The thirty year long friendship between Imre Lakatos and the classic scholar and historian of mathematics Árpád Szabó had a considerable influence on the ideas, scholarly career and personal life of both scholars. After recalling some relevant facts from their lives, this paper will investigate Szabó's works about the history of pre-Euclidean mathematics and its philosophy. We can find many similarities with Lakatos' philosophy of mathematics and science, both in the self-interpretation of early axiomatic Greek mathematics as Szabó reconstructs it, (...) and in the general overview Szabó provides us about the turn from the intuitive methods of Greek mathematicians to the strict axiomatic method of Euclid's Elements. As a conclusion, I will argue that the correct explanation of these similarities is that in their main works they developed ideas they had in common from the period of intimate intellectual contact in Hungarian academic life in the mid-twentieth century. In closing, I will recall some relevant features of this background that deserve further research. (shrink)

Even if Plato never claimed to be a ‘historian of philosophy’, there are in his dialogues many references to previous philosophers. Apart from his works on the Sophists, which do not claim to faithfully expose the ‘philosophy’ of their authors, we find in Plato’s dialogues comments and sometimes quotations from the Presocratics, from Thales to Philolaos. In some cases, Plato adds the name of the quoted philosopher, but sometimes he leaves to the reader the task of finding out who the (...) commented or quoted author is. This is the case with Melissos in a passage of the Sophist (244b), where his name is not quoted, but an anonymous monistic philosopher expounds a literal quotation of the philosopher: ἓν μόνον ἔστιν (fr. B 8.1 DK). (shrink)

La actual crisis pedagógica que vive Occidente, constatada por todos aquellos educadores que deben enfrentarse diariamente a unos estándares cada vez más bajos y al consecuente perjuicio en lo que a la autoridad del profesorado se refiere, fue ya profetizada en su momento por Hannah Arendt (“The Crisis in Education”). La educación es uno de los factores más importantes para definir la calidad de vida de un país y, desde esta perspectiva, una crisis educativa es una crisis en todos los (...) ámbitos sociales, económicos y, en última instancia, políticos. El presente artículo intenta exponer cómo la educación y el conocimiento fueron concebidos en la antigüedad a través de dos modelos, Grecia y China, para mostrar así en qué medida los autores clásicos pueden todavía enseñarnos con sentido común a afrontar los problemas metodológicos actuales. Mediante una exposición comparativa, se analizarán las teorías clásicas griegas, así como la epistemología y pedagogía en el confucianismo clásico y tempranomedieval, destacando cómo estos autores confrontaron relativismo, opinión y acumulación vacía de conoci-miento, frente a la búsqueda de la verdad y la selección cuidadosa y científica de saber. En última instancia, destacaremos la necesidad de recuperar nuestra tradición clásica para mantener un nivel educativo adecuado. (shrink)

Heraclitus is generally recognised as the first of the Greek thinkers to develop a psychology, but the understanding of his psychology is held back by the assumptions that his soul is a life-principle and is ‘comprehensive’ of the various faculties we regard as psychological. The fragment that best displays the revolutionary character of Heraclitus’ soul doctrine, from a properly psychological viewpoint, is B 85. I offer an extended analysis of this fragment in order to bear out the claims, firstly, that (...) psyche or ‘soul’ for Heraclitus is the intelligence alone, divine in origin, and secondly that thumos (primarily as the seat of desire) is a better candidate for his biological life-principle, whose exigencies are at odds with those of soul. I also offer some reflections on why, despite Heraclitus’ multifaceted influence on fifth-century thought, and despite the coherence of his psychology, this ‘revolution’ never quite took hold. (shrink)

This paper is devoted to the analysis of Plotinus’ citation of the Heraclitean saying B113 DK in the second treatise On the Presence of Being (VI 5 [23]). I shall argue that the use which the author of the Enneads makes of this fragment has been hitherto misunderstood by scholars and that, for this reason, the significance of the passage and its role within Plotinus’ argument have been missed. Close attention will be paid to the tool through which Plotinus conveys (...) his own reading of Heraclitus’ tenet, i.e. etymology, and to the passages in which he both lays down and puts into practice the programmatic guidelines for his interpretation of the Presocratic. In addition, I shall interpret Plotinus’ recourse to a wordplay which is, in character, quite Heraclitean as a proof of the importance of his philosophical engagement with the Obscure. (shrink)

Popper se muestra muy crítico con el proceso de especialización que afecta a las ciencias y a la filosofía, proceso que interpreta como signo inequívoco de una época postracionalista y postcrítica: la especialización, junto con las modas intelectuales y el recurso a la autoridad de los expertos, amenaza seriamente al conocimiento. Analizar las causas de la especialización científica y filosófica desde la perspectiva de Popper es el objetivo principal del siguiente trabajo. Se estudian, asimismo, algunas de las alternativas a la (...) especialización que Popper propone. (shrink)

Against the traditional interpretation of Doxa as intrinsically and thoroughly deceiving and untrustworthy, the present essay examines the passages which follow the self-characterization of the goddess’ speech as ‘deceitful.’ The traits of an extensive cosmogony and cosmology open up the possibility for discerning two aspects of Doxa: first a presentation of mortal erroneous opinions, but then also their correction within the framework of the ‘appropriate world-arrangement’ presented by the goddess.

This paper aims to gain multiple perspectives on Plato’s ontology through the analysis of the Intermediates. Plato refers to them to provide his cosmos with a dynamic structure, in which every part relates to a whole. Nevertheless, this definition could reverse in an opposite: the Intermediate justifies the sensible world to reach the ideal stability, concerning a mixture of being and nothing that gets purification from the becoming by degrees. In this interpretation, the sensibility absorbs life from the Forms, living (...) as their parasite. According to J. N. Findlay, the metaxy state is parasitical because of his logical exemplification of the Ideas, lacking an ontological substance. On the contrary, the void of the half-nothing takes a different role, necessary to establish a symbolic betweenness. (shrink)

Brandom's book Making It Explicit defends Davidson's claim that conceptual thought can arise only on the background of a practice of mutual interpretation, without endorsing the further view that one can be a thinker only if one has the concept of a concept. This involves giving an account of conceptual content in terms of what Brandom calls practical deontic attitudes. In this paper, I make a plea for the conclusion that these practical attitudes are best seen as intentional, but non-conceptually (...) contentful. In particular, I argue that the hypothesis that Brandom's practical deontic attitudes are non-conceptually contentful wouldn't conflict with his view that non-conceptual intentionality is merely derivative. I then explore some of the implications which this hypothesis might have with respect to various forms of «intentional ascent». (shrink)

Anaximenes is usually considered to be a material monist recognizing transparent atmospheric air as a principle (ἀρχή). In the cosmogonic explanation of the origin of the earth and the heavenly bodies, the Greek term ἀήρ turns out to mean rather ‘opaque damp mist’. However, Not only does it accord with archaic usage, but also with how it was used in his mentor, Anaximander. Yet, in cosmology ἀήρ means ‘air’ serving as stuff on which the earth and the heavenly bodies float. (...) Hence, in keeping with contemporary usage, Anaximenes recognised two kinds of ἀήρ, distinguishing them functionally. Whereas mist is conceived of as a generating substance, air functions only as carrying stuff. (shrink)

There is a strange contrast between, on the one hand, the prominent place generally assigned to Parmenides in the history of Greek philosophy, and on the other hand, the persistent uncertainty in the understanding of his teachings, as demonstrated by the large number of conflicting interpretations. In particular, there is no consent on the question whether Parmenides, in spite of the obvious weaknesses of his arguments, ought to be seen as the first proponent of a purely rational metaphysics, or whether, (...) in view of his assertion of the unreality of change and plurality and of the identity of thinking and being, we should first of all view him as a precursor of Plotinus, or even as a mediator between Indian Advaita-philosophy and Neo- Platonism. That question is the central issue considered in this paper. For it, only the first part of Parmenides’ poem is relevant: his “way of truth”. (shrink)

This page is dedicated to an analysis of the first section of Parmenides' Poem, the Way of Truth, with a selection of critical judgments by the most important commentators and critics. In the Annotated Bibliography I list the main critical editions (from the first printed edition of 1573 to present days) and the translations in English, French, German, Italian and Spanish, with a selection of studies on Parmenides; in future, a section will be dedicated to an examination of some critical (...) variants of the Greek text, with particular attention to corrections to the Diels-Kranz (abbreviated DK) edition of the Fragmente der Vorsokratiker. The fragments of Parmenides' Poem are cited according to Diels-Kranz numbering system as adopted in the 6th edition, Berlin 1952; the Poem is divided into three parts: the Proem fr. I, 1-32; the Way of Truth (Alethéia) from fr. II to VIII, 49, and the Way of Mortal Opinion (Doxa) fr. VIII, 50 to XIX, 3. (shrink)

The earliest mention of Melissus of Samos by name is found in the first chapter of the Hippocratic De natura hominis. In the following note, I attempt to examine what is meant by the reference Melissus’ ‘logos’ in this work and suggest, against previous accounts, including Galen’s, that it has little to do with his commitment to monism. Rather Melissus’ logos is better understood as his referring to his strategy for demonstrating such a conclusion, especially his use of a supplemental (...) argument in his fragment B8. Polybus’ concern in this first chapter is not monism as such but the claims to knowledge monists make. Melissus is a prime example of a monist who fails to grasp what he claims to know. (shrink)

In this paper, I investigate how Xenophanes was ‘eleaticised’, i.e. attributed theses and arguments that belong to Parmenides and Melissus. I examine texts of Plato, Aristotle and Theophrastus in order to determine if they considered Xenophanes as a philosopher and a monist. I show that neither Plato nor Aristotle regarded him as a philosopher, but rather as a pantheist poet who claimed, in a vague way, that everything is one. But Theophrastus interpreted too literally Aristotle’s claims and was the first (...) to make Xenophanes a proper monist philosopher. (shrink)

In the following paper, the author will try to test the meaning of the transcendental approach in respect of the inner changes implied by the idea of quantum gravity. He will firstly describe the basic methodological Kant’s aim, viz. the grounding of a meta-science of physics as the a priori corpus of physical knowledge. After that, he will take into account the problematic physical and philosophical relationship between the theory of relativity and the quantum mechanics; in showing how the elementary (...) ontological and epistemological assumptions of experience result to be changed within them, he will also show the further modifications occurred in the development of the loop quantum gravity. He will particularly focus on the tough problem of the relationship space-matter, in order to settle the decisive question about the possibility of keeping a transcendental approach in the light of quantum gravity. He will positively answer by recalling Cassirer’s theory of the invariants of experience, although he will also add some problematic issues arising from the new physical context. (shrink)

I shall tell you the story, propose an overview, and show the structure, goal, and peculiarities of this monstrous edition that I undertook forty-four years ago: the Heraclitea, of which ten volumes have appeared since 1999. One volume was published in November 2011 and a few others are still in preparation. While telling you this story, I shall strive to show the radical differences between my approaches and the standard ones taught worldwide in the departments of classics and ancient philosophy (...) in universities. (shrink)

Resumen: El presente trabajo esbozará ciertos elementos para una interpretación global del proemio de Parménides, a partir del análisis de uno de sus elementos centrales: las doncellas hijas del sol. Tras examinar las acciones que éstas realizan dentro de la narración, y con el objetivo de defender una interpretación alegórica, se definirá la actividad alegórica arcaica mediante algunos ejemplos. Finalmente, se trazarán los cimientos para una revalorización crítica de la interpretación de sexto Empírico y se argumentará que la alegoría platónica (...) del carro alado como símbolo de la se halla motivada por la ambigüedad intrínseca del relato, ambigüedad que tiene por objeto mostrar la unidad real de los contrarios aparentes a través del símbolo de las doncellas hijas del sol.: This paper will outline several guiding principles concerning a comprehensive interpretation of Parmenides' proem through the analysis of one of its essential elements: the daughters of the Sun. After examining the actions they perform throughout the narrative and in order to defend an allegorical interpretation of them, some features of the archaic allegorical activity will be defined by the analysis of some examples. Finally, we will trace the foundations for a critical reappraisal of Sextus Empiricus' interpretation and we will argue that Plato's allegory of the "winged chariot" as a symbol of the ψυχή in the Phaedrus could well be closely recreating and evoking the Parmenidean myth of the proem. The hermeneutic disjunction may be motivated by the intrinsic ambiguity of the narration, an ambiguity intended to show the real unity of apparent opposites by using the symbol of the daughters of the Sun. (shrink)

The paper demonstrates that Parmenides’ monism is a logical consequence of his criteria for philosophy, in conjunction with the logical operators he uses, and their holistic connection. Parmenides, I argue, is the first philosopher to set out explicit criteria for philosophy, establishing as criterion not only consistency, but also what I call rational admissibility, the requirement when giving an account of something that the account be based on rational analysis and can withstand rational scrutiny. I give a detailed account of (...) the logical operators Parmenides uses in his argument and of the way in which his notion of being is tailored to fit both them and his criteria for philoso-phy. (shrink)