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)

How do we live, then, so that all of nature bows down and we are in despair? “We wanted to change the world and the world changed us", says Nino Manfredi in Ettore Scola's film, C'eravamo tanto amati, something so expressive of this vital mode that dominates us. But to try not to be transformed by what we live seems impossible, even unfortunate, because a man always lives in his present, and in doing so lives with his fellow men. (...) Only in this way is it possible to live in a political society, to create a public sphere. Politics is born of sharing together, of words and deeds, as Hannah Arendt reminds us (3). (shrink)

¿Cómo vivimos, pues, para que toda la naturaleza se doblegue y estemos en la desazón? "Queríamos cambiar el mundo y el mundo nos cambió a nosotros”, dice Nino Manfredi en la película de Ettore Scola, C'eravamo tanto amati, algo tan expresivo de este modo vital que nos domina. Pero aspirar a que no nos transforme lo que vivimos parece imposible, incluso desafortunado, ya que un hombre vive siempre en su presente, y al hacerlo habita con sus semejantes. Sólo así (...) es posible vivir en una sociedad política, hacer una esfera pública. La política nace de compartir juntos, palabras y actos, nos recuerda Hannah Arendt (3). (shrink)