Anyone who has read Plato’s Republic knows it has a lot to say about mathematics. But why? I shall not be satisfied with the answer that the future rulers of the ideal city are to be educated in mathematics, so Plato is bound to give some space to the subject. I want to know why the rulers are to be educated in mathematics. More pointedly, why are they required to study so much mathematics, for so long?

Pretendeu-se estudar a aquisição da virtude em Aristóteles a partir da interpretação de M. F. Burnyeat. Para esse, a virtude aristotélica exige dimensões cognitivas e emocionais, sendo que ao aprendiz não basta conhecer os princípios e as regras gerais da ação, mas deve ter internalizado, através do hábito, uma vontade de praticar ações nobres e justas. Compete ao sujeito virtuoso, portanto, ter o conhecimento do que é correto (the that), assim como, subsidiariamente, a justificativa do porquê é apropriada determinada (...) ação (the because). Da análise dessas variáveis, o autor procura esclarecer a figura conflituosa do akratic (incontinente) e do akalastos (perverso) e elucidar a hipótese do desenvolvimento moral. Concomitantemente este artigo pretende introduzir o problema criminológico da ideia de ressocialização ou da pena capital, entendendo ser o argumento aristotélico ainda influente para a filosofia da virtude e jurídica hodierna e necessário quando se discutem novos paradigmas éticos e jurídicos. (shrink)

Myles Burnyeat maintains that Aristotelian epistêmê, in so far as it deals with explanations, is properly identified as understanding rather than as knowledge. Although Burnyeat is right in thinking that the cognitive achievement Aristotle typically has in mind is not justified true belief, Aristotelian epistêmê cannot be equated with understanding. On some occasions in Aristotle's writings (e.g. Apo 71a4), the term designates a particular science such as mathematics; on others (e.g. Apo 72b18-20), it designates the grasp of a (...) first principle; on others (e.g. Apo 94a20) it is a systematic grasp of fact and explanation that is properly termed understanding; and on still others (e.g. N. Ethics 1147a22) it is that combination of factual knowledge and competency in demonstration that qualifies as expertise or disciplinary mastery. (shrink)

This paper is a test case for the claim, made famous by Myles Burnyeat, that the ancient Greeks did not recognize subjective truth or knowledge. After a brief discussion of the issue in Sextus Empiricus, I then turn to Plato's discussion of Protagorean views in the Theaetetus. In at least two passages, it seems that Plato attributes to Protagoras the view that our subjective experiences constitute truth and knowledge, without reference to any outside world of objects. I argue that (...) these passages have been misunderstood and that on the correct reading, they do not say anything about subjective knowledge. I then try out what I take to be the correct reading of the passages. The paper concludes with a brief discussion of the importance of causes in Greek epistemology. (shrink)

Plato argues, at Theaetetus 170e-171c, that Protagoras’ relativism is self-refuting. This argument, known as the ‘exquisite argument’, and its merits have been the subject of much controversy over the past few decades. Burnyeat (1976b) has argued in defense of Plato’s argument, but his reconstruction of the argument has been criticized as question-begging. After offering an interpretation of Protagoras’ relativism, I argue that the exquisite argument is successful, for reasons that Burnyeat hints at but fails to develop sufficiently. I (...) consider Protagorean relativism under both of the two possible readings with respect to its scope: global relativism, according to which all truths are only relatively true, and qualified relativism, according to which the relativistic thesis itself is excepted. Taking into consideration some contemporary work on relativism and self-refutation, I show that Plato’s argument succeeds on both of these readings. Given that Protagoras could avoid self-contradiction simply by denying that an enduring subject exists, I argue that the exquisite argument is best understood as confronting Protagoras with a dilemma between self-contradiction and self-defeat of various sorts, all of which lead to the same result, that Protagoras violates the requirements of rational discourse in such a way that he becomes an absurd figure who has nothing to say to us. (shrink)

This paper examines a passage in the Theaetetus where Plato distinguishes knowledge from true belief by appealing to the example of a jury hearing a case. While the jurors may have true belief, Socrates puts forward two reasons why they cannot achieve knowledge. The reasons for this nescience have typically been taken to be in tension with each other . This paper proposes a solution to the putative difficulty by arguing that what links the two cases of nescience is that (...) in neither case do the jurors act from an epistemic virtue and that doing so is a necessary condition of knowledge. Appreciating that it is a necessary condition of knowledge that it be the result of an epistemic agent's agency in a distinctive way provides a satisfying solution to the difficulty Burnyeat detected and also does justice to an otherwise neglected aspect of Plato's epistemology: his talk of cognitive capacities and virtues and his focus on what it is that is active and passive in epistemic processes. (shrink)

This article faces the classic problem of the interpretation of what Aristotle calls in de An. III, 5 “the intellect that produces all things”, which is commonly named agent intellect. Historically, there have been two approaches: one that goes back to Alexander of Aphrodisias, who associates the agent intellect with the unmoved mover and the divinity, and another one, associated with Theophrastus but whose major representatives are Philoponus and St. Thomas of Aquinas, who consider that agent intellect is an exclusively (...) human faculty. This last interpretation has been the most accepted historically. Nevertheless, in recent years there has been a resurgence of interpretations of the agent intellect as divine (Caston, Frede, Burnyeat, and others). What we want to demonstrate in this article is that this revival, more than responding to a reinterpretation of the agent intellect, is due to a different understanding of the divinity in Aristotle’s philosophy, which supposes immanent characteristics closer to the human intellect. (shrink)

Vlastos, G. Introduction: the paradox of Socrates.--Lacey, A. R. Our knowledge of Socrates.--Dover, K. J. Socrates in the Clouds.--Robinson, R. Elenchus.--Robinson, R. Elenchus, direct and indirect.--Robinson, R. Socratic definition.--Nakhnikian, G. Elenctic definitions.--Cohen, S. M. Socrates on the definition of piety: Euthyphro 10A-11B.--Santas, G. Socrates at work on virtue and knowledge in Plato's Laches.--Burnyeat, M. F. Virtues in action.--Walsh, J. J. The Socratic denial of Akrasia.--Santas, G. Plato's Protagoras and explanations of weakness.--Woozley, A. D. Socrates on disobeying the law.--Allen, R. (...) E. Plato's earlier theory of forms. (shrink)

In De Anima I 4, Aristotle describes the intellect (nous) as a sort of substance, separate and incorruptible. Myles Burnyeat and Lloyd Gerson take this as proof that, for Aristotle, the intellect is a separate eternal entity, not a power belonging to individual humans. Against this reading, I show that this passage does not express Aristotle’s own views, but dialectically examines a reputable position (endoxon) about the intellect that seems to show that it can be subject to change. The (...) passage’s argument for the indestructibility of intellect via an analogy to perception does not fit with Aristotle’s own views. Aristotle thinks that perception operates via bodily organs, but denies this of understanding. He also requires separability from the body for indestructibility, something this analogy rules out. However, Aristotle’s Platonist interlocutors may well endorse such an argument. My dialectical interpretation best resolves the interpretative difficulties and explains its place in the larger context, Aristotle’s discussion of Platonist views on the soul. Aristotle presents a challenge to his insistence that the soul is subject to change, dialectically resolves that challenge, and then ends by reserving the right to give a different account of the intellect. (shrink)

Tradução para o português do artigo "Berkeley and the pyrrhonism" publicado originalmente em The Review of Metaphysics 5 (1951); reimpresso em Burnyeat, Myles (org.) The Skeptical Tradition. University of California Press, 1983, p. 377-396 e em Richard A. Watson and James E. Force (Editors). The high road to Pyrrhonism, p. 297-318.

This is a defence of the authenticity of Plato’s Epistula vii against the recent onslaught by Frede and Burnyeat (2015). It focusses on what Ep. vii has to say about writing and the embedded philosophical Digression and evaluates this in the context of other mainly late dialogues. In the Cratylus, Socrates ends with resignation regarding the potential of language study as a source of truth. This is also the case in Ep. vii, where the four means of knowledge (names, (...) definitions, images (diagrams) and knowledge/insight/true opinion) do not offer the essence of reality due to the weakness of language, in this case owing to a diagram with contrary properties. Consequently, name and definition are impermanent and conventional. Contra Burnyeat, definition is not impossible but useful in the acquisition of knowledge. Only after dialectical examination comes a flash of insight into reality. So, reality (truth) must, as in the Cratylus, be studied directly. Significantly for Plato (as opposed to Socrates), the epistemology is illustrated by a mathematical case. Hence it is relevant to look at mathematical procedure in middle and late dialogues. Moreover, the possible role of division is considered. Finally, the critique of writing justified by the Digression is placed in the context of the general aversion to the written word. The epistemology of the Digression is shown to be a fair and competent synopsis of the later Plato’s epistemology. Hence, there seems to be no reason thus far to doubt that Ep. vii is a genuine work of Plato. (shrink)

This chapter examines Plato's moral psychology in the Phaedrus. It argues against interpreters such as Burnyeat and Nussbaum that Plato's treatment of the soul is increasingly pessimistic: reason's desire to contemplate is at odds with its obligation to rule the soul, and psychic harmony can only be secured by violently suppressing the lower parts of the soul.

I defend the Seventh Letter, traditionally attributed to Plato, against Michael Frede's argument that it presents a political philosophy inconsistent with that found in the Laws. Frede argues that Plato had given up the idea of the philosopher-king in his Laws, but the 7th Letter seems to be still committed to the project. I argue the Laws, particularly with the introduction of the Nocturnal Council, has Philosopher-Rulers in all but name. I consider the education of the Nocturnal Council and how (...) it functions relative to the other constitutional structures of Magnesia. Frede advances several other arguments that the 7th Letter is spurious, but it at least escapes the most damning charge that it is inconsistent with the Laws philosophically. (shrink)