The knower paradox states that the statement ‘We know that this statement is false’ leads to inconsistency. This article presents a fresh look at this paradox and some well-known solutions from the literature. Paul Égré discusses three possible solutions that modal provability logic provides for the paradox by surveying and comparing three different provability interpretations of modality, originally described by Skyrms, Anderson, and Solovay. In this article, some background is explained to clarify Égré’s solutions, all three of which hinge on (...) intricacies of provability logic and its arithmetical interpretations. To check whether Égré’s solutions are satisfactory, we use the criteria for solutions to paradoxes defined by Susan Haack and we propose some refinements of them. This article aims to describe to what extent the knower paradox can be solved using provability logic and to what extent the solutions proposed in the literature satisfy Haack’s criteria. Finally, the article offers some reflections on the relation between knowledge, proof, and provability, as inspired by the knower paradox and its solutions. (shrink)

La oposición a una estricta separación entre las dimensiones dialéctica y retórica de la actividad argumentativa es una de las aportaciones más destacadas y peculiares de la denominada escuela holandesa sobre argumentación. Frans H. van Eemeren y Peter Houtlosser reaccionaron contra una separación estricta entre dialéctica y retórica en varios trabajos, pero uno de los más inspiradores es sin duda su artículo “William the Silent’s argumentative discourse” (1998) presentado en la ciudad de Ámsterdam con ocasión de la cuarta conferencia (...) organizada por la International Society for the Study of Argumentation (ISSA). Sobre este tema siguieron investigando para presentar un análisis de la perspectiva dialéctica inherente al caso de Guillermo I de Orange en un congreso de la Japan Debate Association en Tokio (van Eemeren y Houtlosser, 2000). (shrink)

A key and continuing concern within the pragma-dialectical theory of argumentation is how to account for effective persuasion disciplined by dialectical rationality. Currently, van Eemeren and Houtlosser offer one response to this concern in the form of strategic manoeuvring. This paper offers a prior/passing theory of communicative interaction as a supplement to the strategic manoeuvring approach. Our use of a prior/passing model investigates how a difference of opinion can be resolved while both dialectic obligations of reasonableness and rhetorical ambitions (...) of argumentative success are simultaneously accommodated. The paper explores the model with particular reference to the pragma-dialectical rules of critical discussion, strategic manoeuvring and fallacious reasoning. (shrink)