Here I interpret a central passage in Plato's Sophist by focusing on understudied elements that provide insight into the fit of the dialogue's parts and the Sophist-Statesman diptych as a whole. I argue that the Eleatic Stranger's account of what the dialectician "adequately views" at Sophist 253d1-e3 involves both division and the communion of ontological kinds, not just one or the other as has been typically argued. I also consider other key passages and the turn throughout the dialogue from imagistic (...) opining toward noetic understanding. (shrink)

We critically reconsider an old hypothesis of the role of the dekad in Pythagorean philosophy. Unlike Zhmud, we claim that: 1) the dekad did play a role in Philolaus’ astronomical system, and 2) Aristotle did not project Plato’s theory of the ten eidetic numbers onto the Pythagoreans. We claim that the dekad, as the τέλειος ἀριθμός, should be understood in Philolaus’ philosophy as completeness and the basis of counting in Greek – as in most other languages – in a decimal (...) system. Additionally, we argue that the number ten is not even a candidate for the τέλειος ἀριθμός in Plato’s philosophy. As a final result of our discussion, we compare and contrast Philolaus’, Plato’s, and Speusippus’ accounts of completeness in relation to numbers. (shrink)

What I intend to do in the following pages is to focus on what might be termed the most important turn in the very dimension of ideality throughout the history of Western culture: the introduction of the notion of ideal drawn from Plato’s notion of idea, and especially its singular contemporary destiny. In the first part of the article, I am going to analyze Kant’s introduction of the notion of ideal and Hegel’s reading of it, and I am going to (...) argue that the former affirms a dualistic relationship which the latter negates. In the second part of the article, I am going to reason on the actual effects of both the affirmation and the negation of the dualism between the ideal and the real, especially focusing on the forms of totalitarianism and anarchism which characterized the twentieth-century history of Western culture. This will lead me to argue that we should try to avoid both the bad uses of the ideal and the death of the ideal in order to work on a notion of ideal which could be an exceedingly promising tool for us to change and improve the real. This change and improvement can be achieved through the affirmation of the dualistic relationship between the ideal and the real, and more specifically through what I will call an evolutionary notion of ideal versus a revolutionary notion of ideal. (shrink)

In the so-called “erotic dialogues”, especially the Symposium and the Phaedrus, Plato explained why erotic desire can play an epistemic function, establishing a strong connection between erotic desire and beauty, “the most clearly visible and the most loved” among the Ideas. Taking the erotic dialogues as a background, in this paper I elucidate Plato’s explanation in another context, the one of the Phaedo, for discussing the epistemic function of erotic desire in relation to the deficiency argument and the affinity argument. (...) My claim is that the erotic desire of the philosopher is activated by the recognition of traces of the Ideas as something that the material world lacks and that, nevertheless, his soul is familiar with. This desire for the Ideas triggers the process of recollection, and thus erotic desire acquires a decisive role in the acquisition of knowledge in the Phaedo. In the final section of the paper, I highlight the contemporary relevance of Plato’s epistemology of erotic desire. (shrink)

This paper presents a new interpretation of the objects of dianoia in Plato’s divided line, contending that they are mental images of the Forms hypothesized by the dianoetic reasoner. The paper is divided into two parts. A survey of the contemporary debate over the identity of the objects of dianoia yields three criteria a successful interpretation should meet. Then, it is argued that the mental images interpretation, in addition to proving consistent with key passages in the middle books of the (...) Republic, better meets those criteria than do any of the three main positions. (shrink)

With the use of a particular metaphor, which appears at the end of the Cratylus and is taken up with perfect symmetry at the beginning of the Theaetetus, Plato certainly wanted to indicate the succession of Cratylus–Theaetetus as an order for reading the two dialogues, which Trasillus faithfully reproduced in structuring the second tetralogy of Platonic dialogues. The claim of the theory of ideas, with which the Cratylus ends, must therefore be considered the background in which to place not only (...) the analysis of the name carried out in the Cratylus, but also the discussion and criticism of the epistemological theories examined and refuted in the Theaetetus. The transition from the discussion of the name to that of the logos is another important theoretical element that connects the two dialogues. Another one is the theory of knowledge, already precisely elaborated in the Cratylus, and taken up and deepened in the Theaetetus. Finally, the theme of false and error is a third theoretical element common to the two dialogues, which, starting from Euthydemus, finds its solution in the Sophist. (shrink)

RésuméEn expliquant la relation entre hypothèses et images dans l'analogie de la ligne du livre Vl de laRépubliquede Platon, je m'attarde d'abordsur l'élucidation platonicienne de la nature des mathématiques telle que la conçoit le mathématicien lui-même. Je poursuis avec une critique des interprétations traditionnelles de cette relation, qui partent de l'assomption douteuse que les mathématiques s'occupent des Formes platoniciennes. Pour formuler mon point de vue sur cette relation, j'exploite la notion de «structure». Je montre comment les «hypothèses» comme principes de (...) preuve peuvent déterminer les structures des «images» par lesquelles les structures intelligibles correspondantes des objets mathématiques en viennent à être connues. (shrink)

RésuméEn expliquant la relation entre hypothèses et images dans l'analogie de la ligne du livre Vl de laRépubliquede Platon, je m'attarde d'abordsur l'élucidation platonicienne de la nature des mathématiques telle que la conçoit le mathématicien lui-même. Je poursuis avec une critique des interprétations traditionnelles de cette relation, qui partent de l'assomption douteuse que les mathématiques s'occupent des Formes platoniciennes. Pour formuler mon point de vue sur cette relation, j'exploite la notion de «structure». Je montre comment les «hypothèses» comme principes de (...) preuve peuvent déterminer les structures des «images» par lesquelles les structures intelligibles correspondantes des objets mathématiques en viennent à être connues. (shrink)

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)

The Web initially emerged as an “antidote” to accumulated scientific knowledge, since it enables global representation and communication at a minimum cost. Its gigantic scale and interdependence allow us our ability to find relevant information and develop trustworthy contexts. It is time for science to compensate by providing an epistemological “antidote” to Web issues. Philosophy should be in the front line by forming the salient questions and analysis. We need a theory about Web being that will bridge philosophical thinking and (...) engineering. This article analyzes existence and spatiotemporality in the Web and how it transforms the traditional actualities. The resulting issues concern the self-determination of a being and the way in which the Web could be a free and open platform for innovation and participation. (shrink)

ABSTRACTThis article aims at understanding the functions of the forms of Being and the Other in Plato's Sophist. In contrast with a linguistic interpretation purporting to draw a distinction between uses of the verb “to be,” I shed light on the ontological role ascribed to “the great genus” in the interweaving of forms. Focusing on the vowel analogy, I argue that the roles of Being and the Other respectively are that of a connector and a separator actualizing the participations and (...) the differences between the forms. The outcome of this analysis is to offer an explanation of the dialectical methods described in that dialogue in a rather obscure, abstract way; the much-debated question of self-predication can be settled without recourse to selfparticipation. (shrink)

ABSTRACTThis article aims at understanding the functions of the forms of Being and the Other in Plato's Sophist. In contrast with a linguistic interpretation purporting to draw a distinction between uses of the verb “to be,” I shed light on the ontological role ascribed to “the great genus” in the interweaving of forms. Focusing on the vowel analogy, I argue that the roles of Being and the Other respectively are that of a connector and a separator actualizing the participations and (...) the differences between the forms. The outcome of this analysis is to offer an explanation of the dialectical methods described in that dialogue in a rather obscure, abstract way; the much-debated question of self-predication can be settled without recourse to selfparticipation. (shrink)

This paper takes a detailed look at the Republic’s Divided Line analogy and considers how we should respond to its most contentious implication: that pistis and dianoia have the same degree of ‘clarity’ (σαφήνεια). It argues that we must take this implication at face value and that doing so allows us to better understand both the analogy and the nature of dianoia.

Several difficulties that accompany Plato's theory of Forms have received considerable attention in the philosophical literature in the past half century. A great deal of discussion and controversy surrounds the dialogue Parmenides and the group of considerations commonly called the “Third Man Argument”. Our purpose here is to strike out in one direction suggested by this passage, but it can in no way be thought of as an exegesis nor a logical elucidation of the “Third Man Argument” itself. While what (...) we shall say here has an obvious affinity and connection with the Parmenides passage, the two principal questions that concern us here are of a more general nature than the specific points in the Parmenides. The first is whether Plato's theory of Forms involves a regress which is ruinous to the theory. The second is, if a self-destructive regress is a necessary consequence of the theory, what elements of Plato's theory make the regress inescapable. (shrink)

The role and precise significance of Intelligible Matter in the philosophy of Plotinus has been neglected or dismissed with many questions unanswered. In view of the fact that, unless this role can be properly understood, the whole doctrine of the procession of the Second Hypostasis must remain mysterious, this paper is intended to shed light on two important aspects of that Hypostasis: the nature of Intelligible Matter itself and the relation of that Matter to the Forms.

The role and precise significance of Intelligible Matter in the philosophy of Plotinus has been neglected or dismissed with many questions unanswered. In view of the fact that, unless this role can be properly understood, the whole doctrine of the procession of the Second Hypostasis must remain mysterious, this paper is intended to shed light on two important aspects of that Hypostasis: the nature of Intelligible Matter itself and the relation of that Matter to the Forms.

This article presents an historical and conceptual overview on different approaches to logical abstraction. Two main trends concerning abstraction in the history of logic are highlighted, starting from the logical notions of concept and function. This analysis strictly relates to the philosophical discussion on the nature of abstract objects. I develop this issue further with respect to the procedure of abstraction involved by (typed) λ-systems, focusing on the crucial change about meaning and predicability. In particular, the analysis of the nature (...) of logical types in the context of Constructive Type Theory allows elucidation of the role of the previously introduced notions. Finally, the connection to the analysis of abstraction in computer science is drawn, and the methodological contribution provided by the notion of information is considered, showing its conceptual and technical relevance. Future research shall focus on the notion of information in distributed systems, analysing the paradigm of information hiding in dependent type theories. (shrink)

This paper defends Plotinus’ reading ofSophist248e-249d as an expression of the togetherness or unity-in-duality of intellect and intelligible being. Throughout the dialogues Plato consistently presents knowledge as a togetherness of knower and known, expressing this through the myth of recollection and through metaphors of grasping, eating, and sexual union. He indicates that an intelligible paradigm is in the thought that apprehends it, and regularly regards the forms not as extrinsic “objects” but as the contents of living intelligence. A meticulous reading (...) ofSophist248e-249d shows that the “motion” attributed to intelligible being is not temporal change but the activity of intellectual apprehension. Aristotle’s doctrines of knowledge as identity of intellect and the intelligible, and of divine intellect as thinking itself, are therefore in continuity with Plato, and Plotinus’ doctrine of intellect and being is continuous with both Plato and Aristotle. (shrink)

What I intend to do in the following pages is to focus on what might be termed the most important turn in the very dimension of ideality throughout the history of Western culture: the introduction of the notion of ideal drawn from Plato’s notion of idea, and especially its singular contemporary destiny. In the first part of the article, I am going to analyze Kant’s introduction of the notion of ideal and Hegel’s reading of it, and I am going to (...) argue that the former affirms a dualistic relationship which the latter negates. In the second part of the article, I am going to reason on the actual effects of both the affirmation and the negation of the dualism between the ideal and the real, especially focusing on the forms of totalitarianism and anarchism which characterized the twentieth-century history of Western culture. This will lead me to argue that we should try to avoid both the bad uses of the ideal and the death of the ideal in order to work on a notion of ideal which could be an exceedingly promising tool for us to change and improve the real. This change and improvement can be achieved through the affirmation of the dualistic relationship between the ideal and the real, and more specifically through what I will call an evolutionary notion of ideal versus a revolutionary notion of ideal. (shrink)

O objetivo deste artigo é analisar os usos que Werner Heisenberg fez da filosofia grega em sua obra. Pretende-se relacionar tais usos não apenas com a argumentação interna presente nos textos do físico alemão, mas também com o contexto histórico, conflitos e debates entre as diversas interpretações da teoria dos quanta durante a primeira metade do século XX. Faremos, inicialmente, uma apresentação geral da teoria quântica e da presença da filosofia na obra de Heisenberg e, em seguida, um estudo de (...) caso da apropriação que Heisenberg fez do pensamento de Leucipo, Demócrito, Heráclito, Platão e Aristóteles. (shrink)

In 1953 Marshall Clagett presented a preliminary scheme of the medieval Latin versions of Euclid'sElements. Since then a considerable body of these texts has become available in critical editions, thanks to Clagett's labours on the Archimedean tradition and H. L. L. Busard's work on the Euclidean versions. Further, Busard, M. Folkerts, R. Lorch and C. Burnett have scrutinized the pivotal ‘second’ version of Adelard of Bath, and have thereby exposed a diversity of text forms that spells real complications for the (...) effort to establish its provenance and use. In his recent overview of the medieval Euclidean tradition, Folkerts displays not only how these studies have filled out and expanded upon Clagett's initial framework, but also how they have compelled rethinking of some basic issues, such as on the source relations and authorship of the various versions. (shrink)

In the twenty-fourth aporia of Theophrastus' Metaphysics, there appears an important, if ‘bafflingly elliptical’, ascription to Plato and the ‘Pythagoreans’ of a theory of reduction to the first principles via ‘imitation’. Very little attention has been paid to the idea of Platonic and ‘Pythagorean’ reduction through the operation of ‘imitation’ as presented by Theophrastus in his Metaphysics. This article interrogates the concepts of ‘reduction’ and ‘imitation’ as described in the extant fragments of Theophrastus’ writings – with special attention to his (...) Metaphysics – in an attempt to make sense of how, precisely, Theophrastus characterizes the metaphysical systems of Plato and the ‘Pythagoreans’. A fuller examination of Aporia 24 produces important new understandings of the nature of the Early Academy in the mid fourth century B.C.E. Specifically, by ascribing the concept of reduction via ‘imitation’ to Plato and the ‘Pythagoreans’, Theophrastus is actually describing theories about the structure of the universe held by an important Platonist competitor and the contemporary head of the Academy in Athens, Xenocrates of Chalcedon (396/5–314/13 B.C.E.), who (a) took it upon himself to establish a Platonic doctrine that could be associated with his master’s writings and (b) coordinated that doctrine with the philosophical precepts of the Pythagoreans. As a consequence, we are prompted to question Aristotle’s famous ascription of a theory of ‘imitation’ to the metaphysics of the genuine contemporary or recently deceased Pythagoreans (such as Philolaus of Croton or Archytas of Tarentum) and consider how Xenocrates’ writings on Plato and the ‘Pythagoreans’ might be informing both Theophrastus’ and Aristotle’s descriptions of the Platonic and Pythagorean philosophical system(s). (shrink)

Este estudio reconstruye el juicio de Sócrates, especialmente, el caso levantado por los acusadores. La primera parte es una discusión sobre las fuentes que tenemos disponibles para reconstruir el juicio, especialmente el análisis de Jenofonte en Memorabilia. La segunda parte reconstruye el juicio basados en una nueva evaluación de las fuentes. La tercera parte discute los aspectos políticos del juicio, y argumenta que haber levantado acusaciones políticas contra Sócrates no era necesariamente una infracción a la amnistía del 403. Más aún, (...) un estudio prosopográfico del círculo social alrededor de Sócrates muestra que un alto número de sus “amigos” eran ciudadanos que se habían unido a la revolución oligárquica del 411 y del 404-403 y habían sido condenados por traición y/o impiedad. Finalmente, se presenta un diálogo pseudo-platónico entre Sócrates y Ánito en el que Sócrates tiene que admitir que la democracia es la mejor constitución posible. (shrink)

Dans la première partie duParménide, Socrate présente une théorie des Formes qui explique la comprésence d’opposés dans les choses ordinaires et soutient que les Formes ne peuvent avoir des caractéristiques opposées. Dans la deuxième partie, Parménide s’appuie sur les propos de Socrate; il en dérive des conséquences inacceptables — que la Forme de l’Un n’existe pas, et ainsi, que rien n’existe. Cette conclusion est indéniablement fausse. Pour éviter ceci, Socrate doit abandonner la thèse exposée dans la première partie et trouver (...) une manière de préserver la fonction explicative des Formes. Cet article expose la structure de l’exercice qui occupe la deuxième partie du dialogue. (shrink)

This paper examines the soul-turning metaphor in Book 7 of Plato’s Republic. It argues that the failure to find a consistent reading of how the metaphor is used has contributed to a number of long-standing disagreements, especially concerning the more famous metaphor with which it is intertwined, the Cave allegory. A full reading of the metaphor, as it occurs throughout Book 7, is offered, with particularly close attention to what is one of the most difficult and stubbornly divisive passages in (...) Book 7, 532b6–d1. (shrink)

It is a matter of philosophical debate whether Jonathan Israel’s assessment of Spinoza’s notion of ‘state religion’ can be interpreted as an atheistic and Marxist reading of Spinoza. Contrary to the widely accepted view, Spinoza has a peculiar understanding of religion; and thus, his views cannot, simply, be equated with atheism. By relying on this fact, in this article, I am going to shed light on the issue and try to show to what extent Israel’s interpretation goes beyond what Spinoza (...) himself claims and whether or not Spinoza’s views can make him an atheist. Another concern of the text will be elucidating Marx’s critique of Bruno Bauer’s argument for the abolition of religion and laying bare if there is any continuity between Marx and Spinoza on the problem of religion. After Israel’s interpretation is restated, both Spinozistic view of religion, as he puts forward in the Theological-Political Treatise [Tractatus Theologico- Politicus, 1670] and Political Treatise [Tractatus Politicus, 1676] and Marx’s arguments on the same issue in “On the Jewish Question” [in Deutsch-Franzosische Jahrbucher, 1844] will be examined in detail. Depending on these investigations, it will be argued that what Israel defends in his text Radical Enlightenment [2001] does not make Spinoza an atheist; on the contrary, although Spinoza is not an advocate of the commonsensical view of religion, he defends his own understanding of religion—which causes him to be regarded, prejudicedly, as an atheist. Furthermore, it will be pointed out that Israel’s interpretation cannot be a Marxist interpretation either because Marx’s critique of religion is generally misunderstood and mistaken with that of Bruno Bauer. Neither Spinoza’s views on religion nor that of Marx are completely compatible with what Israel defends in Radical Enlightenment; nevertheless, this does not mean that Israel tries to make an atheist or Marxist out of Spinoza through his appropriation of the philosopher. (shrink)

Gregory Vlastos je v svoji znani rekonstrukciji argumenta »tritos anthropos« menil, da je regres tretjega človeka usodna napaka platonske teorije idej, saj vpeljuje najmanj dve protislovni logični značilnosti tega nauka: predpostavlja namreč dve načeli, samopripis in neistovetnost. Argument tretjega človeka zato obravnavam na podlagi upoštevanja omenjenih načel in njune veljavnosti v dveh inačicah, ki ju je podal Aleksander Afrodizijski. V prvi, ki je tradicionalno pripisana Aristotelu pod imenom O idejah in jo najdemo v Aleksandrovem komentarju k Metafiziki, in nato še (...) v Evdemovi inačici, kakršno domnevno ta navaja pri svoji aristotelski kritiki Platonove teorije idej. V drugem delu prispevka je narejena primerjava med Aristotelovima inačicama tretjega človeka in Platonovim pripoznanjem neskončnega regresa v obeh verzijah iz njegovega Parmenida: regres iz ideje velikega in regres iz idej kot vzorov, ki prav tako končujeta v neskončnem regresu novih idej: te po svojem bistvu ne bodo več ene, ampak brezmejno mnoge. (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)

In philosophy of science, there have been two different starting points for epistemology: Platonism and Aristotelianism. These two alternative starting points have played a major role also in the formation of fundamental ideas of engineering and management generally as well as in relation to construction. It is contended that an overly Platonic influence on engineering and management has created a number of problems. For solving these problems, beyond mere patching, a more balanced take on Platonism and Aristotelianism is needed.

The contemporary cultural mindset posits that the world has no intrinsic semantic value. The meaning we see in it is supposedly projected onto the world by ourselves. Underpinning this view is the mainstream physicalist ontology, according to which mind is an emergent property or epiphenomenon of brains. As such, since the world beyond brains isn’t mental, it cannot a priori evoke anything beyond itself. But a consistent series of recent experimental results suggests strongly that the world may in fact be (...) mental in nature, a hypothesis openly discussed in the field of foundations of physics. In this essay, these experimental results are reviewed and their hermeneutic implications discussed. If the world is mental, it points to something beyond its face-value appearances and is amenable to interpretation, just as ordinary dreams. In this case, the project of a Hermeneutic of Everything is metaphysically justifiable. (shrink)