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

Plato’s Protagoras contains, among other things, three short but puzzling remarks on the media of philosophy. First, at 328e5–329b1, Plato makes Socrates worry that long speeches, just like books, are deceptive, because they operate in a discursive mode void of questions and answers. Second, at 347c3–348a2, Socrates argues that discussion of poetry is a presumptuous affair, because, the poems’ message, just like the message of any written text, cannot be properly examined if the author is not present. Third, at 360e6–361d6, (...) it becomes clear that even if the conversation between Socrates and Protagoras was conducted by means of short questions and answers, this spoken mode of discourse is problematic too, because it ended up distracting the inquiry from its proper course. As this paper 2 sets out to argue, Plato does not only make Socrates articulate these worries to exhibit the hazards of discursive commodifi cation. In line with Socrates’ warning to the young Hippocrates of the dangers of sophistic rhetoric, and the sophists’ practice of trading in teachings, they are also meant to problematize the thin line between philosophical and sophistical practice. By examining these worries in the light of how the three relevant modes of discourse are exemplifi ed in the dialogue, this paper aims to isolate and clarify the reasons behind them in terms of deceit, presumptuousness and distraction; and to argue that these reasons cast doubts on the common assumption that the dialogue’s primary aim is to show how sophistical rhetoric must succumb to Socratic dialectic. (shrink)

Este artigo examina três figuras típicas do discípulo na filosofia antiga: o socrático (“filho ciumento”), o epicurista (“doente curado, mas psitacista”) e o aristotélico (“hermeneuta insatisfeito”).

This paper is an attempt so to construe the arguments of the Hippias Minor as to remove the justification for regarding it as unworthy of Plato either because of its alleged fallaciousness and Sophistic mode of argument or because of its alleged immorality. It focuses, therefore, only on the arguments and their conclusions, steering clear of the dialogue's dramatic and literary aspects. Whereas I do not wish to deny the importance of these aspects to a proper understanding of the dialogue (...) – on the contrary, in a dialogue so heavily laden with irony and caricature, these aspects are necessarily more significant than they are in other dialogues – I do think there is something to be gained from concentrating on the arguments themselves. Although there can be little doubt that Socrates is up to something in the Hippias Minor, the task of determining just what he is up to can only be simplified by clarifying the arguments first.The Hippias Minor has traditionally been thought to contain two independent arguments, each having its own paradoxical conclusion. The first argument begins, it is said, when Hippias characterizes the two Homeric heroes Achilles and Odysseus as the true man and the false man respectively. Through its discovery that both the false man and the true man have δύναμις, it results in the paradox that the false man and the true are identical. The second argument, on this view, leaves the subject of ⋯ ⋯ληθ⋯ς and ⋯ ψευδ⋯ς and compares instead all sorts of agents in intentional and unintentional action. Finding that the intentional agent is in every case better than the unintentional, the argument concludes that the intentional evil-doer is also better than the unintentional. Viewing the dialogue as thus containing two distinct topics treated in two self-sufficient arguments is perhaps not the best way to understand it. (shrink)

Abstract The main thesis of the paper is that, in the coda to the Protagoras (360e-end), Plato tells us why and with what justification he demands a definition of virtue: namely, in order to resolve a particular aporia . According to Plato's assessment of the outcome of the arguments of the dialogue, the principal question, whether or not virtue can be taught , has, by the end of the dialogue, emerged as articulating an aporia , in that both protagonists, Socrates (...) and Protagoras, have argued equally on both its sides. The first part of the paper provides an extensive analysis of the coda, with the aim of establishing the main thesis. The second part provides a comprehensive review of the arguments in the dialogue, with the aim of determining whether their outcome is what Plato says in the coda that it is. I undertake this review in three steps: on Plato's conception of reasons (logoi); Socrates' arguing on both sides; and Protagoras' arguing on both sides. (shrink)

After presenting the rules of Eleatic antilogic, i.e., dialectic, I argue that Zeno was a practitioner, and, on the basis of key passages from Plato’s Parmenides, that his paradoxes of divisibility and movement were notreductio ad absurdum, but simple derivation of impossibilities meant to ridicule Parmenides’ adversaries. Thus, Zeno did not try to prove that there is no motion, but simply derived this consequence from premises held by his opponents. I argue further that these paradoxes were devised, in accordance with (...) Eleatic antilogic, following a scheme that included hypotheses and their contradictories, within which the subject is to be treated both “in relation to itself,” and “in relation to other things”. (shrink)

Plato's Socrates denies that he knows. Yet he frequently claims that he does have certainty and knowledge. How can he avoid contradiction between his general stance about knowledge (that he lacks it) and his particular claims to have it?Socrates' disavowal of knowledge is central to his defence in theApology. For here he rebuts the accusation that he teaches – and thus corrupts – the young by telling the jury that he cannot teach just because he knows nothing. Hence his disavowal (...) of knowledge is important to Socrates. Why does he make this claim? And how then can he justify engaging in any philosophical activity at all? (shrink)

In recent years considerable attention has been focused on the question whether Plato ever uses arguments he knows to be sophistical, especially whether he puts such arguments into the mouth of Socrates. Though differing views have been held, at the present time the majority of scholars seem to believe that Plato does not. Though I disagree with this position, I will not attack it directly in this paper. Instead I will discuss what I take to be an important preliminary matter, (...) establishing criteria that can be employed in order to assess the claim that one of Plato's characters does or does not argue sophistically. Since the case of Socrates is by far the most important, I will limit discussion here to the question whether Socrates ever uses sophistry. (shrink)

TheEuthydemuspresents a brilliantly comic contrast between Socratic and sophistic argument. Socrates' encounter with the sophistic brothers Euthydemus and Dionysodorus exposes the hollowness of their claim to teach virtue, unmasking it as a predilection for verbal pugilism and the peddling of paradox. The dialogue's humour is pointed, for the brothers' fallacies are often reminiscent of substantial dilemmas explored seriously elsewhere in Plato, and the farce of their manipulation is in sharp contrast to the sobriety with which Socrates pursues his own protreptic (...) questioning. But the strategies of this text are complex: theEuthydemusmay be a playful satire of the desire to confound, yet beneath its knockabout humour a serious purpose is also visible. (shrink)

This paper argues that the hypothesis proposed in the Meno is the proposition ‘virtue is good’ alone, and that its epistemic nature is essentially insecure. It has been an object of huge scholarly debate which other hypothesis Socrates posited with regard to the relationship between virtue and knowledge. This debate is, however, misleading in the sense of making us believe that the hypothesis that virtue is good is regarded as a truism in the light of the process of positing a (...) higher hypothesis described in the Phaedo and the Republic. I argue that the hypothesis in question is presented as a result of the earlier discussion of Meno's third definition of virtue, which implies the consequence that morally correct actions are beneficial whether or not accompanied by conventional goods such as wealth and honour. The underlying role of presenting it as a hypothesis is therefore to postpone demonstrating the truth of a controversial thesis which needs a substantial justification. In conclusion, I s... (shrink)

In Athens during the late Classical and Hellenistic periods, it was customary for a man who was borrowing a large sum of money to pledge some property as security for the repayment of his loan. To show that this property was legally encumbered, a flat slab of stone, called a horos, was set up, and an inscription, indicating the nature of the lien on the property, was inscribed on the horos. These horoi served to warn third parties that the man (...) who pledged the property as security was not free to sell it or otherwise alienate it until the loan was repaid. The terminology which is used on these horoi to indicate that the property has been pledged as security varies. On a relatively small number of horoi, only seven, the property is described as ‘lying under ’ for a debt, the amount of which may or may not be specified. The texts found on a far greater number of horoi, some 128 in all, use a different type of expression. On these horoi, the property is said to have been ‘sold on condition of release’. The terminology used on the horoi to describe this kind of lien presents a striking contrast with that employed by the Attic orators: in their speeches we find the verbs ποκεσθαι and ποτιθναι when it is a question of pledging security for a loan, but never ππρασθαι with the addition of the prepositional phrase π λσει. (shrink)

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

ABSTRACTThe Socratic fallacy is the supposed mistake of inferring that somebody does not know any instances or attributes of a universal because of their inability to give a satisfactory definition...

Given that it seems uncontroversial that Socrates displays considerable contempt towards rhetoric in theGorgias,the title of this paper might strike one as an oxymoron. Indeed, a reading of the text has more than once encouraged scholars to posit an Opposition between the elenctic procedures championed by Socrates and the rhetorical procedures of his interlocutors. At least three features have been highlighted that seem to indicate this contrast:1.the Socratic interest in short questions and answers versus his interlocutors’ use of long speeches;2.the (...) Socratic interest in truth regardless of the opinion of the many, the latter seeming an important concern of the rhetorician;3.the supposed Socratic appeal to the intellectual powers of the interlocutor, which is usually contrasted with the appeal to the emotions which is distinctive of rhetoric. (shrink)

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

In Aeschines' dialogue Alcibiades, Socrates sees his brilliant young partner's haughty attitude towards the great Themistocles. Thereupon he gives an encomium of Themistocles, a man whose wisdom and arete, great as they were, could not save him from ostracism by his own people. This encomium has an extraordinary effect on Alcibiades: he cries and in his despair places his head upon Socrates' knee, realizing that he is nowhere near as good a man as Themistocles. Aeschines later has Socrates say that (...) he would have been foolish to think he could have helped Alcibiades by virtue of any art or knowledge, but nonetheless by some divine dispensation he has, in virtue of the eros he felt for the youth, been allowed to make him better. (shrink)

The Regress: Knowledge, we like to suppose, is essentially a rational thing: if I claim to know something, I must be prepared to back up my claim by statingmy reasons for making it;and if my claim is to be upheld, my reasons must begood reasons. Now suppose I know that Q; and let my reasons be conjunctively contained in the proposition that R. Clearly, I must believe that R ;equally clearly, I must know that R. Thus if I know that (...) Q, I know that R. But if I know that R, then I must have my reasons, R' for holding R; and, by the same argument, I mustknow that R'. And if R', then R”; and so on, ad infinitum. (shrink)

Socrates’ expert-analogies is frequent both in Plato’s dialogues and in the Socratic writings of Xenophon, and is also ascribed to Socrates by Aristotle and Aeschines. Socrates makes an analogy from a non-controversial expert (or an expertise) like the cobbler or ship-captain, to another (often controversial) expert (or expertise) like the statesman. This paper defends an interpretation of the expert-analogy as valid deductions. It infers from one type of expert (such as the ship-captain) to another type of expert (such as the (...) statesman), and the attribute inferred (for instance ‘should not be selected by lot’) belongs to these types of experts because they are experts. The general logical form, which makes no mention of the expert and which is valid in virtue of its form, infers from one or more species to another species of the same genus, and the attribute inferred is presupposed to belong as such to the genus and only accidentally to the species. (shrink)

This work articulates two thesis: one Socratic and one Platonic; and displays how the first one is heir of the second. The Socratic one is called the principle of priority of definition; the Platonic one is the Recollection theory. The articulation between both theses is possible due to the Meno’s paradox, which makes a criticism on the first thesis, but it is solved with the second one. The consequence of this articulation is a new interpretation of the Recollection theory, as (...) a theory of knowledge acquisition that depends, mainly, on a distinction between knowledge and true opinion. To conclude, a new interpretation of the knowledge/true opinion distinction is displayed –not in the traditional fashion, evaluating the propositions one by one, and in an atomic way–, but as big blocks or chains of propositions shaping knowledge through explanatory reasoning (aitías logismós). (shrink)