A novel rereading of the relationship between ethics and ontology in Aristotle.

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.

The main topic of this essay is symbolic mathematics or the method of symbolic construction, which I trace to the end of the sixteenth century when Franciscus Vieta invented the algebraic symbolism and started to use the word ‘symbolic’ in the relevant, non-ontological sense. This approach has played an important role for many of the great inventions in modern mathematics such as the introduction of the decimal place-value system of numeration, Descartes’ analytic geometry, and Leibniz’s infinitesimal calculus. It was also (...) central for the rigorization movement in mathematics in the late nineteenth century, as well as for the mathematics of modern physics in the 20th century.However, the nature of symbolic mathematics has been concealed and confused due to the strong influence of the heritage from the Euclidean and Aristotelian traditions. This essay sheds some light on what has been concealed by approaching some of the crucial issues from a historical perspective. Furthermore, I argue that the conception of modern mathematics as symbolic mathematics was essential to Wittgenstein’s approach to the foundations and nature of mathematics. This connection between Wittgenstein’s thought and symbolic mathematics provides the resources for countering the still prevalent view that he defended an uttrely idiosyncratic conception, disconnected from the progress of serious science. Instead, his project can be seen as clarifying ideas that have been crucial to the development of mathematics since early modernity. (shrink)

The paper is devoted to Aristotle's solution to Meno's paradox: a person cannot search for what he knows -- he knows it, and there is no need to search for such a thing -- nor for what he doesn't know -- since he doesn't know what he's searching for. The autor argues that Aristotle proposes solutions of this paradox for every stage of cognition, not only for exercising available scientific knowledge as regarded by most Aristotelian scholars. He puts more focus (...) on the importance of the distinction between 'progignoskein' (pre-existing cognition) and 'proepistasthai' (pre-existong knowledge) for Aristotle's solution of this paradox. [In Russian]. (shrink)

Me propongo ofrecer una interpretación unificada de la metodología aristotélica y mostrar que ella se integra en un empirismo híbrido en el cual se combina la doble naturaleza de los phainomena , hechos observacionales y creencias comunes. Polemizaré con la lectura coherentista de la prueba dialéctica de consistencia que se expresa en EN VII 1, y trataré de aclarar qué uso hace Aristóteles de aquella doble fuente de sus investigaciones en algunos textos de ciencia natural ( Ph . IV 4).

Since at least late antiquity, Aristotle’s Prior Analytics B 23 has been misread. Aristotle does not think that an induction is a syllogism made good by complete enumeration. The confusion can be eliminated by considering the nature of the surviving text and watching very closely Aristotle’s moving back and forth between “induction” and “syllogism from induction.” Though he does move freely between them, the two are not synonyms.

Scholarship on Aristotle’s NICOMACHEAN ETHICS (hereafter “the Ethics”) flourishes in an almost unprecedented fashion. In the last ten years, universities in North America have produced on average over ten doctoral dissertations a year that discuss the practical philosophy that Aristotle espouses in his Nicomachean Ethics, Eudemian Ethics, and Politics. Since the beginning of the millennium there have been three new translations of the entire Ethics into English alone, several more that translate parts of the work into English and other modern (...) languages, and half a dozen collections of new articles discussing Aristotle’s Ethics. Such an outpouring of scholarship has produced an almost unmanageable wave of books, articles, and reviews. Through my topical bibliography, I seek to organize this wealth of scholarly writing so as to make it manageable both to scholars working across the disciplines of philosophy, classics, history, and politics, and to scholars pursuing theses on specific topics within the Ethics. The bibliography takes as its model and is much indebted to that compiled by Barnes, Schofield, and Sorabji in their Articles on Aristotle, Volume 2: Ethics and Politics (1977), which was further updated and incorporated into the complete bibliography to all of Aristotle’s writings in Barnes’s Cambridge Companion to Aristotle (1995). Although I have taken guidance from their model, my bibliography differs in one main respect. Whereas Barnes et al. were more selective and annotated their bibliography, I have been more comprehensive in my inclusion of items. I have sought to include all books and journal articles concerned with the Ethics written in English over the last 120 years; additionally, I have sought to include representative and central works of scholarship written on the Ethics in French, German, and Italian during the same period of time. (shrink)

Abstract In Posterior Analytics II.19 Aristotle raises and answers the question, how do first principles become known? The usual view is that the question asks about the process or method by which we learn principles and that his answer is induction. I argue that the question asks about the original prior knowledge from which principles become known and that his answer is perception. Hence the aim of II.19 is not to explain how we get all the way to principles but (...) to defend the claim that our knowledge of them originates in perception. Aristotle explains how we learn principles earlier in book II, in his account of definitional inquiry. In II.19 he explains how we reach by induction the preliminary accounts necessary for such inquiries. (shrink)

La premisa que guía nuestra investigación es que Poética es un tratado científico, i. e., que la investigación desarrollada en dicha obra se corresponde con el examen de una téchne. Defendemos que el método utilizado se corresponde con el método general de investigación denominado “salvar las apariencias”. Tal método es expuesto con más detalle en otras obras del corpus pero lo presuponemos utilizado en Poética. Si bien el método presupone la recolección de datos, no se limita a eso puesto que (...) el paso ulterior consiste en la caracterización de las diferencias y la exposición de las cuatro causas del fenómeno. De este modo, expondremos por un lado la base fenoménica de Poética y, por otro, sus cuatro causas. (shrink)

The subject of this essay is the classical problem of induction, which is sometimes attributed to David Hume and called “the Humean Problem of Induction.” Here, I examine a certain sort of Neo-Aristotelian solution to the problem, which appeals to the concept of natural kinds in its response to the inductive skeptic. This position is most notably represented by Howard Sankey and Marc Lange. The purpose of this paper is partly destructive and partly constructive. I raise two questions. The first (...) is: Are the natural kind solutions to the problem successful? The first thesis of this paper is that they are not, and I will show how and why they fail. And the second question I raise here is: Is there nonetheless some alternative Neo-Aristotelian solution to the problem which is successful and can overcome the shortcomings endemic to the Sankey-Lange account? The second thesis is that there is, and I’ll attempt to sketch one. My stance here may be summarized by saying that, while I agree with Sankey and Lange that the problem of induction can be adequately resolved, and while I am on the whole sympathetic with the Aristotelian spirit of their account, I am, for all that, dissatisfied with the letter of them. Nothing short of a more thoroughgoing Aristotelianism about the epistemology of induction will do. (shrink)

According to the standard and largely traditional interpretation, Aristotle’s conception of nous, at least as it occurs in the Posterior Analytics, is geared against a certain set of skeptical worries about the possibility of scientific knowledge, and ultimately of the knowledge of Aristotelian first principles. On this view, Aristotle introduces nous as an intuitive faculty that grasps the first principles once and for all as true in such a way that it does not leave any room for the skeptic to (...) press his skeptical point any further. Thus the tradi- tional interpretation views Aristotelian nous as having an internalist justificatory role in Aristotelian epistemology. In contrast, a minority (empiricist) view that has emerged recently holds the same internalist justificatory view of nous but rejects its internally certifiable infallibility by stressing the connection between nous and Aristotelian induction. I argue that both approaches are flawed in that Aristotle’s project in the Posterior Analytics is not to answer the skeptic on internalist justificatory grounds, but rather lay out a largely externalist explication of scientific knowledge, i.e. what scientific knowledge consists in, without worrying as to whether we can ever show the skeptic to his satisfaction that we do ever possess knowledge so defined. (shrink)

A revisionist account of how philosophical induction was conceived in the ancient world and how that conception was transmitted, altered, and then rediscovered. I show how philosophers of late antiquity and then the medieval period came step-by-step to seriously misunderstand Aristotle’s view of induction and how that mistake was reversed by humanists in the Renaissance and then especially by Francis Bacon. I show, naturally enough then, that in early modern science, Baconians were Aristotelians and Aristotelians were Baconians.

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)

Our purpose is to study Aristotle?s solution, in the second book of the Posterior Analytics, for the problem of the apprehension of the principles of science. We attend to the relations between the concepts of induction (epagoge) and intelligence (nous) found in the chapter 19, which seems to confirm that the acquisition of the principles is reached by a process of empirical observation. We examine the method, proposed in chapters 13 to 17, for the right formulation of definitions, which seems (...) to attribute to dialectics the task of finding the principles. Aristotle seems to indicate two different methods ? on one hand, the empirical observation followed by intelligence, on other, the dialectics ? for the apprehension of the principles. Our purpose is to study possible solutions for the problem of the concurrence between these two methods in order to refute as much a strictly empiricist interpretation as a strictly dialectical one. (shrink)

Aristotle's cognitive ideal is a form of understanding that requires a sophisticated grasp of scientific first principles. At the end of the Analytics, Aristotle tells us that we learn these principles by induction. But on the whole, commentators have found this an implausible claim: induction seems far too basic a process to yield the sort of knowledge Aristotle's account requires. In this paper I argue that this criticism is misguided. I defend a broader reading of Aristotelian induction, on which there's (...) good sense to be made of the claim that we come to grasp first principles inductively, and show that this reading is a natural one given Aristotle's broader views on scientific learning. (shrink)