La exposición y crítica de las doctrinas antiguas tiene un lugar importante en los escritos de Aristóteles. Sin embargo, ciertas dudas se han vuelto corrientes acerca de la confiabilidad de sus descripciones. Más aún, se ha sostenido que Aristóteles deforma la comprensión histórica a través de la introducción de conceptos y términos propios. En este libro se aborda el problema a través de un análisis de las críticas que Aristóteles dirige a la teoría platónica de las Ideas, que permite explicar (...) la constitución y desarrollo de importantes conceptos aristotélicos a partir de la confrontación dialéctica con las doctrinas de su maestro. En efecto, las dificultades genuinas que Aristóteles descubre en el platonismo constituyen el motor para gestar nuevos conceptos, que no son ajenos, sino que surgen como implicaciones del examen crítico. Así, la imposición de términos propios no debe interpretarse como distorsión, sino como el modo que Aristóteles adopta para exhibir su particular solución a los problemas que los filósofos anteriores dejaron sin solución. (shrink)

A complete philosophy of mathematics must address Paul Benacerraf’s dilemma. The requirements of a general semantics for the truth of mathematical theorems that coheres also with the meaning and truth conditions for non-mathematical sentences, according to Benacerraf, should ideally be coupled with an adequate epistemology for the discovery of mathematical knowledge. Standard approaches to the philosophy of mathematics are criticized against their own merits and against the background of Benacerraf’s dilemma, particularly with respect to the problem of understanding the distinction (...) between pure and applied mathematics and the effectiveness of applied mathematics in the natural sciences and engineering. The evaluation of these alternatives provides the basis for articulating a philosophically advantageous Aristotelian inherence concept of mathematical entities. An inherence account solves Benacerraf’s dilemma by interpreting mathematical entities as nominalizations of structural spatiotemporal properties inhering in existent spatiotemporal entities. (shrink)

A distinction between knowledge and belief is set out and justified at the end of Book V of Plato’s Republic. The justification is intended to establish the claim of the philosophers to rule in an ideal state. I set out the argument and explain why considerable disagreement remains about the nature of the distinction and the assumptions on which it rests. I discuss the main options for interpreting the justification, briefly assessing their strengths and weaknesses. I conclude with comments on (...) recent developments, and by drawing attention to a neglected aspect of Plato’s distinction. (shrink)

This paper is divided in five sections. Section 11.1 sketches the history of the distinction between speech act with negative content and negated speech act, and gives a general dynamic interpretation for negated speech act. “Downdate semantics” for AGM contraction is introduced in Section 11.2. Relying on semantically interpreted contraction, Section 11.3 develops the dynamic semantics for constative and directive speech acts, and their external negations. The expressive completeness for the formal variants of natural language utterances, none of which is (...) a retraction, has been proved in Section 11.4. The last section gives a laconic answer to the question posed in the title of the paper. (shrink)

There is a problem about belief and knowledge in Plato's epistemology that has exercised serious students of Plato only to settle into a recent orthodoxy. Guthrie characterizes the problem and its current resolution this way: ‘In the Meno doxa appeared to be a dim apprehension of the same objects of which knowledge is a clear and complete understanding … in the Republic each is directed to different objects, knowledge to the Forms and doxa to the sensible world alone … at (...) least the opinion seems now to prevail that on the relationship between doxa and knowledge Meno and Republic are irreconcilable, and exhibit a complete change of mind on Plato's part.'. (shrink)

In this paper I wish to argue for a view that, despite its traditional standing, has not yet in any detail been defended. The view is briefly that in the Republic, at the point where Plato is engaged in contrasting the true philosopher with the “lover of sights and sounds”, he characterises sensible particulars — referred to as “the many” — as being bearers of opposite properties in so radical a manner that they can be said neither to be nor (...) not to be: they lie somewhere between being and utter non-being.There are two related reasons why this traditional view should now be closely scrutinised. The first is that, whatever the outcome, the passage of the Republic in question — 475a-480a — is quite crucial to our understanding of the development of Plato's thought about sensible particulars. The second’ is that it has been suggested recently, and ably argued, that Plato is not in fact talking about particulars at all; rather about types or sorts of particulars. (shrink)