This volume presents mathematical game theory as an interface between logic and philosophy.

The article examines Aristotle’s seminal discussion of the fallacy of begging the question, reconstructing its complex articulation within a variety of different, but related, contexts. I suggest that close analysis of Aristotle’s understanding of the fallacy should prompt critical reconsideration of the scope and articulation of the fallacy in modern discussions and usages, suggesting how begging the question should be distinguished from a number of only partially related argumentative faults.

In this paper, we present a dialectical argument for a priori skepticism (i.e. the thesis that we can be skeptical about a priori knowledge). Then, we propose a framework that combines elements from inferential contextualism and logical conventionalism to offer a weak transcendental argument against a priori skepticism.

From Aristotle’s Sophistical Refutations the following classifications are put forward and defended through extensive excerpts from the text. (AR-PFC) All sophistical refutations are exclusively either ‘apparent refutations’ or ‘proofs of false conclusions’. (AR-F) ‘Apparent refutations’ and ‘fallacies’ name the same thing. (ID-ED) All fallacies are exclusively either fallacies in dictione or fallacies extra dictionem . (ID-nAMB) Not all fallacies in dictione are due to ambiguity. (AMB-nID) Not all fallacies due to ambiguity are fallacies in dictione . (AMB&ID-ME) The set of (...) fallacies due to ambiguity and fallacies in dictione together comprise the set of arguments said to be “dependent on mere expression”. Being “dependent on mere expression” and “dependent on language” are not the same (instances of the latter form a proper subset of instances of the former). (nME-FACT) All arguments that are not against the expression are “against the fact.” (FACT-ED) All fallacious arguments against the fact are fallacies extra dictionem (it is unclear whether the converse is true). (MAN-ARG) The solutions of fallacious arguments are exclusively either “against the man” or “against the argument.” (10) (F-ARG) Each (type of) fallacy has a unique solution (namely, the opposite of whatever causes the fallacy), but each fallacious argument does not. However, each fallacious argument does have a unique solution against the argument, called the ‘true solution’ (in other words, what fallacy a fallacious argument commits is determined by how it is solved. However, if the solution is ‘against the man’ then this is not, properly speaking, the fallacy committed in the argument. It is only the ‘true solution’—the solution against the argument, of which there is always only one—that determines the fallacy actually committed). (shrink)

In The Uses of Argument, Stephen Toulmin proposed a model for the layout of arguments: claim, data, warrant, qualifier, rebuttal, backing. Since then, Toulmin’s model has been appropriated, adapted and extended by researchers in speech communications, philosophy and artificial intelligence. This book assembles the best contemporary reflection in these fields, extending or challenging Toulmin’s ideas in ways that make fresh contributions to the theory of analysing and evaluating arguments.

Sweet Analytics, ‘tis thou hast ravish'd me,Bene disserere est finis logices.Is to dispute well logic's chiefest end?Affords this art no greater miracle?(Christopher Marlow, Doctor Faustus, Act 1,...

In this paper, I discuss the current thesis on the modern origin of the ad hominem-argument, by analysing the Aristotelian conception of it. In view of the recent accounts which consider it a relative argument, i.e., acceptable only by the particular respondent, I maintain that there are two Aristotelian versions of the ad hominem, that have identifiable characteristics, and both correspond to the standard variants distinguished in the contemporary treatments of the famous informal fallacy: the abusive and the circumstancial or (...) tu quoque types. I propose to reconstruct the two Aristotelian versions (see sections 1 and 2), which have been recognized again in the ninteenth century (sec. 3). Finally, I examine whether or not it was considered as a fallacious dialogue device by Aristotle and by A. Schopenhauer (sec. 4). (shrink)

En este trabajo planteo la pregunta de si la lógica de Aristóteles es o no una lógica formal. Respondo que, aunque las doctrinas contenidas en el Organon inauguren, efectivamente, la lógica formal, hay también buenas razones para pensar que Aristóteles no creía que la lógica fuese una disciplina que pudiera prescindir por completo del contenido. In this paper I discuss the question of whether Aristotle’s logic is a formal logic or not. I answer that, although the doctrines contained in the (...) Organon inaugurate indeed formal logic, there are also good reasons to think that Aristotle did not believe that logic was a discipline that ought to prescind completely from content. (shrink)

Sweet Analytics, ‘tis thou hast ravish'd me,Bene disserere est finis logices.Is to dispute well logic's chiefest end?Affords this art no greater miracle?(Christopher Marlow, Doctor Faustus, Act 1,...

Nous montrons dans cet article comment les approches dynamiques en logique contemporaine ont retrouvé, quoique sous d ’ autres attendus, une configuration théorique qu ’ on peut attribuer à Aristote au moment de la rédaction des Topiques. Dans cette configuration, la logique et la rhétorique – ou au moins la dialectique – se complètent dans le cadre conceptuel homogène offert par la dialectique, entendue comme une certaine forme relativement codifiée de débat critique. L ’ idée principale est qu ’ aujourd (...) ’ hui, de même qu ’ alors, la dialectique est le cadre dans lequel il est possible de penser le rapport entre la logique et les formes générales de l ’ argumentation d ’ une part, et entre la logique et la théorie de la connaissance scientifique d ’ autre part. (shrink)