Jorge Alejandro Florez-Restrepo

Peirce’s theory of the origin of abduction in Aristotle’s Prior Analytics II.25 is based on his account of abduction as a second-figure syllogism. Peirce read the difficult and (what he thought to be) corrupted passage of Prior Analytics II.25 and tried to amend its errors and explain its difficulties in order to argue that Aristotle was trying to present a syllogism in the second figure that infers a case, which is Peirce’s definition of abduction. “[H]e would not be Aristotle, to have overlooked [the] question” whether such an inference sometimes occurs, said Peirce in his 1901 paper “The Logic of Drawing History from Ancient Documents” (CP 7.249). Several years after suggesting that Aristotle had described..

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.

El presente artículo argumenta que hay un desarrollo en la postura de Platón frente a la geometría. A partir del primer contacto con la geometría, Platón se sintió atraído hacia la geometría por sus sorprendentes resultados. Por tal motivo, en un primer momento, Platón presenta en el Menón y en el Teeteto a la geometría como una ciencia ejemplar y le pide a los interlocutores que imiten sus procesos. En un segundo momento, Platón en la República incluye a la geometría dentro de la filosofía, hace que el método de la geometría fundamente a su máxima ciencia dialéctica, incluye a los entes geométricos dentro del edificio ontológico, y a la ciencia geométrica dentro de las disciplinas que el rey-filosofo debe estudiar para ascender a las ideas. En un tercer momento, en el Timeo, la geometría es la ciencia básica que utiliza el Demiurgo para componer al universo.

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 (but no all) 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.

This chapter enquires into the possibility of having types of abduction. In the two first sections, it explores the classification of types of abduction given by Peirce and those given by scholars, such as Thagard, Eco, Hoffman, Schurz, Aliseda, and others. The journey across their suggestions of types of abduction permits not only to see the number and definition of those types, but it also permits to identify the criteria according to which those classifications were obtained. In the last section, the author evaluates those suggestions and unifies the criteria used by the scholars in order to propose that abduction is a very prolific and varied inference.

El presente artículo ofrece un análisis del concepto de continuidad, tal como fue desarrollado por dos de sus principales exponente, Leibniz y Peirce. Comienza por definir el significado del concepto, señalando las diferentes propiedades del continuum identificadas en ambos autores. Después señala las consecuencias y aplicaciones filosóficas que el concepto tiene para ambos filósofos, en especial para la ontología. En primer lugar, expone lo que Leibniz llamó la ley de continuidad y sus diferentes versiones. Luego, se habla de lo que Peirce denominó «sinequismo», que constituye el conjunto de ideas de este filósofo acerca de la continuidad y de sus implicaciones filosóficas. Aquí se intenta mostrar, especialmente, como el sinequismo constituye la clave para la comprensión de muchos problemas lógicos, epistemológicos y metafísicos, como el de la validez de los axiomas de la lógica, la justificación del conocimiento, el dualismo mente cuerpo, el evolucionismo y el realismo acerca de los universales.