This largely expository lecture deals with aspects of traditional solid geometry suitable for applications in logic courses. Polygons are plane or two-dimensional; the simplest are triangles. Polyhedra [or polyhedrons] are solid or three-dimensional; the simplest are tetrahedra [or triangular pyramids, made of four triangles]. -/- A regular polygon has equal sides and equal angles. A polyhedron having congruent faces and congruent [polyhedral] angles is not called regular, as some might expect; rather they are said to be subregular—a word coined for (...) this lecture. To repeat, a subregular polyhedron has congruent faces and congruent [polyhedral] angles. A subregular polyhedron whose faces are all regular polygons is regular—using standard terminology. -/- Geometers before Euclid showed that there are “essentially” only five regular polyhedra: every regular polyhedron is a tetrahedron (4 faces), a hexahedron or cube (6 faces), an octahedron (8 faces), a dodecahedron (12 faces), or an icosahedron (20 faces). -/- The first question is whether there are subregular polyhedra that are not regular. For example, are there tetrahedra having congruent angles and congruent triangular faces but whose faces are not equilateral triangles? -/- Another question is the classification of subregular polyhedra if they exist. For example, considering the fact that the regular tetrahedra all have equilateral triangles as faces, we ask which triangles other than equilaterals are faces of subregular tetrahedra. Similarly, considering the fact that the regular hexahedra all have squares as faces, we ask which quadrangles other than squares are faces of subregular hexahedra. -/- After introductory remarks that include historical and philosophical points, we concentrate on tetrahedra. A triangle that is congruent to each of the four faces of a tetrahedron is called a generator of the tetrahedron. The main result proved is that every acute triangle is a generator of a subregular tetrahedron. The proof includes an algorithm –implementable with scissors and paper –that constructs from any given acute triangle a subregular tetrahedron whose faces are congruent to the given triangle. -/- Algorithm: Given any acute triangle. Construct a similar triangle whose sides are double the sides of the given triangle. Draw the three lines connecting the three midpoints of the sides (making four triangles congruent to the given triangle—a central triangle surrounded by three peripheral triangles). Make three “hinges” along the lines connecting the midpoints. “Fold” the peripheral triangles together (into a tetrahedron). [LIGHTLY EDITED VERSION OF PRINTED ABSTRACT] Acknowledgements: William Lawvere, Colin McLarty, Irvin Miller, Frango Nabrasa, Lawrence Spector, Roberto Torretti, and Richard Vesley. -/- . (shrink)

Resumo: Este artigo visa explorar a questão da educação em Platão a partir da contextualização histórica, pensando o modelo de Atenas, Lesbos e Esparta, e da perspectiva por onde uma má paideía, a baixa qualidade na formação de cidadãos, se torna a principal causa geradora da ruptura social. Foi feita, então, uma reflexão sobre as possibilidades de educação que atenienses de classes sociais distintas teriam e sobre a proposta platônica fundamentada na combinação entre a ginástica e a música, para que (...) se desenvolvesse um perfil de cidadão com ideais coletivos sólidos a ponto de se evitar a stásis. Palavras-chave: Platão, educação, dissensão, stásis, paideía. Abstract:This article aims to explore the question of education in Plato from the historical context, thinking the model of Athens, Lesbos and Sparta, and from the perspective where a bad paideía, the low quality in the formation of citizens, becomes the main generating cause of social disruption. Then, a reflection was made on the educational possibilities that Athenians from different social classes would have and on the Platonic proposal based on the combination of gymnastics and music, so that a citizen profile with solid collective ideals would be developed to the point of avoiding stásis. Keywords: Plato, education, dissension, stásis, paideía. (shrink)

The aim of this article is to explore Gadamer’s early reflections on Plato’s utopian thought and its potential topicality. In the following section, I will show how areté, understood as a hermeneutical and existential virtue, is dialectically related to ethics and politics in Gadamer’s phenomenological reception of Plato’s philosophy. I argue that, in Gadamer’s eyes, Socratic-Platonic self-understanding enables human beings to be aware of their political responsibilities, to recognize how they are existentially and mutually related to the other, and (...) to clarify dialectically their own existential possibilities in order to transcend their inherited world of values. In the third section, I aim to show how these are the grounds on which Gadamer’s initial thoughts on the utopian dimension of Platonic political philosophy developed, mainly through his further critical account of the works on the German “political Plato” published in Germany between 1927 and 1933, i.e., Kurt Singer’s Platon, der Gründer (1927), Julius Stenzel’s Platon. Der Erzieher (1928), and Kurt von Hildendrandt‘s Platon, Der Kampf des Geistes um die Macht (1933). Then, in the fourth section, I will express my own views on the relevance of reconsidering how the notions of areté, phrónesis, and andreía are already related in Plato’s dialogues, complementing the insights on Gadamer’s interpretation of areté in section two. My purpose is to go beyond Gadamer’s reading and provide us with a more solid ground to address his late reflections on political courage and its relations with his dialectical understanding of Platonic utopia as a myth. Therefore, I will explore the problem of civil disobedience, a topic that was actually not at the centre of Gadamer’s concerns, as a genuine mode of utopian political action which can enact a true deviation from the sophistic pólis and its understanding of power. Finally, in the conclusion, I will characterize Gadamer’s portrait of Platonic utopia as a dialectical myth which enables human beings to recognize when politics are being reduced to mere power abuse by the State and also suggest why Gadamer’s approach to utopias is still relevant today. (shrink)

This article aims to explore the question of education in Plato from the historical context, thinking the model of Athens, Lesbos and Sparta, and from the perspective where a bad paideía, the low quality in the formation of citizens, becomes the main cause generating social disruption. Then, a reflection was made on the educational possibilities that Athenians from different social classes would have and on the Platonic proposal based on the combination of gymnastics and music, so that a citizen (...) profile with solid collective ideals would be developed to the point of avoiding stásis. DRAFT TRANSLATION!!! Original pagination will be indicated in brackets, e.g. [p. 104]. Portuguese published version: Carvalhar, C. (2020). A má educação como a principal causa da ruptura social. Revista Enunciação, 5(1), p. 102-117. (shrink)

In this chapter, I make the case for platonic realism, the thesis that there are properties that lack spatial locations. After criticizing the one-over-many argument for realism and Lewis's argument for realism, I endorse a modal argument that derives the existence of platonic properties from considerations involving necessary truth. I then defend this argument from various objections. Finally, I argue that epistemic considerations and considerations of parsimony favor a weak form of platonic realism on which there are (...) platonic properties, but each property could have had an instance, and would have been located in its instances if it had any. (shrink)

The Handmaid’s Tale depicts a United States taken over by a fundamentalist dictatorship called Gilead that also resembles Plato’s ideal city. Attempts to explain Gilead’s debt to Plato face two challenges. First, aspects of Gilead that recall Plato also contain features that differ, at times dramatically, from the Platonic original. Second, Gilead invokes distorted versions of ideas from philosophies other than Plato’s. I explore two ways of making sense of Gilead’s distorted philosophical appropriations. The explanations differ over whether such (...) distortions are best explained by the nature of the philosophies they misrepresent, or by the nature of Gilead. The explanation that emphasizes Gilead’s own agency is ultimately best able to make sense of how illiberal regimes misappropriate philosophical concepts, both in the novel and in reality, in order to limit the political imagination of their subjects. (shrink)

Die Beschäftigung mit Platon hat eine lange Geschichte, Rezeptionen seines Denkens sind so prägend für die Philosophiegeschichte geworden, dass diese verständlicherweise zuweilen als eine Sammlung von Fußnoten zu seinem Werk begriffen wurde. Das gilt besonders für einen durchgängigen metaphysischen Zug des abendländischen Denkens, ein grundsätzliches Ordnungsmodell aus der Antike, das, christlich gewendet, die Theoriebildung bis in unsere Tage fundiert. Aber mit einer Reihe anderer Gewissheiten ist auch dieser erfolgreiche Platonismus Gegenstand der Kritik geworden. Kann und soll man den metaphysischen Platon (...) retten oder muss man Platon vielmehr gegen die metaphysische Tradition neu verstehen? Muss man Platon gegen die Platonisten verteidigen, ist er der Anfang einer philosophischen Verirrung? -- Dorothea Frede, Ekkehard Martens, Arbogast Schmitt, Gernot Böhme, Hermann Schmitz, Wolfgang Detel und andere entdecken – auch durch ihre Kritik – Platon als Gesprächspartner der Gegenwart neu. (shrink)

Robert Adams defends a platonic account of goodness, understood as excellence, claiming that there exists a platonic good that all other good things must resemble, identifying the Good with God. Mark Murphy agrees, but argues that this platonic account is in need of Aristotelian supplementation, as resemblance must take into account a thing’s kind-membership. While this article will accept something like Murphy’s account of goodness, it will further develop its details and support. Without relying on theistic premises, (...) I show that the metaphysical status of an individual’s goodness consists in resemblance with the platonic good. As for the distinct question of what that goodness holds in virtue of, I conclude it holds in virtue of exactly: the thing’s own properties, those properties being such as to satisfy its kind-based standards, and those K-standards resembling the platonic good. I then develop an account of how K-standards resemble the platonic good: The K-standards resemble it firstly with respect to requiring activities, as the platonic good will be posited to be active, and must resemble it secondly also at the level of what teleology those activities are directed towards. I also motivate the need for a third respect of resemblance, to be developed in future work. The article ends with a discussion of the nature of the platonic good. (shrink)

In the Principles of Philosophy, Descartes attempts to explicate the well-known phenomena of varying bodily size through an appeal to the concept of "solidity," a notion that roughly corresponds to our present-day concept of density. Descartes' interest in these issues can be partially traced to the need to define clearly the role of matter in his natural laws, a problem particularly acute for the application of his conservation principle. Specifically, since Descartes insists that a body's "quantity of motion," defined as (...) the product of its "size" and speed, is conserved in all material interactions, it is imperative that he explain how solidity influences the magnitude of this force. As a means of resolving this problem, Descartes postulated an idealized condition of "perfect solidity" which correlates a body's "agitation" force (a forerunner of Newton's concept of non-accelerating, or "inertial" motion) with the interplay of its volume, surface area, and composition of minute particles. This essay explores this often misunderstood aspect of Descartes' physics, as well as the special function of idealized conditions in his collision rules. Contrary to those commentators who regard "perfect solidity" as a stipulation on bodily impact, this notion, it will be argued, is primarily concerned with the internal composition of macroscopic bodies, and only indirectly with their collision characteristics. Along the way, many of Descartes' hypotheses will be shown to display a level of sophistication and intricacy that, despite their essential incompatibility, belie several of the common misconceptions of Cartesian science. (shrink)

The main aim of this essay is to show that, for Stevens, the concept of reality is very fluctuating. The essay begins with addressing the relationship between poetry and philosophy. I argue, contra Critchley, that Stevens’ poetic work can elucidate, or at least help us to understand better, the ideas of philosophers that are usually considered obscure. The main “obscure” philosophical work introduced in and discussed throughout the essay is Schelling’s System of Transcendental Idealism. Both a (shellingian) philosopher and a (...) (stevensian) poet search for reality. In order to understand Stevens’ poetry better, I distingush several concepts of reality: initial reality (the external world of the common sense), imagined reality (a fiction, a product of one’s mind), final reality (the object of a philosopher’s and a poet’s search) and total reality (the sum of all realities, Being). These determinations are fixed by reason (in the present essay), whereas in Stevens’ poetic works, they are made fluid by the imagination. This fluidity leads the concept of reality from its initial stage through the imagined stage to its final stage. Throughout this process, imagined reality must be distinguished from both a mere fancy and its products. Final reality is, however, nothing transcendent. It is rather a general transpersonal order of reality created by poetry/the imagination. The main peculiarity of final reality is that it is a dynamic order. It is provisional at each moment. Stevens (and Schelling too) characterizes this order as that of a work of art which is a finite object, but has an infinite meaning. Stevens calls this order “the central poem” or the “endlessly elaborating poem”. If ultimate reality is a poem created by the imagination, one may ask who is the imagining subject. I argue that this agent is best to be thought as total reality, that is, as Being. Stevens, however, maintains that if there were such an agency, it would be an inhuman agency, “an inhuman meditation”. The essay concludes, in a Derridian manner, with the claim that this agency cannot have any name; it is the “unnamed creator of an unknown sphere, / Unknown as yet, unknowable, / Uncertain certainty” (OP: 127). It is best thought as an X, as an unknown variable. Being has no name. (shrink)

Some scientific explanations appear to turn on pure mathematical claims. The enhanced indispensability argument appeals to these ‘mathematical explanations’ in support of mathematical platonism. I argue that the success of this argument rests on the claim that mathematical explanations locate pure mathematical facts on which their physical explananda depend, and that any account of mathematical explanation that supports this claim fails to provide an adequate understanding of mathematical explanation.

The scope of Platonism is extended by introducing the concept of a “Platonic computer” which is incorporated in metacomputics. The theoretical framework of metacomputics postulates that a Platonic computer exists in the realm of Forms and is made by, of, with, and from metaconsciousness. Metaconsciousness is defined as the “power to conceive, to perceive, and to be self-aware” and is the formless, con-tentless infinite potentiality. Metacomputics models how metaconsciousness generates the perceived actualities including abstract entities and physical and (...) nonphysical realities. It is postulated that this is achieved via digital computation using the Platonic computer. The introduction of a Platonic computer into the realm of Forms thus bridges the “inverse explanatory gap” and therefore solves the “inverse hard problem of consciousness” in the philosophy of mind. (shrink)

Following the structuring hints given by Plato in his Timaeus you find, that the dialogue – actually Timaeus' lecture – falls in two parts, not in three as Cornford, Brisson and others suggest. The main division follows the two invocations of the gods (27c, 48d). The first part presents the world in its noetic form, poetically described as the work of the demiurg. Timaeus opens this part giving first his premises in the form of an introduction, which lead his presentation. (...) At the end of this part he remarks that the given premises are not enough for his aim, to explain the nature of man. Therefore he adds other guiding principles for the second part in form of a second introduction like in the first part. We need a third principle beside the real beings (the ideas) and the things we perceive. He names it chora and the new form of "`causation"' ananke, necessity. These supplementary principles anable Timaeus to describe the world under our everyday conditions, they mediate the noetic world with the world of our senses. Here is the point we can see a surprising parallel in Kant's work. The Metaphysische Anfangsgründe der Naturwissenschaft correspond to the first part of the Timaeus, because here Kant exposes too the metyphysical foundation of the sciences. Later, in his last years he remarks, that there is a gap between these metaphysical principles and the physics (say of Newton or other). He seeks for a mediating principle and finds it in the "Äther" or "Wärmestoff." Kant was no more able to bring his idea to an end, we only have a lot of variating attempts, named by editors Opus postumum. But the aim of them is clear – and near by the aim that Plato aimed at – to mediate the noetic structure of the world with our everyday world. And this is evidently equivalent with the second introduction in the Timaeus. -/- Here some pages of the book-version: Erwin Sonderegger, Zur Funktion der Chora in Platons Timaios und des Äthers in Kants Übergangsschrift, Königshausen & Neumann, Würzburg 2015. ISBN 978-3-8260-5837-0. Für allfällige Zitierungen bitte ich nur die gedruckte Ausgabe zu verwenden. Danke. (shrink)

This paper provides a rational reconstruction of a Platonic trope bundle theory that is a live alternative to contemporary bundle theories. According to the theory, Platonic particulars are composed of what Plato calls images of Forms; contemporary metaphysicians call these tropes. Tropes are dependent on Forms and the Receptacle, while trope bundles are structured by natural kinds using the Phaedo's principles of inclusion and exclusion and the Timaeus’ geometrised elements, as well as by co-location in the Receptacle. Key (...) elements of discussion include persistence and abundance of Plato's tropes. The resulting theory is compared with contemporary trope bundle theories. (shrink)

David Armstrong accepted the following three theses: universals are immanent, laws are relations between universals, and laws govern. Taken together, they form an attractive position, for they promise to explain regularities in nature—one of the most important desiderata for a theory of laws and properties—while remaining compatible with naturalism. However, I argue that the three theses are incompatible. The basic idea is that each thesis makes an explanatory claim, but the three claims can be shown to run in a problematic (...) circle. I then consider which thesis we ought to reject and suggest some general lessons for the metaphysics of laws. (shrink)

Reflections on the linkage between and the provocative force of problems in the analogy of city and soul, in the simile-bound characterization of the Good, and in the performative tension between what Plato has Socrates say about the philosopher's disinclination to descend into the city and what he has Socrates do in descending into the Piraeus to teach, with a closing recognition of the analogy between Socratic teaching and Platonic writing.

The objective of this work is to investigate the philosophical anthropology that underpins the anthropology of the Early Christians. It is curious to know why Christian anthropology is intellectually and practically inclined towards the philosophical anthropology of the Platonic tradition rather than the theological-philosophical tradition of the biblical Hebrew people in the Old Testament. Today the emphasis on Christian anthropology is that the human person is an integration of body and soul. Contrary to this position, the writer maintains that (...) the Christian anthropology, especially during the period of the early Christians (here understood as the period within the first five centuries C.E.), fundamentally conceives the human person as a composite of soul and body, which is a conscious employment of Platonic anthropology. This article observes that, as regards the doctrine of the resurrection of the dead, there is a dichotomy between theological coherency and the actual Christian practice on the Christian conception of the human person. Hence, this work argues that the Platonic influence on the philosophical anthropology of the Early Christian was a deliberate act to give a more rational foundation to the theological problematic on the resurrection of the dead and on the resurrected body. It explains why Aquinas’s theological cum philosophical thinking, though overwhelmingly an Aristotelian ground, could not “Aristotelize” his philosophical anthropology. (shrink)

I argue that in the Phaedo, Plato maintains that the soul is located in space and is capable of locomotion and of interacting with the body through contact. Numerous interpreters have dismissed these claims as merely metaphorical, since they assume that as an incorporeal substance, the soul cannot possess spatial attributes. But careful examination of how Plato conceives of the body throughout his corpus reveals that he does not distinguish it from the soul in terms of spatiality. Furthermore, assigning spatial (...) attributes to the soul plays an important role in Plato’s account of the relation of body and soul. (shrink)

In this note I examine the two main differences between Plato's and Dennett's views of the self as an abstract object. I point out that in the presence of certain forms of ontological realism, abstract-object theories of the self are compatible with the full reality of the self. I conclude with some remarks on the relationship between ontology and ethics.

Psiche sets up a close-knit comparison between the psychology of Plato's Republic and Freud's psychoanalysis. Convergences and divergences are discussed in relation both to the Platonic conception of the oneiric emergence of repressed desires that prefigures the main path of Freud's subconscious, to the analysis of the psychopathologies related to these theoretical formulations and to the two diagnostic and therapeutic approaches adopted. Another crucial theme is the Platonic eros - the examination of which is also extended to the (...) Symposium and Phaedrus - taken up explicitly by Freud in relation to the concept of libido. Finally, the author also addresses the two themes - of, inter alia, a metapsychological nature - inherent to the moral dimension. -/- Psiche istituisce un confronto ravvicinato tra la psicologia della "Repubblica" di Platone e la psicoanalisi di Freud. Convergenze e divergenze vengono discusse in relazione sia alla concezione platonica dell'emersione onirica dei desideri repressi, che prefigura la via regia per l'inconscio di Freud, sia all'analisi delle psicopatologie correlate a tali impostazioni teoriche, sia ai due approcci diagnostici e terapeutici adottati. Altro tema cruciale è l'eros platonico - la cui disamina viene estesa anche al "Simposio" e al "Fedro" - ripreso esplicitamente da Freud in relazione al concetto di libido. L'autore affronta, infine, le due tematizzazioni, di natura metapsicologica e non solo, inerenti alla dimensione morale. (shrink)

Abstract Platon, Phaidros 249bc A philological check of the grammar of this passage shows its philosophical impact. To be able to understand the many as unity, thanks to the ideas, is the specifity of us human beings.

Le modèle éducatif de Platon (paidèia) différencie le niveau d'éducation selon les compétences des élèves. Ainsi, une éducation de base comprend, outre la gymnastique et le combat (l'exercice du corps), la musique (l'exercice de l'esprit), sans être imposée par la force car un homme libre doit être libre dans la conquête du savoir. Si l'élève a des compétences, il est éduqué en mathématiques pour devenir stratège, et en astronomie pour élever l'âme. Parmi ceux-ci, les meilleurs sont sélectionnés pour devenir de (...) bons leaders, étudiant la philosophie et la dialectique. Les femmes auront les mêmes droits et devoirs que les hommes. Selon les principes socratiques, pour faire justice, il faut savoir ce qui est bien, et c'est ce que le philosophe sait le mieux. Platon a détaillé ce concept en soulignant la distinction entre le philosophe (qui cherche les principes de vérité sans prétendre les posséder) et le sophiste (qui se laisse guider par l'opinion comme seul paramètre valable de la connaissance). Platon considère les philosophes comme des leaders idéaux pour deux raisons principales : parce qu'ils savent ce qui est juste et parce qu'ils ne veulent pas diriger. -/- DOI: 10.13140/RG.2.2.14844.82564. (shrink)

La principale source biographique sur Platon, selon le témoignage du néoplatonicien Simplicius, a été écrite par le disciple Xénocrate, mais malheureusement elle ne nous est pas parvenue. La première biographie de Platon à ce jour, De Platone et dogmate eius, est d'un auteur latin du IIe siècle, Apulée. Toutes les autres biographies de Platon ont été écrites plus de cinq cents ans après sa mort. L'historien grec Diogène (IIe et IIIe siècles) est l'auteur d'une série de biographies de philosophes grecs (...) (Les vies des philosophes) dans lesquelles il se réfère à la vie de Platon. Il a également écrit une louange funèbre pour Platon. D'autres premiers biographes de Platon sont Olympiodore le Jeune au VIe siècle et une source anonyme. Une source importante sur la vie de Platon est ses dialogues philosophiques, ses treize lettres (peut-être fausses, à l'exception peut-être des Lettres VII et VIII), les écrits d'Aristote, un extrait de l'épicurien Philodème dede Gadara, l'Histoire des philosophes (Syntaxis ton philosophon), Ier siècle av. J.-C., les écrits anonymes de Prolégomène sur la philosophie platonicienne traditionnellement attribués à Olympiodore, Suda, Xe siècle, et La vie de Dio de Plutarque, Ier-IIe siècle. -/- DOI: 10.13140/RG.2.2.18219.92969 . (shrink)

this paper offers a new interpretation of Phaedo 96a–103a. Plato has devoted the dialogue up to this point to a series of arguments for the claim that the soul is immortal. However, one of the characters, Cebes, insists that so far nothing more has been established than that the soul is durable, divine, and in existence before the incarnation of birth. What is needed is something more ambitious: a proof that the soul is not such as to pass out of (...) existence. According to Socrates’s initial response to Cebes at 95e8–96a1, giving such a demonstration requires a thorough investigation into “the reason for coming to be and passing away in general” (ὅλως γὰρ δεῖ περὶ γενέσεως καὶ φθορᾶς τὴν αἰτίαν διαπραγματεύσασθαι 95e9–96a1). This leads Socrates to the passage with which this paper is concerned. He mentions several changes of different sorts and nominates some purported “causes” that he and other theorists used to accept, but which he now finds scarcely intelligible. He then expounds his own mature view that the Forms are causes. The existing literature on this passage is vast and highly sophisticated, so much so that one might reasonably despair of saying something new at this stage. Nevertheless, I think some of Socrates’s remarks on philosophical methodology in our passage have not yet been appreciated as deeply as they should be. In particular, there has been little work showing how well-integrated they are with his positive proposals about causes. I also think that there are metaphysical models available to modern philosophers, not merely coherent with but actually suggested by Socrates’s methodology, which give a more satisfactory picture of those positive proposals than others available in the contemporary literature. That, at any rate, is what this paper aims to provide. (shrink)

Aristotle's syllogistic theory, as developed in his Prior Analytics, is often regarded as the birth of logic in Western philosophy. Over the past century, scholars have tried to identify important precursors to this theory. I argue that Platonic division, a method which aims to give accounts of essences of natural kinds by progressively narrowing down from a genus, influenced Aristotle's logical theory in a number of crucial respects. To see exactly how, I analyze the method of division as it (...) was originally conceived by Plato and received by Aristotle. I argue that, while Plato allowed that some divisions fail to rigorously investigate the essence, he began a program continued by Aristotle (and others in antiquity and the middle ages) of seeking norms for division that would apply in any domain whatsoever. This idea of a rigorous, general method was taken up and developed by Aristotle in his syllogistic. Aristotle also used Plato's conception of predication as parthood in his semantics for syllogistic propositions. As part of my argument, I prove that a semantics based on Platonic divisional structures is sound and complete for the deduction system used in the literature to model Aristotle's syllogistic. (shrink)

Edward Feser defends the ‘Neo-Platonic proof ’ for the existence of the God of classical theism. After articulating the argument and a number of preliminaries, I first argue that premise three of Feser’s argument—the causal principle that every composite object requires a sustaining efficient cause to combine its parts—is both unjustified and dialectically ill-situated. I then argue that the Neo-Platonic proof fails to deliver the mindedness of the absolutely simple being and instead militates against its mindedness. Finally, I (...) uncover two tensions between Trinitarianism and the Neo-Platonic proof. (shrink)

The aim of this paper is to provide some acquaintance with the exegetical history of ἐξαίφνης inside the Platonic Tradition, from Plato to Marsilio Ficino, by way of Middle Platonism and Greek Neoplatonism. (Since this is only a draft, several modifications should be made later, notably in order to improve the English.) Some part has been presented in Los Angeles: “Damascius’ Theodicy: Psychic Input of Disorder and Evil into the World”, 16th Annual ISNS (International Society for Neoplatonic Studies) Conference, (...) Loyola Marymount University, 14th June 2018. (shrink)

Since 1976, when Thomas A. Szlezák held his inaugural lecture as a private lecturer at the University of Zurich entitled "The Dialogue Form and Esotericism: On the Interpretation of the Platonic Dialogue the Phaedrus", the now-emeritus professor at Tübingen has advocated a particular interpretation of the Platonic dialogues and especially of the Phaedrus: namely, that what is referred to in the latter dialogue—without further explanation—as "more valuable" than what is set down in writing corresponds to Plato's "so called (...) unwritten doctrines", or for Szlezák, "unwritten... (shrink)

Modelul educațional al lui Platon (paidèia) diferențiază nivelul educației în funcție de aptitudinile elevilor. Astfel, o educație de bază include, pe lângă gimnastică și luptă (exercițiul corpului), și muzica (exercițiul spiritului), fără a fi impusă cu forța „deoarece un om liber trebuie să fie și liber în cucerirea cunoașterii”. Dacă elevul are aptitudini, este educat în matematică pentru a deveni strateg, și în astronomie pentru înălțarea sufletului. Dintre aceștia se selectează cei mai buni pentru a deveni buni conducători, studiind filosofia (...) și dialectica. Femeile vor avea aceleași drepturi și îndatoriri ca și bărbații. Conform principiilor socratice, pentru a face dreptate trebuie să se știe ce este bine, iar aceasta o știe cel mai bine filosoful. Platon a detaliat acest concept, evidențiind distincția dintre filosof (care caută principiile adevărului fără a pretinde că îl posedă) și sofist (care se lasă ghidat de opinie ca singurul parametru valid al cunoașterii). Platon consideră filozofii ca fiind conducătorii ideali din două motive principale: pentru că ei știu ce este bine, și pentru că nu vor să conducă. -/- DOI: 10.13140/RG.2.2.23824.89604. (shrink)

In Plato's Euthydemus, Socrates claims that the possession of epistēmē suffices for practical success. Several recent treatments suggest that we may make sense of this claim and render it plausible by drawing a distinction between so-called “outcome-success” and “internal-success” and supposing that epistēmē only guarantees internal-success. In this paper, I raise several objections to such treatments and suggest that the relevant cognitive state should be construed along less than purely intellectual lines: as a cognitive state constituted at least in part (...) by ability. I argue that we may better explain Socrates' claims that epistēmē suffices for successful action by attending to the nature of abilities, what it is that we attempt to do when acting, and what successful action amounts to in the relevant contexts. These considerations suggest that, contrary to several recent treatments, the success in question is not always internal-success. (shrink)

Principala sursă biografică despre Platon, după mărturia neoplatonicului Simplicius, ar fi fost scrisă de discipolul Xenocrate, dar din păcate nu a ajuns la noi. Cea mai veche biografie a lui Platon care a ajuns până la noi, De Platone et dogmate eius, este a unui autor latin din secolul al II-lea, Apuleius. Toate celelalte biografii ale lui Platon au fost scrise la peste cinci sute de ani de la moartea sa. Istoricul grec Diogene (secolele II și III) este autorul unei (...) serii de biografii ale filosofilor greci (Viețile filosofilor) în care face referire la viața lui Platon. Acesta ar fi scris și un elogiu funerar lui Platon. Alți biografi timpurii ai lui Platon sunt Olimpiodor cel Tânăr în secolul al VI-lea și o sursă anonimă. O sursă importantă despre viața lui Platon sunt chiar dialogurile sale filozofice, treisprezece scrisori (posibil false totuși, cu excepția poate a Scrisorilor VII și VIII), scrierile lui Aristotel, un fragment din Istoria filozofilor (Syntaxis ton philosophon) a epicureanului Philodemus de Gadara din secolul I î.e.n., scrierile anonime Prolegomena despre filozofia platonică atribuite în mod tradițional lui Olimpiodor, Suda, secolul al X-lea și Viața lui Dio a lui Plutarh, secolul I-II. -/- DOI: 10.58679/CS86928. (shrink)

From the second half of the 16th century the question about Platonis Aristotelisque Concordia is no more a merely doctrinal problem, but it involves a discussion about methodus and ordo, according to the importance given to them in the coeval philosophical debate. In many cases underscoring Plato’s scientific merits, not only about inventio but also about the transmission of knowledge, meant promoting Platonism as a philosophy suitable for University. In this context the need for Platonic handbooks is perceived as (...) compelling, due to the recognised didactic superiority of Aristotle’s writings. The Compendio and the Vere Conclusioni are the specific contribution of Francesco Verino secondo, who gave holiday lectures on Plato at the Florentine Studium from 1576 to 1579. The present study focuses on the platonism of Francesco Verino, covering nearly all his works, printed and manuscript, in a constant comparison with his noble predecessors Marsilio Ficino, Giovanni Pico della Mirandola and Francesco Cattani da Diacceto. In order to give light to Verino’s lectureship, particular attention is paid to glosses in his working and teaching copy of Platonis Opera. (shrink)

As a way of arguing that Platonic characters' individual roles within familial, social, and religious structures could deepen our understanding of some philosophical issues--human nature, epistemology, justice and education in the polis, virtue--I present information about the characters Meno of Thessaly, Theaetetus of Sunium, Diotima of Mantinea, Phaenarete (wife of Sophroniscus and Chaeredemus), and [unnamed] of Athens (wife of Pericles and Hipponicus).

Platon s'est inspir? des travaux philosophiques de certains de ses pr?d?cesseurs, en particulier Socrate, mais aussi Parm?nide, H?raclite et Pythagore, pour d?velopper sa propre philosophie, qui explore les domaines les plus importants, notamment la m?taphysique, l'?thique, l'esth?tique et la politique. Avec son professeur Socrate et son ?l?ve Aristote, il pose les bases de la pens?e philosophique occidentale. Platon est consid?r? comme l'un des philosophes les plus importants et les plus influents de l'histoire humaine, ?tant l'un des fondateurs de la religion (...) et de la spiritualit? occidentales. La philosophie qu'il a d?velopp?e, connue sous le nom de platonisme, est bas?e sur la th?orie des Formes connues par la raison pure comme une solution au probl?me des universaux. La philosophie de Platon s'inscrit dans la lign?e des pr?socratiques, des sophistes et des traditions artistiques qui sous-tendent l'?ducation grecque, dans un cadre nouveau, d?fini par la dialectique et la th?orie des Id?es. Pour Platon, la connaissance est une activit? de l'?me, affect?e par des objets sensibles, et par des processus internes. Dans La R?publique de Platon, la forme la plus ?lev?e est consid?r?e comme la Forme du Bien, la source de toutes les autres Formes qui pourraient ?tre connues par la raison. Le th?me central du livre est la justice, argument?e ? l'aide de plusieurs th?ories platoniciennes, dont le mythe all?gorique de la caverne, la doctrine des Id?es, la dialectique, la th?orie de l'?me et la conception d'une cit? id?ale. Sa dialectique est un type de connaissance, ? r?le ontologique et m?taphysique, qui s'atteint par la confrontation de plusieurs positions pour d?passer l'opinion (doxa), un passage du monde des apparences (ou ? sensible ?) ? la connaissance intellectuelle (ou ? intelligible ? ) aux premiers principes. Le mod?le ?ducatif de Platon (paid?ia) diff?rencie le niveau d'?ducation selon les comp?tences des ?l?ves. Selon les principes socratiques, pour faire justice, il faut savoir ce qui est bien, et c'est ce que le philosophe sait le mieux. Platon a d?taill? ce concept en soulignant la distinction entre le philosophe (qui cherche les principes de v?rit? sans pr?tendre les poss?der) et le sophiste (qui se laisse guider par l'opinion comme seul param?tre valable de la connaissance). (shrink)

Platon s-a inspirat din activitatea filosofică a unora dintre predecesorii săi, în special a lui Socrate, dar și Parmenide, Heraclit și Pitagora, pentru a-și dezvolta propria filosofie, care explorează majoritatea domeniilor importante, inclusiv metafizica, etica, estetica și politica.Împreună cu profesorul său Socrate și elevul său Aristotel, a pus bazele gândirii filosofice occidentale. Platon este considerat ca unul dintre cei mai importanți și influenți filosofi din istoria omenirii, fiind unul dintre fondatorii religiei și spiritualității occidentale. Filosofia dezvoltată de el, cunoscută sub (...) numele de platonism, se bazează pe teoria Formelor cunoscută prin rațiune pură ca soluție la problema universalelor. Filosofia lui Platon se înscrie pe linia presocraticilor, a sofiștilor și a tradițiilor artistice care stau la baza educației grecești, într-un cadru nou, definit de dialectică și teoria ideilor. Cunoașterea este pentru Platon o activitate a sufletului, afectată de obiectele sensibile, și de procesele interne. În Republica, forma cea mai înaltă este considerată ca fiind Forma Binelui, sursa tuturor celorlalte Forme care ar putea fi cunoscute prin rațiune. Tema centrală a cărții este dreptatea, argumentată cu ajutorul mai multor teorii platonice, inclusiv mitul alegoric al peșterii, doctrina ideilor, dialectica, teoria sufletului și proiectul unui oraș ideal. Dialectica lui este un tip de cunoaștere, cu rol rol ontologic și metafizic, la care se ajunge prin confruntarea mai multor poziții pentru a depăși opinia (doxa), o deplasare din lumea aparențelor (sau a „sensibilului”) către cunoașterea intelectuală (sau „inteligibilul”) până la primele principii. Modelul educațional al lui Platon (paidèia) diferențiază nivelul educației în funcție de aptitudinile elevilor. Conform principiilor socratice, pentru a face dreptate trebuie să se știe ce este bine, iar aceasta o știe cel mai bine filosoful. Platon a detaliat acest concept, evidențiind distincția dintre filosof (care caută principiile adevărului fără a pretinde că îl posedă) și sofist (care se lasă ghidat de opinie ca singurul parametru valid al cunoașterii). -/- CUPRINS -/- Platon - Biografie - Călătoriile lui Platon - Socrate - Academia - Lucrările lui Platon - - Clasificări ale lucrărilor - - - Cronologic - - - Tetralogii - - - Trilogii - - - Grupări lexicale Filosofia lui Platon - Sufletul - Funcția mitului - Idei - Teoria formelor - Ontologia - Epistemologia - Etica - Politica - Statul filosofic - Arta - Doctrinele nescrise: Unu și Diada Republica - Personaje - Conținut - Temele Republicii - - Justiția și dreptatea (Cartea I) - - Statul ideal (Cărțile II-III) - - Analogia oraș-suflet. Armonia părților (Cărțile IV-V) - - Teoria Formelor (Metafora liniei și mitul peșterii) (Cărțile VI-VII) - - Familia și statul (Cărțile VIII-IX) - - Mitul lui Er (Cartea X) Dialectica Educația Filosoful-rege Bibliografie -/- DOI 10.13140/RG.2.2.27534.23361 . (shrink)

Some remarks about commentaries on Plato in the medieval Byzantium.

A two-fold study, on the one hand of the thought-provoking mimesis by which Plato gives his hearer an occasion for self-knowledge and self-transcendence and of the typical sequential structure, an appropriation of the trajectory of the poem of Parmenides, by which Plato orders the drama of inquiry, and on the other hand a commentary on the Crito that aims to show concretely how these elements — mimesis and Parmenidean structure — work together to give the dialogues their exceptional elicitative power.

Plato's 'Symposium': Kierkegaard and Platonic Eros.

The outline and introduction to my dissertation addresses the problem of the crisis between the human and natural sciences and the way in which Plato, by introducing the soul, as mediator between the two, provides us with solutions. The dissertation is divided into three chapters: the cosmos, the state or polis and the individual knower, which are each divided into three topics, the body, the soul and the mind, which represent the material cause, the efficient cause and the formal cause, (...) leaving out the final cause and which in modern terminology translate into: the philosophy of science, political theory or ethics and epistemology or the philosophy of mind. (shrink)

In the chapter of this 2008 book, I show that Scheler innovatively reinterprets the Platonic concept of eros and places it at the basis of his philosophical anthropology.

I argue that Plato distinguishes between personal immortality and immortality of the soul. I begin by criticizing the consensus view that Plato identifies the person and the soul. I then turn to the issue of immortality. By considering passages from 'Symposium' and 'Timaeus', I make the case that Plato thinks that while the soul is immortal by nature, if a person is going to be immortal, they must become so. Finally, I argue that Plato has a psychological continuity approach to (...) personal identity. Thus, for Plato, a person becomes immortal by avoiding reincarnation and securing for themselves psychological continuity forever. (shrink)

In the whole Corpus Platonicum, we find in principle only one "direct argument" (Charles Kahn) for the existence of the ideas (Tim.51d3-51e6). The purpose of the article is to analyse this argument and to answer the question of why Plato in the Timaeus again defended the existence of the ideas despite the objections in the Parmenides. He defended it again because the latent presupposition of the apories in the Parmenides, the substantial view of sensibles, is removed through the introduction of (...) space as "substantialized extension". First (I) it is shown that Plato remained in dialogues, like the Sophist and Politicus, faithful to the "theory of ideas" despite his criticism in the Parmenides. The common theme in the trilogy of the Theaetetus, Sophist and Politicus is to refute relativism by showing that any relativism presupposes something absolute that is something like the "theory of ideas". The second part of the paper (II) examines closely the logical structure of the argument for the existence of ideas in the Timaeus (51d3-52a7). The third part (III) shows how this argument can avoid the criticism of ideas in the Parmenides. In the Parmenides, sensibles are treated as substantial entities. But, as the Timaeus shows, sensibles are not substantial entities but merely qualities, namely qualities of space, which is the only substance in the sensible world. A shortened English version of the paper appeared in Proceedings of the Fourth Symposium Platonicum, Granada, Selected papers, ed. by T. Calvo/L. Brisson, Academia Verlag, St. Augustin, 1997, 179-186. -/- But the only "direct argument" (Tim.51d3-51e6) seems to be interestingly flawed. Cf. Ferber, Rafael; Hiltbrunner, Thomas, (2005). (shrink)

This paper investigates Newton’s ontology of space in order to determine its commitment, if any, to both Cambridge neo-Platonism, which posits an incorporeal basis for space, and substantivalism, which regards space as a form of substance or entity. A non-substantivalist interpretation of Newton’s theory has been famously championed by Howard Stein and Robert DiSalle, among others, while both Stein and the early work of J. E. McGuire have downplayed the influence of Cambridge neo-Platonism on various aspects of Newton’s own spatial (...) hypotheses. Both of these assertions will be shown to be problematic on various grounds, with special emphasis placed on Stein’s influential case for a non-substantivalist reading. Our analysis will strive, nonetheless, to reveal the unique or forward-looking aspects of Newton’s approach, most notably, his critical assessment of substance ontologies, that help to distinguish his theory of space from his neo-Platonic contemporaries and predecessors. (shrink)

Öz -/- Antikçağ’dan modern dönemlere değin kadınların mevcut durumlarının iyileştirilmesine dair çalışmaların sayısının oldukça yetersiz kaldığını söylemek yanlış olmayacaktır. Bu bağlamda siyaset felsefesinin kurucu metinlerinden olan Devlet’in hem yazıldığı dönem hem de takip eden iki milenyuma yakın süre hesaba katıldığında kadınların toplumdaki rolü ve konumu üzerine oldukça radikal ve yenilikçi fikirleri barındırdığı açıktır. Bu çalışmada Platon’un diğer çalışmaları da hesaba katılmakla birlikte özellikle Devlet adlı eseri nezdinde nasıl olup da kimi düşünürlerce hem bir mizojinist hem de bir kadın hakları savunucusu (...) sayıldığı; hem bir kadın düşmanı hem de proto-feminist olarak görülebildiği incelenecek ve Platon bu bağlamda yeniden ele alınacaktır. Anahtar Kelimeler: Platon, Kadın Hakları, Devlet, Feminizm, Mizojini -/- Abstract -/- It is safe to propound that the quantity of studies on the amelioration of the present conditions of women from antiquity through to modern times is quite insufficient. In this context, it seems that the Republic by Plato, which is one of the founding texts of political philosophy, has provided quite radical and innovative ideas about the role and position of women in society, considering into account both its production period and the next two millenniums. This study, based particularly upon his Republic and other works, aims to re-consider how Plato is regarded both as a misogynist and a women's rightist, or both as a woman hater and a proto-feminist by certain scholars. -/- Keywords: Plato, Woman Rights, Republic, Feminism, Misogyny. (shrink)