Aristotle: On Sophistical Refutations

Relying on evidence from fifteen epigraphic collections and sixty-odd ancient sources as well as discussing a literature of over five hundred titles, the essay’s highly unorthodox conclusions are a case in point of the micrological ideal of achieving novelty on any given subject by way of transcribing and studying first-hand all relevant materials – edited and unedited alike. The paper’s ambition was to shed new light on one of the most intriguing analogies of the whole Aristotelian corpus, namely the comparison (...) between words and pebbles. A review of all material evidence and virtually all extant sources made short work of two related, albeit mutually exclusive, misconception about ancient reckoning boards and their workings: (1) the idea that – for all practical purposes – the abacus’ arrangement mirrored the decimal system, its columns and rows conveniently matching units, tens, hundreds, thousands, etc. (2) the idea that the inscriptions on several surviving counting boards were a nuisance to the extent that, being inconsistent to a fault with the decimal system itself, they made actual calculations harder than they already were (as opposed to making them easier, as one would expect). The paper demonstrated that the first assumption – the « decimal » bias – is simply mistaken and betrays little or no awareness of the epigraphic and archaeological evidence. The paper also demonstrated that the second assumption – the « abacus riddled with complications » bias – simply defeats the purpose of resorting to the abacus in the first place and betrays a poor understanding of its practical vocation which, most assuredly, was not to add to the very problem it was meant to solve. After bulldozing its way through both misunderstandings, the essay focused on the abacus most distinctive features, that is positionality (i.e. the abacus being a positional system through and through) and hybridity (i.e. the abacus’ place value system being monetary in nature and purpose, as opposed to it being abstract and homogeneous). The final result is an interpretation that moves away from the received views by showing that the prologue of the Sophistici elenchi offers no support to the notion that, when Aristotle referred to counters, he was leaning on a kinship of sorts – or any kinship, for that matter – between abstract calculation and speech. Once we turns the pebble’s simile on its head and set it back upon its feet (Aristotle’s pebble analogy is about pebbles, what else?), it becomes clear that it presupposed numeracy all right, but it was not about numeracy itself. Moreover its goal was not to explain why computational and linguistic symbolisms succeed, but to explain how they fail – failure being the whole point; in this particular instance, failure to detect and prevent abusive value shifts affecting words and counters alike. (shrink)

In this paper I provide support for the view that at least some forms of adversariality in argumentation are legitimate. The support comes from Aristotle’s theory of illegitimate adversarial argumentation in dialectical contexts: his theory of eristic in his work On Sophistical Refutations. Here Aristotle develops non-epistemic standards for evaluating the legitimacy of dialectical procedures, standards which I propose can be understood in terms of the pragmatic notion of context as common ground. Put briefly, Aristotle makes the answerer’s meaning in (...) giving assent in dialectical contexts the basis for further moves in the game of dialectic. Moves which subvert the answerer’s meaning or do not solicit the answerer’s consent are marked as eristic, i.e. adversarial in a problematic sense. I conclude with remarks on what Aristotle’s theory may teach us about how semantic features relate to the normative evaluation of argumentation. (shrink)

Even though Aristotle speaks often about language, his remarks do not fall within the province of any given discipline, let alone belong to the same subject matter or amount to a πραγματεία of their own. Rather, they are somewhat scattered across the Aristotelian corpus and are to be gleaned from a vast array of texts, including ethical and political writings (where language plays a remarkable role in shaping human sociability), treatises on natural history (where Aristotle outlines the physiology of phonation (...) in some animals such as birds and human beings), books on the soul (where Aristotle describes how language is intertwined with perception, imagination and thought) and works on dialectics, poetics and rhetoric (where linguistic expression is described as a powerful means of both persuasion and deception). Accordingly, «Le langage. Lectures d’Aristote» elects to study Aristotle’s understanding of language and its workings by asking relevant Aristotelian texts only those questions these texts answer – either by themselves or in conjunction with one another. -/- Quelque nombreuses et quelque influentes qu'elles soient par ailleurs, les vues d'Aristote sur le langage se caractérisent à la fois par leur hétérogénéité et par leur marginalité. Sans faire nulle part du langage et de la signification l'objet d'une investigation autonome et méthodique, Aristote multiplie les remarques et les digressions à leur sujet, que ce soit dans ses écrits d'éthique et de politique ou dans ses traités d'histoire et de philosophie naturelle, ou encore dans ses manuels de dialectique, de poétique et de rhétorique. Face à l'abondance de ces matériaux et aux difficultés qu'ils présentent du fait de s'offrir au lecteur en ordre quelque peu dispersé, «Le langage. Lectures d'Aristote» fait le choix d'indexer l'étude du langage chez Aristote sur des passages précis du corpus en ne posant aux textes aristotéliciens d'intérêt linguistique que les questions auxquelles ces mêmes textes - tantôt pris isolément, tantôt mis en relation les uns avec les autres - apportent une réponse. (shrink)

Our object of study in this dissertation is the paralogism due to the concomitant ( which we’ll call abreviated “PDC”). This paralogism is analysed by Aristotle in the Sophistical Refutations as a false argument. Our study about this paralogismo is divided into four chapters. Trough the first chapter we pretend to answer an important question about the PDC’s appearance. Although this paralogism is a false argument, it possess certain similarity with arguments recognized as good by the one refuted. This similarity (...) would be the reason why debaters are refuted by the PDC. Identifying the nature of this similarity is relevant to comprehend how this paralogism’s appearance can be deceitful. The content of the second chapter can be better undestood as a deepening of our interest for the subjective or psychological dimension present in the studies about the paralogisms in the Sophistical Refutations. This deepening results in the description of a mental phenomenon which we call “parallel computation”. The parallel computation consists in a rational effort (although it is a misguided one) by the one who is refuted when he tries to make sense of the logical and semantical traits of an argument. This interpretation is motivated by a set of false presumptions held by the refuted one. In the third chapter we present a case study, turning our attention to an instance of the PDC, the triangle paralogism. By studying the relevant passages for the interpretation of this paralogism we put forward what we understand to be exegetical constraints. Afterward, making use of these constraints as evaluative parameters, we analyse some reconstitution proposals of the triangle paralogism. In the final part of our dissertation we analyse the content of the chapter 24 of SE. In this chapter Aristotle presents us with a inferential principle which isn’t satisfied by any of the PDC’s instance. The interpretation of this principle is a cause of huge controversy in the secondary literature. In order to make a contribution to the specialized debate of this point we test two interpretative hyphotesis of this principle’s content, the referential and the intensional interpretation. (shrink)

Journal Name: Apeiron Issue: Ahead of print.

Few arguments from the past have stirred up as much interest as Aristotle’s “Third man” and not so many texts have received as much attention as its account in chapter 22 of the Sophistici elenchi. And yet, several issues about both remain highly controversial, starting from the very nature of the argument at stake and the exact signification of some of its features. The essay provides a close commentary of the text, dealing with its main difficulties and suggesting an overall (...) interpretation of Aristotle’s discussion of the “Third Man” argument. (shrink)