Aristotle: Predication

I discuss the argument Aristotle ascribes to Parmenides at Physics 186a23-32. I discuss (i) the reasons why Aristotle considers it as eristic and inconclusive and (i) the solution (lusis) Aristotle proposes against it.

This book investigates what change is, according to Aristotle, and how it affects his conception of being. Mark Sentesy argues that change leads Aristotle to develop first-order metaphysical concepts such as matter, potency, actuality, sources of being, and the teleology of emerging things. He shows that Aristotle’s distinctive ontological claim—that being is inescapably diverse in kind—is anchored in his argument for the existence of change. -/- Aristotle may be the only thinker to have given a noncircular definition of change. When (...) he gave this definition, arguing that change is real was a losing proposition. To show that it exists, he had to rework the way philosophers understood reality. His groundbreaking analysis of change has long been interpreted through a Platonist lens, however, in which being is conceived as unchanging. Offering a comprehensive reexamination of the relationship between change and being in Aristotle, Sentesy makes an important contribution to scholarship on Aristotle, ancient philosophy, the history and philosophy of science, and metaphysics. (shrink)

I argue against the standard interpretation of Aristotle’s account of ‘natural predication’ in Posterior Analytics 1.19 and 1.22 according to which only substances can serve as subjects in such predications. I argue that this interpretation cannot accommodate a number of demonstrations Aristotle sanctions. I propose a new interpretation that can accommodate them.

Aristotle’s philosophy is considered with respect to one central concept of his philosophy, viz. opposition. Far from being a mere side-effect of syllogistic, it is argued in the present paper that opposition helps to articulate ontology and logic through an account of what can be or cannot be in a systematic and structural way. The paper is divided into three main parts. In Section I, the notion of Being is scrutinized through Aristotle’s theory of categories. In Section II, the notion (...) of Non-Being is connected to Aristotle’s theory of oppositions. In Section III, the notion of essence is revisited in order to bring about a holist theory of meaning by individuating through opposite properties. In conclusion, the legacy of Aristotle is depicted as balanced between a powerful reflection around Being and a restrictive ontology of substance. (shrink)

How does Aristotle think about sentences like ‘Every x is y’ in the Prior Analytics? A recently popular answer conceives of these sentences as expressing a mereological relationship between x and y: the sentence is true just in case x is, in some sense, a part of y. I argue that the motivations for this interpretation have so far not been compelling. I provide a new justification for the mereological interpretation. First, I prove a very general algebraic soundness and completeness (...) result that unifies the most important soundness and completeness results to date. Then I argue that this result vindicates the mereological interpretation. In contrast to previous interpretations, this argument shows how Aristotle’s conception of predication in mereological terms can do important logical work. (shrink)

In the Posterior Analytics, Aristotle imposes some requirements on scientific propositions: (i) they must be susceptible of syllogistic articulation, (ii) they must have universal terms as subjects of predication and (iii) their subjects must be primary, i.e. they cannot “be said of a distinct underlying subject”. However, it is problematic to meet those three requirements together. If associated with the theory of predication in Categories, the requirement (iii) shall prescribe names or descriptions of individuals within the category of substance as (...) subjects of predication, which are primary insofar as they cannot play the logical role of predicate. Nevertheless, if the requirement (i) is satisfied, then the terms of scientific proposition would be able to perform the function of subject as well as of predicate since the rules of conversion and syllogistic moods presuppose the interchangeability among terms of predication. The requirement (ii), by its turn, withdraws all particular subjects from scientific propositions and a fortiori individual substances. We offer as a solution for the aforementioned dilemma the association of theses from the Posterior Analytics, not with the treatise Categories, but with the new ontology of predication emerged in the Metaphysics, which, by introducing the hylomorphic analysis of compound substances, admits primary and notwithstanding universal subjects of predication: the specific forms. (shrink)

Este livro é um 'ancestral' em pré-print do meu livro de 2006, Introdução à Teoria da Predicação em Aristóteles (ISBN 978-85-268-0716-1), publicado pela Editora da Unicamp (ver https://www.academia.edu/6912408/Introdu%C3%A7%C3%A3o_%C3%A0_teoria_da_predica%C3%A7%C3%A3o_em_Arist %C3%B3teles). O ancestral foi felizmente muito citado, mesmo depois da aparição do livro definitivo em 2006. -/- This is an ancestor (in pré-print) of my 2006 Book, 'Introdução à Teoria da Predicação em Aristóteles' (ISBN 978-85-268-0716-1), published by Editora da Unicamp (see https://www.academia.edu/6912408/Introdu%C3%A7%C3%A3o_%C3%A0_teoria_da_predica%C3%A7%C3%A3o_em_Arist %C3%B3teles). The ancestor was cited by many, even after the definitive book (...) appeared in 2006. (shrink)

O presente artigo se propõe definir o que é predicação em Aristóteles, como predicamos e qual o critério para determinar se uma predicação é verdadeira ou falsa. Nossas referências serão o livro Das Categorias, do capítulo 1 ao 5 e Da interpretação do capítulo 1 ao 6. Concluiremos que a teoria da predicação em Aristóteles afirma que definir algo é predicar e que o critério de verdade de uma proposição é a sua correspondência aos fatos.

Réplica a Angioni, “Relações causais entre eventos na ciência aristotélica: uma discussão crítica de Ciência e Dialética em Aristóteles, de Oswaldo Porchat”.

This paper provides an interpretation of Aristotle’s criticism to the solution to Meno’s Paradox suggested by Plato. According to Aristotle, when Plato says that reminiscence (anámnēsis) is achieved, what is actually achieved is induction (epagōgê). Our interpretation is based on two aspects: (1) semantic criticism, since Plato’s use of the term anámnēsis is unusual; and (2) the theory is not able to give an adequate explanation of the effective discovery.

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)

No tratado intitulado Segundos Analíticos, Aristóteles desenvolve uma teoria da demonstração científica e da ciência demonstrativa. Ali, o conhecimento científico é descrito pelo filósofo como envolvendo uma certa "necessidade". Alguns intérpretes associam esta noção de necessidade à necessidade modal, pertinente à silogística modal de Aristóteles. Esta interpretação, todavia, tornaria o modelo de ciência proposto nos Analíticos incompatível com os explananda das ciências da natureza, cuja cientificidade o próprio Aristóteles reiteradamente defendeu. A fim de evitar este inconveniente, abordamos e reconstruímos a (...) mencionada interpretação, reconhecemos suas falhas e propomos, seguindo outra tendência da literatura secundária, uma leitura alternativa da noção de necessidade como adequação explanatória, a qual garantiria a cientificidade dos fenômenos naturais. (shrink)

Our aim is to argue for a deflationary interpretation of Aristotelian dialectic in the Topics, showing that dialectic is, for Aristotle, a specific sort of regulated debate, in contrast to a widely spread kind of interpretation which conceives dialectic as a method of philosophical investigation. Our claim is that an analysis carefully conducted of certain key texts does provide us with sufficient evidences for defending that the Topics is a handbook which codifies an existent art. This codification has a descriptive (...) character and reveals the rules of the debate, what is the specific kind of argument used in it, how premises are obtained and the predicative relation of the propositions used by the debaters. The mastery of the techniques required by the debate is not grounded in any sort of particular knowledge, rather in linguistic competence. It is by doing a technical usage of this competence that the Topics can be useful for philosophy. (shrink)

The so called “elenctic” defense of the principle of non-contradiction in Metaphysics Γ4 will succed if only the opponent will say something. The strategy consists in showing that, in speaking, the opponent has al- ready accepted the principle. Given the structure of the argument, the only way to avoid begging the question is not to ask from the opponent any commitment exceeding the conditions of mere meanigfullness of speech. In particular, it is specially important to avoid any reliance on Aristotelian (...) essentialism. A reading which is in accordance with these requirements will hold that the core of the proof consists in showing that meaning something amounts to singling out a meaning. The mere aim of telling what is within from what is without the bounds imposed on speech of any complexity is enough to show that the speaker accepts the principle of non-contradiction. One is thereby not required to commit oneself to any particular description of reality. Nonetheless, the extention of this result to the conditions of predication will pave the way for the develop- ment of the science of being as being. (shrink)

Meu objetivo nesse texto é oferecer uma interpretação do modo como a dialética aristotélica pode ser útil para a filosofia em geral, e o conhecimento dos princípios em particular, sem incorrer em problemas epistemológicos geralmente presentes ao se tentar explicar como, a partir de proposições das quais não temos comprovação do valor de verdade que possuem, as endoxa, se pode conhecer proposições primeiras e verdadeiras. Meu argumento central é que não é a dialética que, afinal, é útil para o conhecimento (...) filosófico, mas o próprio tratado, os Tópicos, na medida em que esse tratado oferece um conjunto amplo de ferramentas argumentativas que permitem ao seu estudante um domínio de técnicas lógico-linguísticas que podem ser aplicadas em qualquer âmbito discursivo, favorecendo o escrutínio mais profundo de proposições a serem examinadas. -/- English: My aim is to develop an interpretation about how Aristotelian dialectic can be useful to philosophy and, in more specific terms, to knowledge of the first principles, avoiding epistemological problems regarding the away one can explain the knowledge of propositions which are primaries and trues, by departing from proposition whose truth-evaluation is not assured, the endoxa. My main argument is that what is in fact useful to get to know the first principles is not dialectic itself, but the treatise at stake, the Topics. Accordingly, this treatise offers an wide set of logical and linguistic tools that can be applied to any discursive universe, favouring a deep scrutiny of proposition to be examined. (shrink)

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.

My object is Aristotle's discussion of principle of non-contradiction in the first stretch of Metaphysics IV.4. My main focus rests on the connections between Aristotle's discussion of the principle and some key notions of his (explicit or implied) semantics.

I argue that Topics VI does not contain any serious theory about definitions, but only a collection of advices for formulating definitions in a dialectical context, namely, definitions aiming to catch what the opponent means. Topics VI is full of inconsistencies that can be explained away by this approach: the inconsistencies reflect "acceptable opinions about definitions" that distinct groups of interlocutors accept. I also argue that the "topoi" need not be pieces of serious theory Aristotle is commited to. The "topoi" (...) must also be considered as "endoxa", namely, as accepted opinions about how it is legitimate to draw an inference. (shrink)

The paper starts from a distinction between two terms in Aristotle: kategoroumenon and kategoria. It is argued that the job of the first is to pick out 'predicated predicates' (i.e. predicates attached to a specific subject), the job of the second is to designate 'predicable predicates' (terms which can be attached to specific subjects). It is then argued (1) that Aristotle's division of the (erroneously) so-called 'predicables' (i. e. genus, proprium, definiens, accident) is a classification of predicated predicates, (2) that (...) the list of the "genera of kategoriai" in Top. I 9 which starts with ti estin (essence) as its first member contains a classification of predicable predicates, and (3) that the list in Cat. 4 (starting with ousia, 'substance') is a classification not of kategoriai, but of things there are. (shrink)

Why does Aristotle not use the copulative wording for categorical propositions, but instead the clumsier terminological formulations (e. g. the B belongs to every A) in his syllogistic? The proposed explanations by Alexander, Lukasiewicz and Patzig: Aristotle wants to make clear the difference between subject and predicate, seems to be insufficient. In quantified categorical propositions, this difference is always sufficiently clear by the use of the pronouns going with the subject expressions. Aristotle opts for the terminological wording because in premiss (...) pairs of figures two and three he can thus suppress the middle term in one of the premisses and connect the major and minor term, using connecting particles. This renders the syllogisms more transparent. Had he used the copulative wording instead, he would have run into difficulties, in particular with o-propositions among the premisses (i. e. in Baroco and Bocardo) because in these cases the pronoun expressing the quantification would have to go with the subject term, the negation with the predicate. (shrink)

This paper discusses Aristotle’s notions of essence and definition as they are developed in Metaphysics Z-4, a chapter in which Aristotle seems to hesitate or even to contradict himself about criteria for determining what an essence is. This paper offers a full discussion of Aristotle’s argument and try to show that there is no inconsistency nor hesitation in Aristotle’s approach. Aristotle begins with a more general account of essence and definitions, which is based on merely logical-epistemic requirements, but at 1030a2-17 (...) he introduces a stricter account, which rests on additional criteria concerned with explanatory power of essences and definitions. The two accounts are far from being incompatible with each other. The hierarchy of essences and definitions which Aristotle presents at 1030a17-32 shows that both accounts can be squared with each other. Aristotle’s strategy can be satisfactorily understood from his broader concerns at Metaphysics Z as a whole. (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”).

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.).

This paper examines some difficulties in Aristotle’s argument in Metaphysics VII 3 and proposes a point of view in which there is no serious conflict between ousia taken as hypokeimenon and ousia taken as eidos.