrink)

This paper explores some aspects of Aristotle’s notion of subject for predications. I examine the argument Aristotle develops in Posterior Analytics I.22, 83a1-14. I argue that the notion advanced by Aristotle in that argument is different from the one found in his Categories, although they are far from being incompatible with each other. I also add some philological considerations to justify the Portuguese translation of “hypokeimenon” as “algo subjacente” (“underlying thing”) instead of “sujeito” (“subject”).

I discuss in this paper the six requirements Aristotle advances at Posterior Analytics A-2, 71b20-33, for the premisses of a scientific demonstration. I argue that the six requirements give no support for an intepretation in terms of “axiomatization”. Quite on the contrary, the six requirements can be consistently understood in a very different picture, according to which the most basic feature of a scientific demonstration is to explain a given proposition by its appropriate cause.

This paper examines Aristotle’s notion of priority with the specific aim of capturing the sort of priority that characterizes the primacy of substances in his metaphysics. I reject the traditional interpretation, which understands the ontological priority of substances in terms of independent existence. But there are rather two sorts of priority: the ontological priority of substances should be understood in terms of completeness, whereas the ontological priority of “substances-of-something” (the essences) is a causal-explanatory priority. Furthermore, an important piece of Aristotle’s (...) argument against Platonism is that these two sorts of priority – namely, the completeness priority and the causal-explanatory priority – should be kept distinct. (shrink)

It is common to think of essence along modal lines: the essential truths, on this approach, are a subset of the necessary truths. But Aristotle conceives of the necessary truths as being distinct and derivative from the essential truths. Such a non-modal conception of essence also constitutes a central component of the neo-Aristotelian approach to metaphysics defended over the last several decades by Kit Fine. Both Aristotle and Fine rely on a distinction between what belongs to the essence proper of (...) an object and what merely follows from the essence proper of an object. In order for this type of approach to essence and modality to be successful, we must be able to identify an appropriate consequence relation which in fact generates the result that the necessary truths about objects follow from the essential truths. I discuss some proposals put forward by Fine and then turn to Aristotle’s account: Aristotle’s central idea, to trace the explanatory power of definitions to the causal power of essences has the potential to open the door to a philosophically satisfying response to the question of why certain things are relevant, while others are irrelevant, to the nature or essence of entities. If at all possible, it would be desirable for example to have something further to say by way of explanation to such questions as ‘Why is the number 2 completely irrelevant to the nature of camels?’. (shrink)

In his Posterior Analytics Aristotle confronted a problem that threatened his vision of scientific knowledge as an axiomatic system: if scientific knowledge is demonstrative in character, and if the axioms of a science cannot themselves be demonstrated, then the most basic of all scientific principles will remain unknown. In the famous concluding chapter of this work (II 19), he claimed to solve this problem by distinguishing two kinds of knowledge: we cannot have epistêmê of the first principles, but we can (...) have nous of them. This ‘solution’ has struck many students of his thought as hopelessly ad hoc and unpersuasive. And nowhere is Aristotle less persuasive than when he appeals to a faculty of intuition or a priori insight which arrives on the scene precisely when it is most needed. I defend Aristotle’s account by showing how nous is not properly characterized as a faculty of intuition which operates independently of sense experience. Rather, nous is a kind of knowledge that is available to us whenever our mind advances from the perception of particular individuals to grasp the relevant universal concept or general principle. (shrink)

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. (shrink)

This book treats ancient logic: the logic that originated in Greece by Aristotle and the Stoics, mainly in the hundred year period beginning about 350 BCE. Ancient logic was never completely ignored by modern logic from its Boolean origin in the middle 1800s: it was prominent in Boole’s writings and it was mentioned by Frege and by Hilbert. Nevertheless, the first century of mathematical logic did not take it seriously enough to study the ancient logic texts. A renaissance in ancient (...) logic studies occurred in the early 1950s with the publication of the landmark Aristotle’s Syllogistic by Jan Łukasiewicz, Oxford UP 1951, 2nd ed. 1957. Despite its title, it treats the logic of the Stoics as well as that of Aristotle. Łukasiewicz was a distinguished mathematical logician. He had created many-valued logic and the parenthesis-free prefix notation known as Polish notation. He co-authored with Alfred Tarski’s an important paper on metatheory of propositional logic and he was one of Tarski’s the three main teachers at the University of Warsaw. Łukasiewicz’s stature was just short of that of the giants: Aristotle, Boole, Frege, Tarski and Gödel. No mathematical logician of his caliber had ever before quoted the actual teachings of ancient logicians. -/- Not only did Łukasiewicz inject fresh hypotheses, new concepts, and imaginative modern perspectives into the field, his enormous prestige and that of the Warsaw School of Logic reflected on the whole field of ancient logic studies. Suddenly, this previously somewhat dormant and obscure field became active and gained in respectability and importance in the eyes of logicians, mathematicians, linguists, analytic philosophers, and historians. Next to Aristotle himself and perhaps the Stoic logician Chrysippus, Łukasiewicz is the most prominent figure in ancient logic studies. A huge literature traces its origins to Łukasiewicz. -/- This Ancient Logic and Its Modern Interpretations, is based on the 1973 Buffalo Symposium on Modernist Interpretations of Ancient Logic, the first conference devoted entirely to critical assessment of the state of ancient logic studies. (shrink)

A discussion of Aristotle’s thought on determinism and culpability, Necessity, Cause, and Blame also reveals Richard Sorabji’s own philosophical commitments. He makes the original argument here that Aristotle separates the notions of necessity and cause, rejecting both the idea that all events are necessarily determined as well as the idea that a non-necessitated event must also be non-caused. In support of this argument, Sorabji engages in a wide-ranging discussion of explanation, time, free will, essence, and purpose in nature. He also (...) provides historical perspective, arguing that these problems remain intimately bound up with modern controversies. “ Necessity, Cause and Blame would be counted by all as one of Sorabji’s finest. The book is essential for philosophers—both specialists on the Greeks and modern thinkers about free will—and also compelling for non-specialists.”—Martha Nussbaum “Original and important . . . The book relates Aristotle’s discussions to both the contemporary debates on determinism and causation and the ancient ones. It is especially detailed on Stoic arguments about necessity . . . and on the social and legal background to Aristotle’s thought.”— Choice “It is difficult to convey the extraordinary richness of this book. . . . A Greekless philosopher could read it with pleasure . . . At the same time, its learning and scholarship are enormous.”—G. E. M. Anscombe, Times Literary Supplement. (shrink)

David Charles presents a major new study of Aristotle's views on meaning, essence, necessity, and related topics. These interconnected views are central to Aristotle's metaphysics, philosophy of language, and philosophy of science, and are also highly relevant to current philosophical debates. Charles aims to reach a clear understanding of Aristotle's claims and arguments, to assess their truth, and to evaluate their importance to ancient and modern philosophy.