This paper presents the topological arrangements in four geometrical figures of modal propositions and their derivative relations by means of Peirce's gamma graphs and their rules of transformation. The idea of arraying the gamma graphs in a geometric and symmetrical order comes from Peirce himself who in a manuscript drew two cubes in which he presented the derivative relations of some gamma graphs. Therefore, Peirce's insights of a topological order of gamma graphs are extended here backwards from the cube to (...) the line and the square; and then forwards from the cube to the four-dimensional polyhedron. (shrink)

Este artículo rastrea la presencia del realismo, el empirismo y el sinequismo en las teorías de la cognición de Aristóteles y de Charles S. Peirce. Los dos primeros términos se relacionan comúnmente con ambos autores, pero aquí se quiere precisar en detalle qué semejanzas y diferencias hay entre el realismo y el empirismo de estos dos filósofos. De otro lado, el sinequismo se relaciona solo con Peirce, mientras que a Aristóteles se le ubica precisamente como opositor a cualquier idea de (...) continuidad e infinito. Lo que se quiere mostrar aquí es que, al menos en el ámbito de la cognición, Aristóteles es también un sinequista. Otro punto importante del artículo es que intenta criticar y corregir la interpretación que hace Peirce del empirismo de Aristóteles al intentar erróneamente de afirmar que el filósofo griego es un intuicionista. (shrink)

Peirce’s idea of an unlimited community has been usually analyzed from its role in science and the normative ideal of truth. However, it is essential to understand the role of the community of inquiry in light of the other normative sciences, aesthetics and ethics, since according to Peirce, any endeavor to know that is not guided by the esthetical ideal of admirable per se should not be considered as proper science, but as a power tool to benefit some elite. This (...) article aims to analyze Peirce’s idea of community of inquiry in light of sentimentalism and the normative sciences in order to evidence that such community is not elitist, but open, insofar as it is also lured by the summum bonum and the admirable per se. Finally, we provide a more organic reading of Peirce’s work, opening the way to consider possible consequences of this position from an ethical and political perspective. (shrink)