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)

The view that contradictions cannot be true has been part of accepted philosophical theory since at least the time of Aristotle. In this regard, it is almost unique in the history of philosophy. Only in the last forty years has the view been systematically challenged with the advent of dialetheism. Since Graham Priest introduced dialetheism as a solution to certain self-referential paradoxes, the possibility of true contradictions has been a live issue in the philosophy of logic. Yet, despite the arguments (...) advanced by dialetheists, many logicians and philosophers still hold the opinion that contradictions cannot be true. -/- Rather than advocating the truth of certain contradictions, this thesis offers a different challenge to the classical logician. By showing that it can be philosophically coherent to propose that true contradictions are metaphysically possible, the thesis suggests that the classical logician must do more than she currently has to justify her confidence in the impossibility of true contradictions. Simply fighting off the dialetheist’s putative examples of true contradictions at the actual world isn’t enough to justify the classical logician’s conclusion that true contradictions are impossible. -/- To aid the thesis dialectically, we introduce a new position, absolutism, which hypothesises that it’s metaphysically possible for at least one contradiction to be true, contrasting with the dialetheic hypothesis that some contradictions are true in the actual world. We demonstrate that absolutism can be given a philosophically coherent interpretation, an appropriate logic, and that certain criticisms are completely toothless against absolutism. The challenge put to the classical logician is then: On what logical or philosophical grounds can we rule out the metaphysical possibility of true contradictions? (shrink)

Throughout more than two millennia philosophers adhered massively to ideal standards of scientific rationality going back ultimately to Aristotle’s Analytica posteriora . These standards got progressively shaped by and adapted to new scientific needs and tendencies. Nevertheless, a core of conditions capturing the fundamentals of what a proper science should look like remained remarkably constant all along. Call this cluster of conditions the Classical Model of Science . In this paper we will do two things. First of all, we will (...) propose a general and systematized account of the Classical Model of Science. Secondly, we will offer an analysis of the philosophical significance of this model at different historical junctures by giving an overview of the connections it has had with a number of important topics. The latter include the analytic-synthetic distinction, the axiomatic method, the hierarchical order of sciences and the status of logic as a science. Our claim is that particularly fruitful insights are gained by seeing themes such as these against the background of the Classical Model of Science. In an appendix we deal with the historiographical background of this model by considering the systematizations of Aristotle’s theory of science offered by Heinrich Scholz, and in his footsteps by Evert W. Beth. (shrink)

What is logical relevance? Anderson and Belnap say that the “modern classical tradition [,] stemming from Frege and Whitehead-Russell, gave no consideration whatsoever to the classical notion of relevance.” But just what is this classical notion? I argue that the relevance tradition is implicitly most deeply concerned with the containment of truth-grounds, less deeply with the containment of classes, and least of all with variable sharing in the Anderson–Belnap manner. Thus modern classical logicians such as Peirce, Frege, Russell, Wittgenstein, and (...) Quine are implicit relevantists on the deepest level. In showing this, I reunite two fields of logic which, strangely from the traditional point of view, have become basically separated from each other: relevance logic and diagram logic. I argue that there are two main concepts of relevance, intensional and extensional. The first is that of the relevantists, who overlook the presence of the second in modern classical logic. The second is the concept of truth-ground containment as following from in Wittgenstein’s Tractatus. I show that this second concept belongs to the diagram tradition of showing that the premisses contain the conclusion by the fact that the conclusion is diagrammed in the very act of diagramming the premisses. I argue that the extensional concept is primary, with at least five usable modern classical filters or constraints and indefinitely many secondary intensional filters or constraints. For the extensional concept is the genus of deductive relevance, and the filters define species. Also following the Tractatus, deductive relevance, or full truth-ground containment, is the limit of inductive relevance, or partial truth-ground containment. Purely extensional inductive or partial relevance has its filters or species too. Thus extensional relevance is more properly a universal concept of relevance or summum genus with modern classical deductive logic, relevantist deductive logic, and inductive logic as its three main domains. (shrink)

Este ensayo se propone presentar una lectura de las críticas de Aristóteles a Parménides en la Física. El autor sugiere que algunas importantes cuestiones que Aristóteles tiene en cuenta cuando determina los principios básicos de la ciencia de la naturaleza surgen de esas críticas. Boeri argumenta que, a pesar del fuerte desacuerdo declarado por Aristóteles en Física I 2-3 respecto de las posiciones eleáticas en general y la posición de Parménides en particular, Aristóteles aprovecha su discusión con Parménides de un (...) modo constructivo a favor de su propia teoría del cambio y, en general, de las condiciones indispensables para la constitución de la ciencia de la naturaleza. Según el autor, uno de los puntos centrales del desacuerdo de Aristóteles con Parménides es al mismo tiempo una de las más fértiles cuestiones desde el punto de vista del uso de Aristóteles de tal desacuerdo para establecer los fundamentos de su física. (shrink)

Nous savons bien aujourd'hui que, dès l'Antiquité, leCorpus Aristoteli-cuma été constitué, mis en ordre et commenté de manière à faire ressortir, en tout, la cohérence des doctrines du Stagirite, dont ses écrits, tels qu'il nous les a laissés, ne portaient pas la marque évidente. Le sentiment que ce travail de mise en forme, poursuivi par la tradition, devait avoir oblitéré quelque chose de la nature de la pensée aristotélicienne conduisit à soulever la question qui sert d'intitulé à la présente étude.

ABSTRACTIn this paper, I explore the contrast drawn by Aristotle in two parallel passages of the Posterior Analytics between ‘signs’ and ‘demonstration’. I argue that while at APo. I.6 Aristotle contrasts demonstration proper with a deductively valid sign-syllogism, at APo. II.17 the contrast is rather between a demonstration proper and a deductively invalid sign-syllogism.

Este trabajo presenta lo que para la mayoría de los intérpretes de Aristóteles, que se ocupan del asunto del método en su obra, constituye el principal problema a resolver. Se trata del problema de determinar la relación existente entre la concepción aristotélica de ciencia demostrativa, consignada en los Analíticos Segundos, y la praxis investigativa de Aristóteles en sus diferentes tratados científicos, una praxis que los intérpretes dan frecuentemente en describir como dialéctica.

ABSTRACT This is a review of David Bronstein's book "Aristotle on Knowledge and Learning: The Posterior Analytics".

In his works on argumentation, Aristotle develops three main forms: apodeictical, dialectical, and rhetorical argumentation; dialectic is subdivided into several subspecies. The purpose of this paper is to discuss all of the forms described by Aristotle, to examine their differences and to point out their interrelations. This leads to an examination of the differentiating criteria and their applicability in the case of each argumentation form—and in particular to the question regarding the number of criteria that are necessary to describe each (...) form clearly and unambiguously. It is argued that Aristotle’s works on argumentation contain an implicit system of argumentation forms that is based on no more than three criteria. (shrink)

1. At least since W.F. Edwards’ pioneering articles on medieval and renaissance interpretations of the prologue to Galen's Art of Medicine,1 it has often been maintained that Latin scholastics inte...

Epistemology today centrally concerns the conceptual analysis of knowledge. Historically, however, this is a concept that philosophers have seldom been interested in analysing, particularly when it is construed as broadly as the English language would have it. Instead, the overriding focus of epistemologists over the centuries has been, first, to describe the epistemic ideal that human beings might hope to achieve, and then go on to chart the various ways in which we ordinarily fall off from that ideal. I discuss (...) in detail two historical manifestations of idealized epistemology — Aristotle and Descartes — and then consider how this perspective might make a difference to the discipline today. In the end, an idealized epistemology points toward a normative, prescriptive rather than descriptive enterprise. (shrink)

L’article présente une brève histoire de l’interprétation évolutionniste des traités d’Aristote à partir de la tendance évolutionniste de Jaeger. Il se concentre surtout, en premier lieu, sur la naissance et le développement des interprétations dialectiques des traités aristotéliciens à partir des années soixante du XX e siècle et, en second lieu, sur les critiques adressées à cette tendance par les interprètes contemporains du début du XXI e siècle. La section finale propose une approche alternative : selon cette interprétation, Aristote ne (...) renonce pas, y compris dans ses Éthiques, à la recherche de la définition. Dans l’ Éthique à Nicomaque, il parvient à définir les principaux concepts et phénomènes moraux en suivant la méthode permettant de fonder les définitions qui est décrite dans les Seconds Analytiques, livre II. Cela n’exclut pas que la méthode « dialectique » ou « endoxale » ait un certain rôle dans l’ Éthique à Nicomaque. (shrink)

According to Aristotle's definition of episteme in the Posterior Analytics, you have episteme of the proposition that P when you know why P, and you know that it is necessary that P. Episteme is therefore only available for propositions which have an explanation, i.e. the theorems of the science. It is a demanding cognitive state, since knowing the explanation of a proposition in a science requires being able to demonstrate or prove it. Aristotle occasionally refers to the counterpart notion to (...) episteme which applies to propositions which lack an explanation, i.e. the first principles of a science. This counterpart notion is nous, or non-demonstrative understanding. Aristotle never defines it, but it should turn out to be an equally demanding cognitive state to achieve. This paper proposes that you have nous of the proposition that P when you know that nothing explains why P, you know the various ways in which the proposition that P features in explanations in the science, and you know that it is necessary that P. (shrink)

The modern sciences are divided into two groups: law-formulating and natural historical sciences. Sciences of both groups aim at describing the world, but they do so differently. Whereas the natural historical sciences produce “transcriptions” intended to be literally true of actual occurrences, laws of nature are expressive symbols of aspects of the world. The relationship between laws and the world thus resembles that between the symbols of classical iconography and the objects for which they stand. The natural historical approach was (...) founded by Aristotle and is retained in such present-day sciences as botany. Modern physics differentiated itself from the natural historical sciences and developed a symbolizing approach at the hands of Galileo and Descartes. Our knowledge of the physical domain is provided by two disciplines: the law-formulating science of physics and a natural historical science on which we depend in the everyday manipulation of our surroundings. (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)

European Journal of Philosophy, Volume 30, Issue 3, Page 1161-1172, September 2022.

European Journal of Philosophy, EarlyView.

How many scientific demonstrations can a single phenomenon have? This paper argues that, according to Aristotle's theory of scientific knowledge as laid out in the Posterior Analytics, a single conclusion may be demonstrated via more than one explanatory middle term. I also argue that this model of multiple demonstration is put into practice in the biological writings. This paper thereby accomplishes two related goals: it clarifies certain relatively obscure passages of the Posterior Analytics and uses them to show how Aristotle (...) explains biological phenomena by reference to both final and material causes in the Parts of Animals. The first part of the paper explains the account of multiple demonstration present in the Posterior Analytics and distinguishes it from another kind of plural explanation rejected by Aristotle. The second part of the paper turns to the biological explanation in the Parts of Animals and shows how Aristotle's account of multiple demonstrations works in practice. The paper thus provides evidence for the claim that the ‘applied’ reasoning on display in the biological works is in harmony with the framework of the logical treatises, and thus may also shed light on questions of the unity of the Aristotelian corpus. (shrink)

This paper formally explores the common ground between mild versions of epistemological coherentism and infinitism; it proposes—and argues for—a hybrid, coherentist–infinitist account of epistemic justification. First, the epistemological regress argument and its relation to the classical taxonomy regarding epistemic justification—of foundationalism, infinitism and coherentism—is reviewed. We then recall recent results proving that an influential argument against infinite regresses of justification, which alleges their incoherence on account of probabilistic inconsistency, cannot be maintained. Furthermore, we prove that the Principle of Inferential Justification (...) has rather unwelcome consequences—formally resembling the Sorites paradox—as soon as it is iterated and combined with a natural Bayesian perspective on probabilistic inferences. We conclude that strong versions of foundationalism and infinitism should be abandoned. Positively, we provide a rough sketch for a graded formal coherence notion, according to which infinite regresses of epistemic justification will often have more than a minimal degree of coherence. (shrink)

RésuméLe présent article propose la liste des œuvres médicales composées par Ibn Bājja, donne une présentation synthétique de celles qui nous ont été transmises et étudie le métacommentaire au commentaire de Galien sur lesAphorismesd'Hippocrate (Sharḥ fī al-Fuṣūl). Ce texte montre une influence profonde d'al- Fārābī, en particulier dans sa conception de l'expérience médicale, qui remonte à la façon dont ce dernier construit l'expérience (tajriba) comme le procédé inductif, décrit par Aristote dans lesSeconds Analytiques, produisant les prémisses de la démonstration. Sur (...) cette base, Ibn Bājja défend la pertinence d'une médecine moins scolastique et plus empirique, une position dont Ibn Rushd se fera l'écho. Des similitudes entre le texte d'Ibn Bājja et leK. al-Kulliyyāt fī al-ṭibbd'Ibn Rushd suggèrent que celui-ci avait lu leSharḥ fī al-Fuṣūl. Cette œuvre, en outre, pourrait bien attester que la dissection humaine était pratiquée à l'époque d'Ibn Bājja. (shrink)

There have in recent years been at least two important attempts to get to grips with Aristotle's conception of dialectic. I have in mind those by Martha C. Nussbaum in ‘Saving Aristotle's appearances’, which is chapter 8 of her The Fragility of Goodness, and by Terence H. Irwin in his important, though in my opinion somewhat misguided, book Aristotle's First Principles. There is a sense in which both of these writers are reacting to the work of G. E. L. Owen (...) on cognate matters, particularly his well-known paper ‘Tithenai ta phainomena’. Owen himself was in part reacting to what I suppose is the traditional view of how Aristotle regarded dialectic, as revealed in Topics I. 1. On that view dialectic is for Aristotle a lesser way of proceeding than is demonstration, the method of science. For demonstration proceeds from premises which are accepted as true in themselves and moves from them to conclusions which follow necessarily from those premises; and the middle term of such a demonstrative syllogism then provides the ‘reason why’ for the truth of the conclusion. Dialectic proceeds from premises which are accepted on a lesser basis ‘by everyone or by the majority or by the wise, i.e. by all, or by the majority, or by the most notable and reputable of them’, and proceeds deductively from them to further conclusions. (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)

Although the theory of the assertoric syllogism was Aristotle's great invention, one which dominated logical theory for the succeeding two millenia, accounts of the syllogism evolved and changed over that time. Indeed, in the twentieth century, doctrines were attributed to Aristotle which lost sight of what Aristotle intended. One of these mistaken doctrines was the very form of the syllogism: that a syllogism consists of three propositions containing three terms arranged in four figures. Yet another was that a syllogism is (...) a conditional proposition deduced from a set of axioms. There is even unclarity about what the basis of syllogistic validity consists in. Returning to Aristotle's text, and reading it in the light of commentary from late antiquity and the middle ages, we find a coherent and precise theory which shows all these claims to be based on a misunderstanding and misreading. (shrink)