This paper considers the use that Plato makes of the Principle of Non-Contradiction in his engagements with eristic refutations. By examining Plato’s use of the principle in his most detailed engagements with eristic—in the Sophist, the discussion of “agonistic” argumentation in the Theaetetus, and especially the Euthydemus—I aim to show that the pressure exerted on Plato by eristic refutations played a crucial role in his development of the PNC, and that the principle provided him with a much more sophisticated means (...) of demarcating philosophical argumentation from eristic than he is generally thought to have. In particular, I argue that Plato’s qualified formulation of the PNC restricts the class of genuine contradictions in such a way that reveals the contradictions that eristics produce through their refutations to be merely apparent and that Plato consistently appeals to his qualified conception of genuine contradiction in his encounters with eristics in order to demonstrate that their refutations are merely apparent. The paper concludes by suggesting that the conception of genuine contradiction afforded by the PNC did not just provide Plato with a way of demarcating genuine from eristic refutations, but also with an answer to substantive philosophical challenges that eristics raised through their refutations. (shrink)

With the use of a particular metaphor, which appears at the end of the Cratylus and is taken up with perfect symmetry at the beginning of the Theaetetus, Plato certainly wanted to indicate the succession of Cratylus–Theaetetus as an order for reading the two dialogues, which Trasillus faithfully reproduced in structuring the second tetralogy of Platonic dialogues. The claim of the theory of ideas, with which the Cratylus ends, must therefore be considered the background in which to place not only (...) the analysis of the name carried out in the Cratylus, but also the discussion and criticism of the epistemological theories examined and refuted in the Theaetetus. The transition from the discussion of the name to that of the logos is another important theoretical element that connects the two dialogues. Another one is the theory of knowledge, already precisely elaborated in the Cratylus, and taken up and deepened in the Theaetetus. Finally, the theme of false and error is a third theoretical element common to the two dialogues, which, starting from Euthydemus, finds its solution in the Sophist. (shrink)

The name tells the thing if it's a name. If it doesn’t tell the thing, it isn’t a name. This is the puzzling and enigmatic theory proposed by Cratilo in the homonymous Plato’s dialogue. The thesis in Hermogenes already sounds hermetic, an "oracle" which requires the presence of an interpreter to clarify what remains hidden in the terms of the sentence. According to the disciple of Heraclitus, the names are by nature guaranteed to impart pure truths, that is, they are (...) all right, at least as many as are real names. An imperfectly fitting name isn’t an inappropriate name. It would not be a name at all. In this text we would like to examine the Platonic Cratylus with respect to the meaning that lies behind the words of Cratylus and clarify his position in face of Socrates's refutation. We will therefore concentrate our attention on the last section of the dialogue devoted to the exchange between Cratylus and Socrates, especially pages 427e-440e. (shrink)

This paper argues for the presence in Plato’s work of a conception of thinking central to which is what I call the Transparency View. According to this view, in order for a subject to think of a given object, the subject must represent that object just as it is, without inaccuracy or distortion. I examine the ways in which this conception influences Plato’s epistemology and metaphysics and explore some ramifications for contemporary views about mental content.

In the introductory scene of Plato’s Cratylus a power game takes place that is based on an asymmetrical distribution of knowledge and which determines the dynamics of the communication. Since Cratylus claims to have greater knowledge than Hermogenes, he puts his discussion partner in an inferior position. Hermogenes strives to balance out this power differential by different strategies. One such strategy is that of including Socrates in the discussion. Socrates reacts to the power differential that Cratylus has built up in (...) a different way from Hermogenes: by the fact that he claims no knowledge for himself but even rejects any knowledge, he succeeds in gaining a position superior to Cratylus and Hermogenes. (shrink)

Augustine famously claims every word is a name. Some readers take Augustine to thereby maintain a purely referentialist semantic account according to which every word is a referential expression whose meaning is its extension. Other readers think that Augustine is no referentialist and is merely claiming that every word has some meaning. In this paper, I clarify Augustine’s arguments to the effect that every word is a name and argue that ‘every word is a name’ amounts to the claim that (...) for any word, there exist tokens of that word which are autonymous nouns. Augustine takes this to be the result of universal lexical ambiguity or equivocity and I clarify how Augustine’s account of metalinguistic discourse, which is one of the most detailed to have survived from antiquity, differs from some ancient and modern theories. (shrink)

In his commentary on Plato’sCratylus, Proclus interprets the dialogue not as a mere work on logic or linguistics, but as having a full psychological and theological import.Late ancient Platonists had already proposed a similar reading for another Platonic dialogue,i.e.theParmenides. In that case too they rejected the logical interpretation, and aimed to find in the text the description of the hierarchy of reality, particularly of the highest beings. As a result, theParmenideswas seen as the accomplished expression of Plato’s theology.Proclus too draws (...) a comparison between theCratylusand theParmenidesin order to stress their theological significance. He also contrasts Plato’s dialectic with Aristotle’s dialectic. Proclus’ interpretation of dialectic is best understood if it is compared to the doctrines of his master Syrianus and of one of his co-disciples,i.e.Hermeias, at the Platonic school of Athens in the 5th centuryad.Contrary to what is sometimes assumed, in this milieu Platonists were not always committed to the task of reconciling the philosophies of Plato and Aristotle. As it happens, they could strongly disagree with and even attack Aristotle, and side with Plato. In particular, they greatly valued Plato’s dialectic, which they viewed as the correct form of reasoning and at the same time as a theory of the utmost theological significance. On the other hand, Aristotle’s dialectic was considered as “bare” logic,i.e.as a mere set of logical rules and arguments with no specific contents.On the basis of a problematicCratylus’passage Proclus defends a theory of truth according to which not only propositions, but also names can be true or false. This allows him to view names as substitutes of propositions. This is particularly the case in the application of the four dialectical methods of definition, division, demonstration and analysis. Proclus’ approach arguably provides a basis—to pagan as well as Christian tradition—for the study of divine names as a part of theology, for the name of a god is held to reveal its attributes. (shrink)

I argue that mathematical representations can have heuristic power since their construction can be ampliative. To this end, I examine how a representation introduces elements and properties into the represented object that it does not contain at the beginning of its construction, and how it guides the manipulations of the represented object in ways that restructure its components by gradually adding new pieces of information to produce a hypothesis in order to solve a problem.In addition, I defend an ‘inferential’ approach (...) to the heuristic power of representations by arguing that these representations draw on ampliative inferences such as analogies and inductions. In effect, in order to construct a representation, we have to ‘assimilate’ diverse things, and this requires identifying similarities between them. These similarities form the basis for ampliative inferences that gradually build hypotheses to solve a problem.To support my thesis, I analyse two examples. The first one is intra-field, that is, the construction of an algebraic representation of 3-manifolds; the second is inter-fields, that is, the construction of a topological representation of DNA supercoiling. (shrink)

The Cratylus’ main concern is to outline and evaluate the competing views of language held by two characters, Hermogenes and Cratylus, who disagree about whether convention or nature (respectively) are the source of onomastic correctness. Hermogenes has been thought to hold two radically different views by different scholars, one extreme conventionalism whereby all names are correct relative to their speakers, and another modest conventionalism according to which distinct naming actions – establishment and employment – explain why some names are correct (...) and others are not, depending on the speaker. In this paper I argue that, though Hermogenes ultimately endorses a conventionalism of the latter kind, it is a mistake to assign him this position from the outset. Rather, to understand the structure of the conversation about conventionalism, we must view Hermogenes’ position, and Socrates’ understanding of it, as developing instead of settled. For it is only by discussing the matter that Hermogenes comes to express a moderate conventionalist view and Socrates comes to appreciate the position Hermogenes actually holds. (shrink)

The present PhD dissertation aims to examine the relation between modality and change in Aristotle’s metaphysics. -/- On the one hand, Aristotle supports his modal realism (i.e., worldly objects have modal properties - potentialities and essences - that ground the ascriptions of possibility and necessity) by arguing that the rejection of modal realism makes change inexplicable, or, worse, banishes it from the realm of reality. On the other hand, the Stagirite analyses processes by means of modal notions (‘change is the (...) actuality of what is virtual insofar as it is virtual’). In other words: to grasp what change is, one has to resort to the modal idiom of potentialities, while the fact that there is change is indicative of the fact that nature is full of modal properties. -/- Aristotle’s modal and kinetic realism finds a negative in the figure of the Megaric Diodorus Kronus. The polemical situation of Greek philosophy has indeed the dialectical advantage of not opposing the Aristotelian position to a sui generis straw man. Both in its reduction of modal judgements to temporal quantifications and in its dissolution of the reality of the state-of-being-in-motion in favour of a cinematographic view of processes, the philosophical figure of reductionist antirealism embodied by Diodorus constitutes an alternative that takes the opposite view of Aristotle’s realism. -/- The present study is structured as a discussion between these two positions. In the face of Diodorus’ antirealist challenges, Aristotle articulates modal and kinetic considerations: the answers he gives to Diodorus’ puzzles thus provide valuable insight into his metaphysics. Moreover, the examination of Aristotle’s and Diodorus’ metaphysics, because of their insight and originality, will not fail to interest the philosopher concerned with the metaphysical foundations of modern physics, insofar as the entanglement between modalities and processes is nowadays at the core of mechanics (phase spaces, path integrals, etc.). (shrink)

Against the background of a conventionalist theory, and staged as a defense of a naturalistic notion of names and naming, the critique of language developed in Plato’s Cratylus does not only propose that human language, in contrast to the language of the gods, is bound to the realm of myth and lie. The dialogue also concludes by offering a set of reasons to think that knowledge of reality is not within the reach of our words. Interpretations of the dialogue’s long (...) etymological sections often neglect this critique and tend to end up with an overly optimistic assessment of the theory of language on offer. In the light of one of the dialogue’s central etymological accounts, Socrates’ etymology of the name Hermes, this paper discusses two recent and influential versions of such a view: David Sedley’s theory of onomatopoetic encapsulation and Franco Trivigno’s qualified referentialism. It argues that the complex relation between language and reality expressed in the Cratylus cannot be exhaustively captured by either of these theories because Plato considers all names to be semantically underdetermined until they are put to use. It suggests that Plato rather works with a functionalistic notion of names and naming, and that the dialogue’s account of natural and correct naming is to be understood in these terms. (shrink)