A close reading of the presentation of the method of dialectic at Philebus 16c-18d and, I argue, of its display in the account of the kinds of art necessary for a good city at Statesman 287c-290a and 303d-305e.

At 287c of the Statesman the Eleatic Visitor — or, more deeply, Plato — faces a daunting task. Because statesmanship has been shown to collaborate with “countless” other arts that share with it the work of “caring” for the city, to understand statesmanship requires distinguishing these arts into an intelligible set of kinds and recognizing how these might go together. Accordingly, the Visitor abandons the mode of division he has practiced without exception up until this moment, bifurcation or “halving,” and (...) offers, instead, a sorting of the arts into fifteen kinds of work. How was Plato able to get his bearings towards the heterogeneous multiplicity of the arts in order to do this sorting? In this paper I suggest that he may have found a paradigm in the double octave matrix of notes from which, according to contemporary musical theory, the seven musical “modes” are drawn. To show the plausibility of this suggestion, I first reconstruct the double octave matrix, which was later to be called the Greater Perfect System, and then show a striking series of points of substantive and structural analogy that hold between this matrix and the Visitor’s division of the arts into fifteen kinds. (shrink)

The question of the method was central in the thought and teaching of Prodicus. We have abundant information on this method but it is, probably, closely connected to various other issues, on which we are less well informed. The right method to solve diverse linguistic problems comprised two moments and not just one as it frequently assumed. Similarly, the terms orthotes and diairesis of names, which appear in the sources, do not designate one single and simple procedure, but rather (...) a double and more complex one, which is reconstructed in this article and whose objectives are clarified. (shrink)

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)

In this paper, I articulate three kinds of division that Plato and Aristotle acknowledge to be proper, valid methods of division, namely, diairesis, parallel division, and chiasmus. I attempt to explain the relationship among the three kinds of division, namely, how they transform from one to another. Starting with Plato’s division of constitution in the Statesman, I illuminate that from ostensible diairesis emerges a parallel division, and the parallel division causes a cross-division to occur. Thus, the sixfold division (...) of constitution is not a diairesis but rather is a 3 x 2 cross-division. Inheriting the three kinds of division from Plato, Aristotle advances the form by providing a theoretical explanation to the transformation of the three kinds of division. In Topics Z6, Aristotle prescribes two conditions under which a parallel division can originate from or construct ostensible diairesis and how the parallel division further causes a cross-division to occur. (shrink)

The strange and challenging stretch of dialectic with which Plato’s Sophist begins and ends has confused and frustrated readers for generations, and despite receiving a fair amount of attention, there is no consensus regarding even basic issues concerning this method. Here I offer a new account of bifurcatory division as neither joke nor naïve method, but instead a valuable, propaedeutic method that Plato offers to us readers as a means of embarking upon the kind of mental gymnastics that will (...) stretch us properly in preparation for further, more challenging dialectical work. Considering several interpretive issues, I argue that bifurcatory division is a process of collective inquiry into the common through which an account, both definitional and taxonomical, is discovered. Depending on the level of understanding exhibited by the inquirers, this account may or may not allow for noetic understanding of the object in the deepest sense. (shrink)

It is not certain when or by whom S0009838800011642_inline1 and S0009838800011642_inline2 were first technically distinguished as genus and species. The distinction does not appear in Plato's extant writings, whereas Aristotle seems to take it for granted in the Topics, which is usually regarded as among his earliest treatises. In his dialogues Plato seems able to use S0009838800011642_inline3 interchangeably to denote any group or division in a diairesis, including the group that is to be divided.

It is not certain when or by whomandwere first technically distinguished asgenusandspecies. The distinction does not appear in Plato's extant writings, whereas Aristotle seems to take it for granted in theTopics, which is usually regarded as among his earliest treatises. In his dialogues Plato seems able to useinterchangeably to denote any group or division in a diairesis, including the group that is to be divided.

It is not certain when or by whomandwere first technically distinguished asgenusandspecies. The distinction does not appear in Plato's extant writings, whereas Aristotle seems to take it for granted in theTopics, which is usually regarded as among his earliest treatises. In his dialogues Plato seems able to useinterchangeably to denote any group or division in a diairesis, including the group that is to be divided.

An investigation of Proclus' logic of the syllogistic and of negations in the Elements of Theology, On the Parmenides, and Platonic Theology. It is shown that Proclus employs interpretations over a linear semantic structure with operators for scalar negations (hypemegationlalpha-intensivum and privative negation). A natural deduction system for scalar negations and the classical syllogistic (as reconstructed by Corcoran and Smiley) is shown to be sound and complete for the non-Boolean linear structures. It is explained how Proclus' syllogistic presupposes converting the (...) tree of genera and species from Plato's diairesis into the Neoplatonic linear hierarchy of Being by use of scalar hyper and privative negations. (shrink)

In his “Noesis and Logos in the Eleatic Trilogy, with a Focus on the Visitor’s Jokes at Statesman 266a-d,” Mitchell Miller explores the interplay of intuition and discourse in the Statesman. He prepares by considering the orienting provocations provided by Socrates’ refutations of the proposed definition of knowledge — namely, “true judgment and a logos” — in the closing pages of the Theaetetus, by the Eleatic Visitor’s obscure schematization at Sophist 253d-e of the kinds of eidetic field discerned by dialectic, (...) and by his discussion at Statesman 277a-278e of the use of paradigms. Miller then seeks to show how the Visitor’s odd medley of geometrical and Homeric jokes at Statesman 266a-d aims, in the language of the Seventh Letter, to “spark” an intuition of the nature of statesmanship, an intuition whose “self-nourishing” motivates the subsequent rejection of the initial definition of the statesman as shepherd of the human herd, the turn to the paradigm of the weaver, and the rejection of bifurcatory division in favor of the non-bifurcatory account of the kinds of art that function as the “limbs” of a well-formed city. (shrink)

This essay is based on two premises. The first concerns the vision of writing proposed by Plato in Phaedrus and especially the conception of philosophical writing as a maieutic game. The structurally polyvalent way in which Plato approaches philosophical issues also emerges in the dialogues. The second concerns the birth and the development of historical analysis in parallel with the birth of philosophy. On this basis the text investigates a series of data about the relationship between Plato and "the facts". (...) 1) If we compare the Apology of Socrates with other sources, we discover a series of important “games” that Plato performs to achieve the results he proposes. 2) The famous passage of Phaedo 96A-102A, which concludes with the Ideas and with a reference to the Principles, expresses definite judgments on the Presocratics. 3) In his works Plato attributes to the sophists some merits, even if the outcome of their contri-bution is overall negative. 4) However, in the fourth complicated diairesis of the Sophist, there is a "sophist of noble stock", an educator who can only be Socrates. 5) Plato in the Sophist shows the weakness of the Gigantomachy, and proposes an adequate definition of the beings: the power of undergoing or acting. This reveals, before the Philebus and the Timaeus, the dynamic and dialectical nature of his philosophy In summary, a multifocal vision emerges, adapted to an intrinsically complex reality. (shrink)

Not much is known about Prodicus of Ceos, though he is mentioned in more than a dozen Platonic dialogues and appears as a character in the Protagoras. In this article I examine the extant evidence about Prodicus from Plato and other ancient authors and show that Plato's attitude toward him was, surprisingly, one of great respect. In fact, Plato suggests that Prodicus was quite literally Socrates' teacher. I argue that by considering the evidence carefully we can determine with some confidence (...) what Socrates probably took from his instruction, namely, an art of making careful distinctions (diairesis), which had important political and philosophical applications. (shrink)

The passage which occurs in Plato's Philebus 25C8-E2 examines the relation between three of four classes of Being which are introduced at 23C. Problems with the text and explication of the passage are considered. Ibis paper attempts to illuminate two central issues of the later dialogues on which the interpretation of this passage rests, the significance of πέρς or the limiting class of Being, and the overall operation of συναγωγή or collection, characterizing the method of diairesis, the foundation of (...) the later dialectic.This paper argues for the need to emend the text to read συμμισγομένων (or even συγγιγνομένων) since this is the significance required by the context; to take the referrent of έϗείνη to be πέρατος γέννα; and to understand άπείρου γέννα and πέρατος γέννα as the referrents of τούτων άμκροτέων. (shrink)

Plato’s Theaetetus, Sophist, and Statesman exhibit several related dialectical methods relevant to Platonic education: maieutic in Theaetetus, bifurcatory division in Sophist and Statesman, and non-bifurcatory division in Statesman, related to the ‘god-given’ method in Philebus. I consider the nature of each method through the letter or element paradigm, used to reflect on each method. At issue are the element’s appearances in given contexts, its fitness for communing with other elements like it in kind, and its own nature defined (...) through its relations to others. These represent stages of inquiry for the Platonic student inquiring into the sources of knowledge. (shrink)

Despite Aristotle’s claim in Topics I that all dialectical argument is either syllogism or epagōgē, modern scholars have largely neglected to assess the role of epagōgē in Platonic dialectic. Though epagōgē has no technical use in Plato, I argue that the method of collection (which, along with division (diairēsis), is central to many of the dialogues’ accounts of dialectic) functions as the Platonic predecessor to Aristotelian epagōgē. An analysis of passages from the Sophist and Statesman suggests that collection is a (...) purificatory practice. I argue that collection is not only Plato’s account of generalization from a sensible many to an intelligible many, as suggested by the Phaedrus, but also functions as a method of diacritical selection that allows inquiry to move from the intelligible many produced by division to the intelligible unity of a definition. This reading contributes a deeper understanding of the mutual relationship of division and collection within Platonic dialectic as well as a way of unifying the accounts of dialectic in the Sophist and Statesman with the otherwise idiosyncratic account of dialectic in the Republic. Finally, this analysis of Platonic epagōgē sheds light on the connection between inquiry and argument present in Aristotle’s use of epagōgē. (shrink)

This grounded study investigated the negotiation of authorship by faculty members, graduate student mentors, and their undergraduate protégés in undergraduate research experiences at a private research university in the northeastern United States. Semi-structured interviews using complementary scripts were conducted separately with 42 participants over a 3 year period to probe their knowledge and understanding of responsible authorship and publication practices and learn how faculty and students entered into authorship decision-making intended to lead to the publication of peer-reviewed technical papers. Herein (...) the theoretical model for the negotiation of authorship developed through the analysis of these interviews is reported. The model identifies critical causal and intervening conditions responsible for the coping strategies faculty and students employ, which, in our study, appear to often produce unfortunate consequences for all involved. The undergraduate student researchers and their graduate student mentors interviewed in this study exhibited a limited understanding of authorship and the requirements for authorship in their research groups. The power differential between faculty and students, the students’ limited epistemic development, the busy-ness of the faculty, and the faculty’s failure to prioritize authorship have been identified as key factors inhibiting both undergraduate and graduate students from developing a deeper understanding of responsible authorship and publication practices. Implications for graduate education and undergraduate research are discussed, and strategies for helping all students to develop a deeper understanding of authorship are identified. (shrink)

The aim of this paper is to investigate Plato’s conception of the whole in the Phaedrus and the theory of medical dialectic underlying this conception. Through this analysis Plato’s conception of kairos will also be adressed. It will be argued that the epistemological holism developed in the dialogue and the patient-typology emerging from it provides us with a way of perceiving individual situations of medical discourse and decision-making that makes it possible to bridge the gap between observations of a professional (...) nature, i.e. of diagnostics and therapy—of whom to treat and in what magnitude—and individual patients’ perceptions of their situation. Besides, it will be argued that such a patient-typology represents a conceptual framework to assess and deal normatively with patients’ ailments and needs that is more robust than the current standards in use, i.e. the Subjective Standard, the Reasonable Person Standard and the Professional Practice Standard. Finally, it will be argued that the possession of kairos, which according to Plato is the hallmark of a true physician, represents a normative conception of time that today’s medicine is in need of revisiting. (shrink)

This paper explores the role of early imperial Peripatetics – in particular, Andronicus of Rhodes, Boethus of Sidon, Herminus, and Alexander – in the development of the canonical reading of the Categories influentially maintained by Porphyry. I investigate the common threads of Middle Platonist and Peripatetic views on the value of the Categories, focusing on the utility of the method of division (diairesis) for acquiring knowledge (epistêmê), and argue for a shared Peripatetic-Platonist consensus about the reasons why the Categories (...) should ground the philosophical curriculum. In particular, I suggest that Andronicus of Rhodes and Eudorus might have played a significant role in the development of this consensus. (shrink)

In this paper, I take up the conciliatory-steadfast debate occurring within social epistemology in regards to the phenomenon of peer disagreement. I will argue, because the conciliatory perspective al-lows us to understand argumentation pragmatically—as a method of problem-solving within a community rather than as a method for obtaining the truth—that in most cases, we should not simply agree to disagree.

Certainty The following article provides an overview of the philosophical debate surrounding certainty. It does so in light of distinctions that can be drawn between objective, psychological, and epistemic certainty. Certainty consists of a valuable cognitive standing, which is often seen as an ideal. It is indeed natural to evaluate lesser cognitive standings, in particular … Continue reading Certainty →.

Trust is a topic of longstanding philosophical interest. It is indispensable to every kind of coordinated human activity, from sport to scientific research. Even more, trust is necessary for the successful dissemination of knowledge, and by extension, for nearly any form of practical deliberation and planning. Without trust, we could achieve few of our goals and would know very little. Despite trust’s fundamental importance in human life, there is substantial philosophical disagreement about what trust is, and further, how trusting is (...) normatively constrained and best theorized about in relation to other things we value. This entry is divided into three sections, which explore key (and sometimes interconnected) ethical and epistemological themes in the philosophy of trust: (1) The Nature of Trust; (2) The Normativity of Trust, and (3) The Value of Trust. (shrink)

Existence Since Thales fell into the well while gazing at the stars, philosophers have invested considerable effort in trying to understand what, how and why things exist. Even though much ink has been spilled about those questions, this article focuses on the following three questions: What is the nature of existence? Are there … Continue reading Existence →.

The purpose of this article is to investigate how sex segregation, social class, and gender are analytically related to occupational stratification. Recent discussions of women and men in the labor force revolve around whether a sex-segregated model in which sex of the worker affects placement, a pure social class model using classical criteria, or a gendered social class model in which social organizational processes of a gendered social class structure affect positioning in the stratification system. This article addresses the influence (...) that social class and gender have on stratification in the labor market. Data from the 1972-82 General Social Survey on 371 occupations, representing 7,541 male and female workers, are used to formulate a social class scheme based on all workers' characteristics. In comparing the models, the analyses show that an integrated gendered social class perspective is consistent with the empirical differentiation found among women and men in the labor force. (shrink)

Sidgwick's seminal textThe Methods of Ethicsleft off with an unresolved problem that Sidgwick referred to as the dualism of practical reason. The problem is that employing Sidgwick's methodology of rational intuitionism appears to show that there are reasons to favour both egoism and utilitarianism. Katarzyna de Lazari-Radek and Peter Singer offer a solution in the form of an evolutionary debunking argument: the appeal of egoism is explainable in terms of evolutionary theory. I argue that like rational prudence, rational benevolence is (...) subject to debunking arguments and so problematic, but also – and more importantly – that debunking arguments are irrelevant in the debate over the dualism of practical reason on the view of reason and rational intuitionism that Lazari-Radek and Singer embrace. Either both egoism and utilitarianism are debunked, or neither are. If I am right, Sidgwick's dualism is left standing. (shrink)

Duality in Logic and Language [draft--do not cite this article] Duality phenomena occur in nearly all mathematically formalized disciplines, such as algebra, geometry, logic and natural language semantics. However, many of these disciplines use the term ‘duality’ in vastly different senses, and while some of these senses are intimately connected to each other, others seem to be entirely … Continue reading Duality in Logic and Language →.

Dynamic Epistemic Logic This article tells the story of the rise of dynamic epistemic logic, which began with epistemic logic, the logic of knowledge, in the 1960s. Then, in the late 1980s, came dynamic epistemic logic, the logic of change of knowledge. Much of it was motivated by puzzles and paradoxes. The number … Continue reading Dynamic Epistemic Logic →.

Meaning and Context-Sensitivity Truth-conditional semantics explains meaning in terms of truth-conditions. The meaning of a sentence is given by the conditions that must obtain in order for the sentence to be true. The meaning of a word is given by its contribution to the truth-conditions of the sentences in which it occurs. What a speaker … Continue reading Meaning and Context-Sensitivity →.

This collection of essays examines the ways in which disputes and controversies about the application of scientific knowledge are resolved. Four concrete examples of public controversy are considered in detail: the efficacy of Laetrile, the classification of homosexuality as a disease, the setting of safety standards in the workplace, and the utility of nuclear energy as a source of power. The essays in this volume show that debates about these cases are not confined to matters of empirical fact. Rather, as (...) is seen with most scientific and technical controversies, they focus on and are structured by complex ethical, economic, and political interests. Drs. Engelhardt and Caplan have brought together a distinguished group of scholars from the sciences and humanities, who sketch a theory of scientific controversy and attempt to provide recommendations about the ways in which both scientists and the public ought to seek more informed resolutions of highly contentious issues in science and technology. Scientific Controversies is offered as a contribution to the better understanding of the roles of both science and nonscientific interests in disputes and controversies pertaining to science and technology. (shrink)

ABSTRACT: In memory of Professor Louise Marcil, from the University of Montreal, who died prematurely in April 1995, this special issue of Dialogue is dedicated to Equality. In addition to presenting the various contributions, the Introduction traces the main strands of Louise Marcil’s work on equality. The impressive corpus of her writings on the subject is characterized throughout by sensitivity to the historical and conceptual complexity of egalitarian theories and policies and by a depth of scholarship, the richness of which (...) defies classification into traditional philosophical schools. Moreover, far from being merely abstract scholarship, this work was clearly intended to strengthen actual egalitarian social projects, to which Louise Marcil was passionately committed. The contributions to this special issue of Dialogue have been selected in large part to reflect the diversity and scholarly standards of Louise Marcil’s approach to equality as well as its engaged spirit. (shrink)

Excerpts from the messages to the Giordano Bruno GlobalShift University on the occasion of its World Education Forum in Budapest, on September 9, 2011. compiled by Ervin Laszlo. It is fitting that...

The main theme that pervades this Festschrift, written by fellow-scholars and students of Bodde for his seventy-fifth birthday, is that of the proper ordering of the universe as it obtains in the Chinese tradition.

Free swimming cells of the ciliated protozoan Tetrahymena are attracted to certain chemicals by chemokinesis. However, a special type of chemotaxis in response to a chemical gradient is found in cells gliding very slowly in semisolid media. In contrast to classical chemotaxis by leukocytes, which is solely positive towards chemo‐attractants, the oriented chemokinesis by gliding Tetrahymena involves both positive and negative elements. The major chemo‐attractants are peptides and/or proteins, and they may be compounds which signal the presence of food in (...) the natural environment of this freshwater phagotroph. (shrink)