In the Organon Aristotle describes some deductive schemata in which inconsistencies do not entail the trivialization of the logical theory involved. This thesis is corroborated by three different theoretical topics by him discussed, which are presented in this paper. We analyse inference schema used by Aristotle in the Protrepticus and the method of indirect demonstration for categorical syllogisms. Both methods exemplify as Aristotle employs classical reductio ad absurdum strategies. Following, we discuss valid syllogisms from opposite premises (contrary (...) and contradictory) studied by the Stagerian in the Analytica Priora (B15). According to him, the following syllogisms are valid from opposite premises, in which small Latin letters stand for terms such as subject and predicate, and capital Latin letters stand for the categorical propositions such as in the traditional notation: (i) in the second figure, Eba,Aba ` Eaa (Cesare), Aba, Eba ` Eaa (Camestres), Eba, I ba ` Oaa (Festino), and Aba,Oba ` Oaa (Baroco); (ii) in the third one, Eab,Aab ` Oaa (Felapton), Oab,Aab ` Oaa (Bocardo) and Eab, Iab ` Oaa (Ferison). Finally, we discuss the passage from the Analytica Posteriora (A11) in which Aristotle states that the Principle of Non-Contradiction is not generally presupposed in all demonstrations (scientific syllogisms), but only in those in which the conclusion must be proved from the Principle; the Stagerian states that if a syllogism of the first figure has the major term consistent, the other terms of the demonstration can be each one separately inconsistent. These results allow us to propose an interpretation of his deductive theory as a broad sense paraconsistent theory. Firstly, we proceed to a hermeneutical analysis, evaluating its logical significance and the interplay of the results with some other points of Aristotle’s philosophy. Secondly, we point to a logical interpretation of the Aristotelian syllogisms from opposite premises in the antilogisms method proposed by Christine Ladd-Franklin in 1883, and we also present a logical treatment of the Aristotelian demonstration with inconsistent material in the paraconsistent logics Cn, 1 _ n _!, introduced by da Costa in 1963. These two issues seem having not yet been analysed in detail in the literature. (shrink)

No Órganon Aristóteles descreve alguns esquemas dedutivos nos quais a presença de inconsistências não acarreta a trivialização da teoria lógica envolvida. Esta tese é corroborada por três diferentes situações teóricas estudadas por ele, as quais são apresentadas neste trabalho. Analizamos o esquema de inferência utilizado por Aristóteles no Protrepticus e o método de demonstração indireta para os silogismos categóricos. Ambos os métodos exemplificam como Aristóteles emprega estratégias de redução ao absurdo logicamente clássicas. Na sequência, discutimos os silogismos válidos a partir (...) de premissas opostas (contrárias e contraditórias) estudadas pelo Estagirita no Analytica Priora (B15). De acordo com o autor, os seguintes silogismos são válidos a partir de premissas opostas, nos quais letras latinas minúsculas denotam termos como sujeito e predicado, enquanto que letras latinas maiúsculas denotam proposições categóricas tal como na notação tradicional: (i) na segunda figura, Eba,Aba ` Eaa (Cesare), Aba, Eba ` Eaa (Camestres), Eba, I ba ` Oaa (Festino), e Aba,Oba ` Oaa (Baroco); (ii) na terceira, Eab,Aab ` Oaa (Felapton), Oab,Aab ` Oaa (Bocardo) e Eab, Iab ` Oaa (Ferison). Por fim, discutimos a passagem do Analytica Posteriora (A11) no qual Aristóteles enuncia que o Princípio de Não-Contradição não é, em geral, pressuposto de toda demonstração (silogismo científico), mas apenas daquelas nas quais a conclusão deve ser provada a partir do Princípio; o Estagirita enuncia que se um silogismo da primeira figura tiver o termo maior consistente, os outros termos da demonstração podem ser separadamente inconsistentes. Estes resultados permitem-nos propor uma interpretação de sua teoria dedutiva como uma teoria paraconsistente lato sensu. Primeiramente, efetuamos uma análise hermenêutica, avaliando seu significado lógico e a correlação desses resultados com outros aspectos da filosofia de Aristóteles. Em segundo lugar, consignamos uma interpretação dos silogismos aristotélicos a partir de premissas opostas à luz dos antilogismos propostos por Christine Ladd-Franklin em 1883, e da demonstração aristotélica com termos inconsistentes nas lógicas paraconsistentes Cn, 1 n !, introduzidas por da Costa em 1963. Esses dois aspectos não parecem ter sido ainda detalhadamente analisados na literatura. DOI:10.5007/1808-1711.2010v14n1p71. (shrink)

The Politics is one of the most influential texts in the history of political thought, and it raises issues which still confront anyone who wants to think seriously about the ways in which human societies are organized and governed. By examining the way societies are run--from households to city states--Aristotle establishes how successful constitutions can best be initiated and upheld. For this edition, Sir Ernest Barker's fine translation, which has been widely used for nearly half a century, has been (...) extensively revised to meet the needs of the modern reader. The accessible introduction and clear notes examine the historical and philosophical background of the work and discuss its significance for modern political thought. (shrink)

This article examines the main aspects of Husserl's phenomenology, which are analyzed in "Appearance and Sense" by Gustav Shpet: the relation between sense and comprehension and between noesis and noema. Shpet emphasizes the hermeneutical theme of "comprehension" as a resolutive dimension to solve aspects not clarified by Husserl. Shpet's critical enquiry, in the course of his subsequent observation, converge into an hermeneutical logic. Shpet identifies the centrality of language as a form of thinking, through the recovery of Humbodt's meaning of (...) the "inner form". (shrink)

In 1999, da Silva, D'Ottaviano and Sette proposed a general definition for the term translation between logics and presented an initial segment of its theory. Logics are characterized, in the most general sense, as sets with consequence relations and translations between logics as consequence-relation preserving maps. In a previous paper the authors introduced the concept of conservative translation between logics and studied some general properties of the co-complete category constituted by logics and conservative translations between them. In this paper (...) we present some conservative translations involving classical logic, Lukasiewicz three-valued system L3, the intuitionistic system I1 and several paraconsistent logics, as for instance Sette's system P1, the D'Ottaviano and da Costa system J3 and da Costa's systems Cn, 1≤ n≤ω. (shrink)

Joe Sachs has followed up his brilliant translation of Aristotle's Physics with a new translation of Metaphysics. Sachs's translations bring distinguished new light onto Aristotle's works, which are foundational to history of science. Sachs translates Aristotle with an authenticity that was lost when Aristotle was translated into Latin and abstract Latin words came to stand for concepts Aristotle expressed with phrases in everyday Greek language. When the works began being translated into English, those abstract Latin (...) words or their cognates were used, thus suggesting a level of jargon and abstraction, and in some cases misleading interpretation, which was not Aristotle's language or style. These important new translations open up Aristotle's original thought to readers. (shrink)

In 1999, da Silva, D'Ottaviano and Sette proposed a general definition for the term translation between logics and presented an initial segment of its theory. Logics are characterized, in the most general sense, as sets with consequence relations and translations between logics as consequence-relation preserving maps. In a previous paper the authors introduced the concept of conservative translation between logics and studied some general properties of the co-complete category constituted by logics and conservative translations between them. In this paper (...) we present some conservative translations involving classical logic, Lukasiewicz three-valued system L₃, the intuitionistic system Iⁱ and several para-consistent logics, as for instance Sette's system Pⁱ, the D'Ottaviano and da Costa system J₃ and da Costa's systems $\text{C}_{n}$ , 1 ≤ n ≤ ω. (shrink)

The Joint Non-Trivialization Theorem, two Definability Theorems and the generalized Quantifier Elimination Theorem are proved for J 3-theories. These theories are three-valued with more than one distinguished truth-value, reflect certain aspects of model type logics and can. be paraconsistent. J 3-theories were introduced in the author's doctoral dissertation.

Edited by Richard McKeon, with an introduction by C.D.C. Reeve Preserved by Arabic mathematicians and canonized by Christian scholars, Aristotle’s works have shaped Western thought, science, and religion for nearly two thousand years. Richard McKeon’s The Basic Works of Aristotle—constituted out of the definitive Oxford translation and in print as a Random House hardcover for sixty years—has long been considered the best available one-volume Aristotle. Appearing in paperback at long last, this edition includes selections from the Organon, (...) On the Heavens, The Short Physical Treatises, Rhetoric, among others, and On the Soul, On Generation and Corruption, Physics, Metaphysics, Nicomachean Ethics, Politics, and Poetics in their entirety. (shrink)

In this paper we present a new hierarchy of analytical tableaux systems TNDC n, 1≤n (...) and also prove that these systems are logically equivalent to the corresponding systems Cn, 1≤nshrink)

This work presents some basic results on a theory of translations between logics and a short revision about Łukasiewicz's logics. Then, it is shown, using facts about algebraic semantics, that there is a conservative translation from every finite Łukasiewicz's logic into classical logic. However, this is not a constructive result.

This reissue of Richard Robinson's classic volume on Aristotle's Politics contains his clear and accurate translation of, and commentary on, books III and IV, brought up to date by a supplementary essay and new bibliography by David Keyt. This is the ideal companion to study these important books of a classic text in the history of political philosophy.

In On the Parts of Animals, Aristotle develops his systematic principles for biological investigation and explanation, and applies those principles to explain why the different animals have the different parts that they do. This new translation and commentary reflects the subtlety and detail of Aristotle's reasoning.

Aristotle is without question the founder of the science of biology. In his treatise On the Parts of Animals, he develops his systematic principles for biological investigation, and explanation, and applies those principles to explain why the different animal kinds have the different parts that they do. It is one of the greatest achievements in the history of science. This new translation from the Greek aims to reflect the subtlety and detail of Aristotle's reasoning. The commentary provides help (...) in understanding each argument as well as an integrated account of the goals and methods of the work taken as a whole. (shrink)

The eighth book of Aristotle's Physics is the culmination of his theory of nature. He discusses not just physics, but the origins of the universe and the metaphysical foundations of cosmology and physical science. He moves from the discussion of motion in the cosmos to the identification of a single source and regulating principle of all motion, and so argues for the existence of a first `unmoved mover'. Daniel Graham offers a clear, accurate new translation of this key text (...) in the history of Western thought, and accompanies the translation with a careful philosophical commentary to guide the reader towards an understanding of the wealth of important and influential arguments and ideas that Aristotle puts forward. (shrink)

Arthur Madigan presents a clear, accurate new translation of the third book of Aristotle's Metaphysics, together with two related chapters from the eleventh book. Madigan's accompanying introduction and commentary give detailed guidance to these texts, in which Aristotle sets out what he takes to be the main problems of metaphysics or 'first philosophy' and assesses possible solutions to them; he takes his starting-point from the work of earlier philosophers, especially Plato and some of the Presocratics. These texts serve (...) as a useful introduction both to Aristotle's own work on metaphysics and to classical metaphysics in general; they are also a good example of Aristotle's dialectical method, which reasons not from known truths but from reputable opinions. (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)

Books V and VI of Aristotle's Politics constitute a manual on practical politics. In the fifth book Aristotle examines the causes of faction and constitutional change and suggests remedies for political instability. In the sixth book he offers practical advice to the statesman who wishes to establish, preserve, or reform a democracy or an oligarchy. He discusses many political issues, theoretical and practical, which are still widely debated today--revolution and reform, democracy and tyranny, freedom and equality. David Keyt (...) presents a clear and accurate new translation of these books, together with a commentary which, though primarily philosophical, also supplies a key to Aristotle's many historical references. It is intended to guide readers towards a proper understanding of this classic text in the history of political thought, and does not assumes knowledge of Greek or of ancient history and politics. (shrink)

This article discusses the text of seven passages in the etymological books 5–7 of Varro's De lingua Latina, and proposes new conjectures for all of them. The discussions are of direct relevance to the interpretation of fragments and testimonies of lost Latin authors quoted by Varro: the scenic poets Naevius, Pacuvius, Caecilius Statius, Juventius and Atilius, and the grammarian Aurelius Opillus. The starting point for the discussions is the new Oxford edition of Varro's De lingua Latina by Wolfgang de Melo.

Eudemian ethics -- Nicomachean ethics -- Magna moralia -- Virtues and vices.

In this paper we present a new hierarchy of analytical tableaux systems TNDC n, 1≤n<ω, for da Costa's hierarchy of propositional paraconsistent logics Cn, 1≤n<ω. In our tableaux formulation, we introduce da Costa's “ball” operator “o”, the generalized operators “k” and “(k)”, for 1≤k, and the negations “~k”, for k≥1, as primitive operators, differently to what has been done in the literature, where these operators are usually defined operators. We prove a version of Cut Rule for the TNDC n, 1≤n<ω, (...) and also prove that these systems are logically equivalent to the corresponding systems Cn, 1≤n<ω. The systems TNDC n constitute completely automated theorem proving systems for the systems of da Costa's hierarchy Cn, 1≤n<ω. (shrink)

This new edition of Aristotle's Nicomachean Ethics is an accurate, readable and accessible translation of one of the world's greatest ethical works. Based on lectures Aristotle gave in Athens in the fourth century BCE, Nicomachean Ethics is one of the most significant works in moral philosophy, and has profoundly influenced the whole course of subsequent philosophical endeavour. It offers seminal, practically oriented discussions of many central ethical issues, including the role of luck in human well-being, moral education, responsibility, (...) courage, justice, moral weakness, friendship and pleasure, with an emphasis on the exercise of virtue as the key to human happiness. This second edition offers an updated editor's introduction and suggestions for further reading, and incorporates the line numbers as well as the page numbers of the Greek text. With its emphasis on accuracy and readability, it will enable readers without Greek to come as close as possible to Aristotle's work. (shrink)

v. 1. Nicomachean ethics. Politics. The Athenian Constitution. Rhetoric. On Poetics.--v. 2. Logic.--v. 3. Physics. Metaphysics. On the soul. Short physical treaties.--v. 4. On the heavens. On generation and corruption. Meteorology. Biological treatises.

Aristotle was the first philosopher in the Western tradition to address politics systematically and empirically, and he remains a central figure in political theory. This essential volume presents Aristotle's complete political writings—including his Politics, Economics, and Constitution of Athens—in their most authoritative translations, taken from the complete works that is universally recognized as the standard English edition. Edited by Jonathan Barnes, one of the world’s leading scholars of ancient philosophy, and with an illuminating introduction by Melissa Lane, an (...) authority on ancient political philosophy, this compact but comprehensive volume will be invaluable for all students of politics, philosophy, classics, or Western thought. (shrink)

This volume contains the Great Ethics together with the Eudemian Ethics, the Politics and the Economics. The translations of Aristotle by Taylor are unique amongst those of modern times because Thomas Taylor was convinced - as were the neoplatonists of late antiquity - that Aristotle should be read and understood as a Platonist rather than as a dissenter from his teacher.

Aristotle's celebrated work setting forth his system of moral philosophy is preceded by a survey of his life, writings, and understanding of ethics.

Hicks' edition of the De Anima contains valuable commentary from Hicks as well as useful summaries of the views of earlier commentators.