The Parmenides has been unduly overlooked in discussions of hypothesis in Plato. It contains a unique method for testing first principles, a method I call ‘exploring both sides’. The dialogue recommends exploring the consequences of both a hypothesis and its contradictory and thematizes this structure throughout. I challenge the view of Plato’s so-called ‘method of hypothesis’ as an isolated stage in Plato’s development; instead, the evidence of the Parmenides suggests a family of distinct hypothetical methods, each with its own peculiar (...) aim. Exploring both sides is unique both in its structure and in its aim of testing candidate principles. (shrink)

Este trabajo pretende ser una referencia útil para los estudiosos de la filosofía de Platón. Aporta un enfoque original a la investigación de los procesos lógicos que condicionan que unas formas participen de otras. Con la introducción del concepto de participación relacional, abre una posible vía de solución a las distintas versiones del argumento del «tercer hombre». Puede resultar de interés asimismo el método de generación de los números a partir de lo par y lo impar, propuesto en la interpretación (...) de Parménides 143e-144a. El escrito tiene continuidad en un segundo artículo acerca del ser y la verdad en Platón. (shrink)

Empleando procedimientos de la lógica simbólica, se intenta contribuir a una mejor comprensión del ejercicio dialéctico llevado a cabo en el Parménides. La interpretación de las formas del ser y el no ser a partir de la oposición entre el objeto de conocimiento y el pensamiento acerca del mismo, abre la puerta a una manera original de enfocar el problema de la verdad en Platón. Puede resultar interesante, asimismo, la solución que se propone a la aporía planteada en Parménides 132b-c, (...) relativa a la confusión del pensamiento o el no ser con otras formas. (shrink)

This paper provides an original approach to research on the logical processes that determine how certain forms participate in others. By introducing the concept of relational participation, the problems of self-referentiality of the Platonic forms can be dealt with more effectively. Applying this to the forms of likeness and unlikeness in Parmenides 132d-133a reveals a possible way to resolve different versions of the Third Man Argument. The method of generating numbers from oddness and evenness may also be of interest; relational (...) participation in these forms clarifies the interpretation of Parmenides 143e-144a. (shrink)

In the 'Hippias Major' Socrates uses a counter-example to oppose Hippias‘s view that parts and wholes always have a "continuous" nature. Socrates argues, for example, that even-numbered groups might be made of parts with the opposite character, i.e. odd. As Gadamer has shown, Socrates often uses such examples as a model for understanding language and definitions: numbers and definitions both draw disparate elements into a sum-whole differing from the parts. In this paper I follow Gadamer‘s suggestion that we should focus (...) on the parallel between numbers and definitions in Platonic thought. However, I offer a different interpretation of the lesson implicit in Socrates‘s opposition to Hippias. I argue that, according to Socrates, parts and sum-wholes may share in essential attributes; yet this unity or continuity is neither necessary, as Hippias suggests, nor is it impossible, as Gadamer implies. In closing, I suggest that this seemingly minor difference in logical interpretation has important implications for how we should understand the structure of human communities in a Platonic context. (shrink)