What is meant under the genuine title of Aristotle’s ta Analytika is rarely properly understood. Presumably, his analytics was inspired by the method of geometric analysis. For Aristotle, this was a regressive or heuristic procedure, departing from a proposed conclusion and asking which premises could be found in order to syllogize, demonstrate or explain it. The terms that form categorical and modal propositions play a fundamental role in analytics. Aristotle introduces letters in lieu of the triples of terms constitut­ing the (...) propositions and the three syllogistic figures that schematize them. His formulation of the three syllogistic figures refers to a syntacti­cal and predicative order and position of the triples of terms, arranged in some diagrammed schemata, which, regrettably, are missing from the extant text of the Prior Analytics. Considering planar and graphic arrangements, both vertical and horizontal orders as well as the posi­tion of the three terms involved, we propose a reconstruction, at least to some extent, of these probable lettered diagrams. In such reconstructed diagrams, we can appropriately capture the definition of syllogism as a predicative connexion of terms, and easier survey a synoptic account of all valid predicative relations and transpositions, and also reduce the imperfect syllogisms into the moods of the first figure. Aristotle’s syllogistic is an analytical calculation of terms, understood as predicates and subjects within the categorical propositions, and more precisely of three terms schematized in three figures in predicative links such that, by means of a middle, follows from necessity a conclusion of the extreme terms. The necessity of the consequence is not based on the implication or inference of the propositions, but on a predictive transi­tivity through the middle term within the syllogistic figures. Syllogism must draw its conclusion through the way its terms are predicated of one another. Aristotle in his Prior Analytics developed also a complex account of modal syllogisms within necessity and possibility of belonging. This account involves also such an analyti­cal reduction to the syllogistic figures. In this analytical perspective, we try to throw some light on his modal syllogisms, although this difficult and nowadays thoroughly discussed topic would require a much wider treatment. (shrink)

The paper provides an interpretation of Aristotle’s view on scientific inquiry as problem solving. It tackles passages where Aristotle emphasises the role that the problem-solving activity has in science, and where he describes the history of humans’ problem-solving activity and the historical development of natural science as a problem-solving activity. Further, the paper examines Aristotle’s practice of raising, assessing and solving problems as well as the heuristic procedures he employs to move from ignorance to scientific knowledge. Finally, it raises a (...) question about Aristotle’s view on the epistemic status of scientific definitions: does Aristotle conceive of the definitions, which are the results of scientific inquiries, as truths or rather as plausible hypotheses that may or may not be true? (shrink)

In Prior Analytics 1.27–30, Aristotle develops a method for finding deductions. He claims that, given a complete collection of facts in a science, this method allows us to identify all demonstrations and indemonstrable principles in that science. This claim has been questioned by commentators. I argue that the claim is justified by the theory of natural predication presented in Posterior Analytics 1.19–22. According to this theory, natural predication is a non-extensional relation between universals that provides the metaphysical basis for demonstrative (...) science. (shrink)

Dialectical fallacies are typically defined as breaches of the rules of a regulated discussion between two participants. What if discussions become more complex and involve multiple parties with distinct positions to argue for? Are there distinct argumentation norms of polylogues? If so, can their violations be conceptualized as polylogical fallacies? I will argue for such an approach and analyze two candidates for argumentative breaches of multi-party rationality: false dilemma and collateral straw man.

Most dialectical models view argumentation as a process of critically testing a standpoint. Further, they assume that what we critically test can be analytically reduced to individual and bi-polar standpoints. I argue that these two assumptions lead to the dominant view of dialectics as a bi-partisan argumentative discussion in which the yes-side argues against the doubter or the no-side. I scrutinise this binary orientation in understanding argumentation by drawing on the main tenets of normative pragmatic and pragma-dialectical theories of argumentation. (...) I develop my argument by showing how argumentative practice challenges these assumptions. I then lay out theoretical reasons for this challenge. This paves the way for an enhanced conceptualisation of dialectical models and their standards of rationality in terms of multi-party discussions, or argumentative polylogues. (shrink)

Most dialectical models view argumentation as a process of critically testing a standpoint. Further, they assume that what we critically test can be analytically reduced to individual and bi-polar standpoints. I argue that these two assumptions lead to the dominant view of dialectics as a bi-partisan argumentative discussion in which the yes-side argues against the doubter or the no-side. I scrutinise this binary orientation in understanding argumentation by drawing on the main tenets of normative pragmatic and pragma-dialectical theories of argumentation. (...) I develop my argument by showing how argumentative practice challenges these assumptions. I then lay out theoretical reasons for this challenge. This paves the way for an enhanced conceptualisation of dialectical models and their standards of rationality in terms of multi-party discussions, or argumentative polylogues. (shrink)

I argue against a formidable interpretation of Plato’s Divided Line image according to which dianoetic correctly applies the same method as dialectic. The difference between the dianoetic and dialectic sections of the Line is not methodological, but ontological. I maintain that while this interpretation correctly identifies the mathematical method with dialectic, ( i.e. , the method of philosophy), it incorrectly identifies the mathematical method with dianoetic. Rather, Plato takes dianoetic to be a misapplication of the mathematical method by a subset (...) of practicing mathematicians. Thus, Plato’s critique of dianoetic is a not a critique of mathematics, as such, but of mathematicians. (shrink)

I discuss Aristotle's anomalous terminology in Physics A.1 (involving "universals" and "particulars") and its coherence with Aristotle's notion of scientific demonstration.

This article offers an analysis of the argumentative method of two treatises by Alexander of Aphrodisias, On Fate and On Providence, the latter of which is preserved only in Arabic translation. It is argued that both texts use techniques from Aristotelian dialectic, albeit in different ways, with On Fate adhering to methods outlined in Aristotle's Topics whereas On Providence uses the ‘aporetic’ method familiar from texts such as MetaphysicsΒ‎. This represents a revision of a previous study of Alexander's method in (...) On Fate by Jaap Mansfeld, which emphasized parallels between that method and the techniques of ancient scepticism. It is, however, suggested that Alexander does reflect developments in epistemology during the Hellenistic period, especially in so far as he ‘upgrades’ the status of endoxa to play something like the role of common conceptions in the dogmatic Hellenistic schools. (shrink)

Nossa meta é caracterizar alguns aspectos da metodologia científica utilizada por Aristóteles em algumas passagens dos dois primeiros livros do Sobre o Céu e averiguar quais são os principais recursos a que Aristóteles recorre para descobrir os princípios de sua astronomia e para coletar os dados iniciais astronômicos relevantes. Procuraremos mostrar que, para Aristóteles, embora escassos e imprecisos, os dados observacionais ainda têm preferência em relação aos endoxa astronômicos, o que não impede, porém, o emprego de alguns testes dialéticos para (...) o estabelecimento do conhecimento preliminar relevante para a astronomia. (shrink)

This dissertation explores Aristotle’s use of teleology as a principle of explanation, especially as it is used in the natural treatises. Its main purposes are, first, to determine the function, structure, and explanatory power of teleological explanations in four of Aristotle’s natural treatises, that is, in Physica (book II), De Anima, De Partibus Animalium (including the practice in books II-IV), and De Caelo (book II). Its second purpose is to confront these findings about Aristotle’s practice in the natural treatises with (...) the theoretical picture of the structure of teleological explanations gained from Aristotle’s theory of scientific demonstration. For this purpose a new interpretation of Analytica Posteriora II.11 is presented. This study thereby contributes to recent scholarship on the relation between Aristotle’s philosophy of science and his philosophy of nature, while at the same time adding to our knowledge of Aristotle’s notion of teleology in terms of its explanatory merits and limits. (shrink)

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)