Turnbull offers a close and detailed reading of the Parmenides, using his interpretation to illuminate Plato's major late dialogues. The picture presented of Plato's later philosophy is plausible, highly interesting, and original.

R.E. Allen's superb new translations of four Socratic dialogues—_Ion_, _Hippias Minor_, _Laches_, and _Protagoras_—bring these classic texts to life for modern readers. Allen introduces and comments on the dialogues in an accessible way, inviting the reader to reexamine the issues continually raised in Plato's works. In his detailed commentary, Allen closely examines the major themes and central arguments of each dialogue, with particular emphasis on _Protagoras_. He clarifies each of Plato's arguments and its refutation; places the themes in (...) historical perspective; ties each theme to interpretations of rival translations; and links the philosopher's thought to trends in late modern philosophy. Topics discussed include: whether virtue is an art, whether wisdom and courage are logically equivalent, whether virtue is knowledge, and whether to know the good is to do it. Allen connects his discussion of these issues to the Benthamite tradition of hedonism and utilitarianism and to the ethical theories of Mill, Sidgwick, Moore, and Freud. (shrink)

The Sophist is one of the late Dialogues of Plato. This dialogue takes place a day after Plato's Theaetetus, and aims at defining the Sophist. The participants are Socrates, who plays a minor role, the highly promising young student Theaetetus, and a Visitor from Elea, who plays the major role in the conversation.

Plato's First Alcibiades was the recognised introduction to the dialogues of Plato in late antiquity, because it addresses the important question of the nature of the self. Only by discovering this can we understand the perspective from which we view the rest of reality. It was also considered as a necessary first step in our pursuit of happiness, for unless we know what we are we cannot know what will bring about our fulfilment - and without the (...) fulfilment of our true nature we cannot be happy. As a key to human understanding and happiness, the dialogue is as important today as it was in antiquity. Approximate Stephanus pagination accompanies the text. Added to this dialogue, in the form of additional notes and an introduction, is much of Proclus' Commentary written on the understanding that "it will be found by those who are deeply skilled in the philosophy of Plato, that each of his dialogues contains that which the universe contains." The Commentary reveals to the thoughtful student the depths of this important dialogue, its universal form, and its living heart - which is the quickening of the soul by the touch of divine vision. Three modern essays, written with the newcomer in mind, accompany the text and commentary: A Survey of the Soul and Socrates as the Symbolic Daemon of the Alcibiades by Tim Addey, and Possibilities of Self by Guy Wyndham-Jones. (shrink)

The Löwenheim-Skolem theorem was published in Skolem's long paper of 1920, with the first section dedicated to the theorem. The second section of the paper contains a proof-theoretical analysis of derivations in lattice theory. The main result, otherwise believed to have been established in the late 1980s, was a polynomial-time decision algorithm for these derivations. Skolem did not develop any notation for the representation of derivations, which makes the proofs of his results hard to follow. Such a formal notation (...) is given here by which these proofs become transparent. A third section of Skolem's paper gives an analysis for derivations in plane projective geometry. To clear a gap in Skolem's result, a new conservativity property is shown for projective geometry, to the effect that a proper use of the axiom that gives the uniqueness of connecting lines and intersection points requires a conclusion with proper cases (logically, a disjunction in a positive part) to be proved. The forgotten parts of Skolem's first paper on the Löwenheim-Skolem theorem are the perhaps earliest combinatorial analyses of formal mathematical proofs, and at least the earliest analyses with profound results. (shrink)

In this paper I re-examine the status of the mind-body relation in several of Plato’s late dialogues. A range of views has been attributed to Plato here. For example, it has been thought that Plato is a substance dualist, for whom the mind can exist independently of the body; or an attribute dualist, who has left behind the strong dualistic commitments of the Phaedo by allowing that the mind may be the subject of spatial movements. But (...) even in cases where a classification of Plato as a holder of a particular ontology of the mind has been left undefined, it has been a shared assumption that in the late dialogues the mind itself must be immaterial. I take issue with these various views and show that none of them is necessitated by the text. In the first place, I argue there is strong evidence against the view that Plato should, in his late period, be committed not only to substance dualism, but also to attribute dualism. Furthermore, it is possible that Plato may have allowed that the mind itself be a three-dimensional corporeal entity (in a way that sets up a precedent for later Stoic developments). But even if this is not the only possible reading of the text, it is shown how at any rate the mind must be seen in late Plato as the principle of organization of a body and ontologically inseparable from it. Despite prima facie affinities with Aristotle here, we shall see a Plato emerge for whom the mind (without exception) and the body cannot exist without one another – a thesis more radical than that of Aristotle’s. To bring out the provocative nature of this suggestion, I start, in section I, by laying out the state of the question and compare what I shall argue is the late Platonic view with standard interpretations of his previous work, stressing the historical force that I expect this thesis to have. Afterwards, in three respective sections, I proceed to pay heed to relevant passages in the Timaeus, Philebus and Laws in order to establish the main point of this paper. Finally, in section V, I consider the challenge apparently introduced against my thesis by Plato’s occasional talk of immortality and eschatology in those dialogues, and argue instead that many of those passages add further strength to the view defended in this essay. (shrink)

Why did Plato put his philosophical arguments into dialogues, rather than presenting them in a plain and readily understandable fashion? A group of distinguished scholars here offer answers to this question by studying the relation between form and argument in his late dialogues. These penetrating studies show that the literary structure of the dialogues is of vital importance in the ongoing interpretation of Plato.

This chapter [of the edited volume, A Companion to Ancient Philosophy] examines the shift in Plato’s account of the eidē or ‘forms’ from the Republic to the Parmenides. Forms in the Republic are characterized in terms of perfection, purity, and changelessness, with the form being an ultimate explanatory principle for being-X. Participants, while being-X, are also capable of not-being-X, either through qualitative change and coming-to-be, or through external changes in perspective or opinion, by which they “appear [φανήσεται]” not-X (R. (...) V.479a7). The form is treated as prior to participant and as prior to mixture with what would deny what it is. It is intrinsically changeless and not subject to changes in appearance. -/- In the Parmenides, the account of form shifts to accommodate the types of admixture demanded for combination with and division from other forms. In the Fifth Hypothesis, forms are subject to determinate “bonds of being and not-being,” which permits the form to present itself as an object of discursive knowing, being-X, -Y, and -Z, and not-being not-X, not-Y, and not-Z. Forms are still treated as pure and perfect, but now with the power of gathering together intelligible bonds of being and not-being. Thus, in the Parmenides, forms are the gathering source and the gathered terms subject to the admixture; they are that by which true speech is explained. In this chapter, I argue that the “turning of the soul from becoming to truth and being” (R. VII.525c) announced in the Republic is partially fulfilled through the account of veridical speech in the Parmenides. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Form and Argument in Late Plato ed. by Christopher Gill and Mary Margaret McCabeFrancisco J. GonzalezChristopher Gill and Mary Margaret McCabe, editors. Form and Argument in Late Plato. Oxford: Oxford University Press, 1996. Pp. xi + 345. Cloth, $65.00.This collection has the commendable aim of challenging the view that in Plato’s “late” works the dialogue form is a mere formality adding little (...) to the argumentative content, a view still widespread among “analytic” scholars. The qualification is necessary because this view has already been seriously challenged by “nonanalytic” interpreters. It is therefore surprising that the editors chose contributors who almost all “share the analytic’ approach which is prominent in Anglo-American scholarship on Plato,” despite their admission that this approach has focused more on arguments than on the dialogue form (2, 299–300). Why seek to reinvent the wheel without the help of those who have already invented it? As a result, while the volume certainly makes an important contribution to our understanding of the form of this group of dialogues, it is much more successful in providing helpful and illuminating readings of their argumentative content: the detailed and rigorous analyses of McCabe, Malcolm Schofield (both on the Parmenides), and Gail Fine (on the Theaetetus) deserve special mention. The aim of the present review, which could not even begin to do justice to what the volume provides in the latter area, is therefore limited to documenting its mixed success in addressing some fundamental questions about form that have already occupied nonanalytic scholars (perhaps too exclusively):1) Does the main speaker speak for Plato?Given the great variety of main speakers in the “late” dialogues (Socrates, Parmenides, the Eleatic Stranger, Timaeus, the Athenian Stranger), each with a distinct personality and a distinct method, no attempt to understand the form of these dialogues should avoid this question. Gill raises it (293–95) and Schofield provides the most explicit response in denying that any interlocutor in a Platonic dialogue “can be assumed to be merely a spokesman for Plato’s own views” (51). More importantly, the essays by Dorothea Frede (on the Philebus) and Catherine Osborne (on the Timaeus), probably the most valuable in the volume, show what results can be achieved without this assumption. On the other hand, Michael Frede (on the Sophist) and Christopher Rowe (on the Politicus; see 158 and cf. 172 n.48) simply assume without argument that the Eleatic Stranger = Plato. All other contributors make the “spokesman” assumption, either implicitly or explicitly (see Christopher Bobonich’s reading of the Laws, 254–55).2) What is the significance of the dramatic context, especially dramatic chronology and characterization?As often noted, the Parmenides is set in Socrates’ youth and is in this sense the earliest [End Page 311] dialogue, while the series Theaetetus-Sophist-Politicus is set immediately before Socrates’ trial and condemnation. McCabe and Schofield are silent about the first fact. M. Frede briefly discusses the second (146–47), but adds little to what has already been said by others. As for the characterization of specific interlocutors, this volume overall has surprisingly little to offer. The essays of D. Frede and Osborne, however, are exemplary in this area.3) Why did Plato choose to write these works as dialogues rather than as treatises?Bobonich, D. Frede, and Osborne succeed in demonstrating the significance and even necessity of the dialogue form, an extraordinary achievement given the dialogues they discuss. Osborne in particular brilliantly shows how the dialogue form undercuts the common tendency to read the Timaeus as a treatise on natural science. Other contributors are less successful in answering this question central to the volume’s task. Schofield takes himself to be reading the Parmenides as a dialogue (51) because he, unlike Vlastos, interprets the Third Man Argument (second version) in the wider context of other arguments in the dialogue, including those of the second half. But “reading arguments in context” is demanded by any philosophical text and has nothing per se to do with the dialogue form. Fine reads the first part of the Theaetetus as the dialectical elaboration and refutation of an opponent’s view (109), but this could just as well be... (shrink)

In this paper I examine G. R. Carone's interpretation of the mind-body problem in late Plato, published in a recent issue of this review. Against Carone's attempt to attribute Plato with a reductionist thesis, whereby the soul can be reduced to the body, I argue that a careful reading of the Timaeus confirms that Plato held a dualist thesis, the soul consisting of an incorporeal substance which cannot be reduced to the corporeal substance the body consists (...) of. (shrink)

Today, texts are the centerpiece of intellectual life, and it is no different in philosophy. Thirty years ago, the subjects of the history of philosophy were the arguments of dead philosophers about perennial problems. Today, greater attention is paid to the texts that such figures wrote—why they wrote them, their genre, form, style, and how we now might read them. In analytic philosophy, this attention to form and its relation to meaning is revolutionary.

Plato’s engagement with rhetoric continues past the early and middle dialogues, like the Gorgias and the Phaedrus, contrary to the views of commentators. And that engagement recognizes a positive value to rhetoric as a necessary tool for leading people to justice. The paper explores rhetoric’s relation to Platonic dialectic through an examination of its role in late dialogues where the method of dialectic is most pronounced.

A new edition of a classic work compares Plato's dialogues to Aristotle's depiction of them. Reprint.

Plato’s method of hypothesis is initiated in the Meno, is featured in the Phaedo and the Republic, and is further developed in the Theaetetus. His method of collection and division is mentioned in the Republic, is featured in the Phaedrus,and is elaborated with modifications in the Sophist and the Statesman. Both methods aim at definitions in terms of necessary and sufficient conditions. In the course of these developments, the former method is shown to be weak in its treatment of (...) sufficient conditions, and the latter is shown to be comparably weak in its treatment of necessary conditions. A third method, which avoids these difficulties, is introduced in the first part of the Parmenides and is applied in connection with the eight hypotheses that follow. This application yields a demonstration of serious shortcomings both in historical Eleaticism and in the Eleatically-inspired theory of Forms in the Phaedo and the Republic, along with a demonstration of comparative strengths in historical Pythagoreanism and in the Pythagorean- inspiried theory of Forms in the Statesman and the Philebus. (shrink)

This study focuses on the ancient commentaries on Plato’s Phaedo by Olympiodorus and Damascius and aims to present the relevance of their challenging and valuable readings of the dialogue to Neoplatonic ethics.

Throughout his political works, Plato takes the aim of politics to be the virtue and happiness of the citizens and the unity of the city. This paper examines the roles played by law in promoting individual virtue and civic unity in the Republic, Statesman, and Laws. Section 1 argues that in the Republic, laws regulate important institutions, such as education, property, and family, and thereby creating a way of life that conduces to virtue and unity. Section 2 argues that (...) in the Statesman, the political expert determines the mean between extremes and communicates it to citizens through laws that guide their judgment and conduct, so that they become virtuous themselves and the city is unified; this account of the role of law suggest how even non-expert legislation can contribute to virtue and unity. Section 3 argues that the Laws affirms and develops the idea that citizens should know and accept the laws to become virtuous themselves and to unify the city, and explains how the persuasive preludes and the sanction for violation attached to laws contribute to citizen virtue and civic unity. (shrink)

Plato’s method of hypothesis is initiated in the Meno, is featured in the Phaedo and the Republic, and is further developed in the Theaetetus. His method of collection and division is mentioned in the Republic, is featured in the Phaedrus,and is elaborated with modifications in the Sophist and the Statesman. Both methods aim at definitions in terms of necessary and sufficient conditions. In the course of these developments, the former method is shown to be weak in its treatment of (...) sufficient conditions, and the latter is shown to be comparably weak in its treatment of necessary conditions. A third method, which avoids these difficulties, is introduced in the first part of the Parmenides and is applied in connection with the eight hypotheses that follow. This application yields a demonstration of serious shortcomings both in historical Eleaticism and in the Eleatically-inspired theory of Forms in the Phaedo and the Republic, along with a demonstration of comparative strengths in historical Pythagoreanism and in the Pythagorean- inspiried theory of Forms in the Statesman and the Philebus. (shrink)

This paper focuses on two methodological questions that arise from Plato’s account of collection and division. First, what place does the method of collection and division occupy in Plato’s account of philosophical inquiry? Second, do collection and division in fact constitute a formal “method” (as most scholars assume) or are they simply informal techniques that the philosopher has in her toolkit for accomplishing different philosophical tasks? I argue that Plato sees collection and division as useful tools for (...) achieving two distinct goals – generating real definitions and discovering the basic natural kinds of a given domain of knowledge – both of which occupy a preliminary stage in his account of philosophical inquiry. As to the second question, I claim that the evidence for seeing collection and division as a formal method is weak. Although Plato calls the procedure a technê and a methodos, he makes no real attempt to formalize it in any way. For Plato, collection and division do not constitute an algorithmic process that can be learned from a rule book. Instead the ability to collect and divide properly are skills that good dialecticians must acquire through the kind of hands-on training illustrated by the Sophist and Statesman. Whereas Aristotle insists on formal rules for making proper divisions, Plato seems to emphasize the need to recognize where the natural joints of the world are. In this sense, Plato’s Sophist and Statesman and Aristotle’s Topics and Analytics present two very different pictures of collection and division. (shrink)

The purpose of the article is to understand the reasons and procedures employed by F. W. Schelling in his Plato and Aristotle re-appropriation, and to extract the authentically ontological thematic of it. It makes a path through the Schelling’s late writings and letters, to construct a complete view about the relation between this appropriation and the possibility of the constitution of a positive philosophy, as a particular science, in opposition to a negative philosophy, understood as metaphysics.

Although a great deal has been written on Plato's ethics, his cosmology has not received so much attention in recent times and its importance for his ethical thought has remained underexplored. By offering accounts of Timaeus, Philebus, Politicus and Laws X, the book reveals a strongly symbiotic relation between the cosmic and human sphere. It is argued that in his late period Plato presents a picture of an organic universe, endowed with structure and intrinsic value, which both (...) urges our respect and calls for our responsible intervention. Humans are thus seen as citizens of a university that can provide a context for their flourishing even in the absence of good political institutions. The book sheds light on many intricate metaphysical issues in late Plato and brings out the close connections between his cosmology and the development of his ethics. (shrink)

Plato's Utopia Recast is an illuminating reappraisal of Plato's later works, which reveals radical changes in his ethical and political theory. Christopher Bobonich examines later dialogues, with a special emphasis upon the Laws, and argues that in these late works, Plato both rethinks and revises the basic ethical and poltical positions that he held in his better-known earlier works, such as the Republic. This book will change our understanding of Plato. His controversial moral and political (...) theory, so influential in Western thought, will henceforth be seen in a new light. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:The Parmenides and Plato’s Late Philosophy by Robert G. TurnbullScott CarsonRobert G. Turnbull. The Parmenides and Plato’s Late Philosophy. Toronto: University of Toronto Press, 1998. Pp. xii + 209. Cloth, $50.00.Plato’s Parmenides presents a number of puzzles for the interpreter. Some of these are the result of the Neoplatonic interpretation of Plato’s late philosophy; due ultimately to Plotinus and still widely (...) influential, it fails to give a satisfactory account of such elements of Plato’s metaphysics as the mathematicals, forms as “universals,” and an “acquaintance” explanation of our awareness of sensibles and forms. Turnbull strikes a decisive blow against the Neoplatonic interpretation of the Parmenides. More importantly, he makes considerable progress, where others have achieved only limited success, in placing the Parmenides into the wider context of Plato’s later thought.The present work is primarily a translation of and commentary upon the Parmenides. The translation is not intended to be a literary work but rather as an aid to the reader of the commentary, and translation and commentary move forward together, section by section, as in Cornford’s edition. The translation is fairly literal, and some passages are omitted; in the notorious “exercise” of Part II the responses of Aristoteles are regularly elided wherever possible. In some places Turnbull has sacrificed English style in favor of interpretation-neutral renderings: “no many” for Zeno’s ou polla einai at 128b2, for example. While this can sometimes make the translation difficult to read in isolation, it is very useful for the knowledgeable but Greekless reader who can do without such interpretive intrusions as, for example, rendering to hen as “Unity” (Allen). The four final chapters serve to put the dialogue into its place in Plato’s later philosophy. An appendix discusses Cornford, Allen, Sayre, Miller, and Meinwald, as well as the standard lines of the Neoplatonic interpretation.The strength of Turnbull’s interpretation is its attention to literary as well as philosophical detail. The significance of the dramatic coherence among many passages from dialogues generally thought to be late, particularly the Timaeus, Theaetetus, Sophist, and Philebus, has attracted the attention of other commentators, but it has not always been so convincingly connected to the related philosophical issues. With the Theaetetus and Sophist the Parmenides has been called “critical” in the sense that some commentators see in these dialogues a reassessment on Plato’s part of the ontology of forms as described in the Meno, Phaedo, and Republic. Turnbull, by contrast, puts the Parmenides squarely in line with the Republic and Plato’s middle period generally by connecting the dramatic setting of the two dialogues through the characters of Glaucon and Adeimantus; this, in turn, connects with the Timaeus, which is set on the day following the discussion of the Republic. Similar dramatic ties relate the Theaetetus to the Sophist, and the presence of the Eleatic stranger in the latter and mention of Parmenides in the former complete the [End Page 355] artistic connections among these late dialogues and Plato’s middle period. The Philebus is connected with these dialogues because of its discussion of the four factors of the universe: Unlimited, Limit, the Mixture of Unlimited and Limit, and the Cause of the Mixture, factors that are also explored in Part II of the Parmenides.The philosophical connections among the dialogues have their foundation in Plato’s attempt to give an account of the rational structure of the world system (the World Animal of the Timaeus) that underscores the importance of the ultimate sources of intelligibility in the kosmos. The Parmenides opens with a discussion of Zeno’s largely destructive arguments against plurality; Plato then employs Zeno’s own “method of suppositions” to present a constructive thesis to the effect that “from the fundamental forms, through the generation of the intelligible numbers, thence to their being mixed with the Unlimited (apeiron), there is and can be nothing that is that fails to be a source of intelligibility or the intelligible product of such sources” (187). The difficult deductions of the second half of the Parmenides thus exhibit two aspects: a negative, or Parmenidean, version, and a positive, or Platonic version. The Parmenidean... (shrink)

Was Plato a Pythagorean? Plato's students and earliest critics thought so, but scholars since the nineteenth century have been more skeptical. With this probing study, Phillip Sidney Horky argues that a specific type of Pythagorean philosophy, called "mathematical" Pythagoreanism, exercised a decisive influence on fundamental aspects of Plato's philosophy. The progenitor of mathematical Pythagoreanism was the infamous Pythagorean heretic and political revolutionary Hippasus of Metapontum, a student of Pythagoras who is credited with experiments in harmonics that led (...) to innovations in mathematics. The innovations of Hippasus and other mathematical Pythagoreans, including Empedocles of Agrigentum, Epicharmus of Syracuse, Philolaus of Croton, and Archytas of Tarentum, presented philosophers like Plato with novel ways to reconcile empirical knowledge with abstract mathematical theories. Plato and Pythagoreanism demonstrates how mathematical Pythagoreanism established many of the fundamental philosophical questions Plato dealt with in his central dialogues, including Cratylus, Phaedo, Republic, Timaeus, and Philebus. In the process, it also illuminates the historical significance of the mathematical Pythagoreans, a group whose influence on the development of philosophical and scientific methods has been obscured since late antiquity. The picture that results is one in which Plato inherits mathematical Pythagorean method only to transform it into a powerful philosophical argument about the essential relationships between the cosmos and the human being. (shrink)

English and Portuguese Between the 5 th and the 6 th centuries A. D., the Neoplatonic school of Alexandria, where the philosophical didactic follows a specific cursus studiorum , is opened also to the Christian students. D espite some divergences of religious (but also of economical and of political) natures, and after some violent events which occur in the Egyptian city, the Alexandrian school is linked to its contemporary Neoplatonic school in Athens. And indeed t he Prolegomena to Platonic Philosophy, (...) i.e. t he introductory lectures discussed by an Anonymous professor in order to present the characteristic of Platonic philosophy, show that the method of teaching Plato is still the same. According to the Neoplatonic exegetical tradition, the text emphasizes that the dialogical artefact fashioned as a cosmos by Plato is a paideutic instrument with a purpose to look away from the sensible and to guide towards the intelligible. Plato, through dialogues, eikones of the invisible, does not create illusions, but contributes to the practice of ‘assimilation’ by filling the writings with greater contents. KEY-WORDS : Plato, Prolegomena , analogy, visible cosmos, invisible cosmos. Entre os século V e VI d.C., a escola neoplatônica de Alexandria, onde a didática filosófica segue um preciso cursus studiorum , é aberta também aos estudantes cristãos. Não obstante algumas diferenças de natureza religiosa (mas também econômica e política), e em seguida a alguns violentos acontecimentos que golpeiam a cidade egípcia, a escola de Alexandria permanece ligada à contemporânea escola neoplatônica ateniense. E, de fato, os Prolegomena à filosofia de Platão, isto é as lições introdutórias dadas por um professor anônimo para apresentar as características da filosofia platônica, mostram que o método de ensinar Platão é ainda o mesmo. Seguindo a tradição exegética neoplatônica, o texto sublinha que o artefato dialógico, plasmado como um cosmo por Platão, é um instrumento paidêutico que tem o objetivo desviar o olhar do sensível e guiar rumo ao inteligível. Platão, através dos diálogos, eikones do invisível, não cria ilusões, mas contribui para a prática da “assimilação” preenchendo os escritos de maiores conteúdos. PALAVRAS CHAVES: Platão, Prolegomena , analogia, cosmo visível, cosmo invisível. (shrink)

A brief overview of Kenneth Sayre’s paper, “Dialectic in Plato’s Late Dialogues,” followed by critical discussion.

Late ancient Platonists and Aristotelians describe the method of reasoning to first principles as "analysis." This is a metaphor from geometrical practice. How far back were philosophers taking geometric analysis as a model for philosophy, and what work did they mean this model to do? After giving a logical description of analysis in geometry, and arguing that the standard (not entirely accurate) late ancient logical description of analysis was already familiar in the time of Plato and Aristotle, (...) I argue that Plato, in the second geometrical passage of the "Meno" (86e4-87b2), is taking analysis as a model for one kind of philosophical reasoning, and I explore the advantages and limits of this model for philosophical discovery, and in particular for how first principles can be discovered, without circularity, by argument. (shrink)