(1) An introduction to the principles of conceptual modelling, combinatorial heuristics and epistemological history; (2) the examination of a number of perennial epistemological-methodological schemata: conceptual spaces and blending theory; ars inveniendi and ars demonstrandi; the two modes of analysis and synthesis and their relationship to ars inveniendi; taxonomies and typologies as two fundamental epistemic structures; extended cognition, cognitio symbolica and model-based reasoning; (3) Plato’s notions of conceptual spaces, conceptual blending and hypothetical-analogical models (paradeigmata); (4) Ramon Llull’s concept analysis and combinatoric (...) spaces; (5) Gottfried Leibniz’s development of compositional analysis and synthesis as a general modelling method and a paradigm for ars inveniendi; (6) Fritz Zwicky’s revival of the morphological method of analysis and construction, and its subsequent computerised applications. (shrink)

This article defends three claims. First, that collection and division in the Phaedrus are described as procedures that underlie human speaking and thinking in general, as well as philosophical inquiry, and are not identified with either. Second, that what sets the dialectical use of these procedures apart from their ordinary use are philosophical suppositions independent of the procedures of collection and division themselves; for that reason, collection and division cannot be identified with dialectic as such. Third, that the second part (...) of the Phaedrus is concerned with the broader question how noble or beautiful speaking, in general, may be said to depend on dialectic as much as it is concerned with the question how rhetoric, as a kind of expertise, is related to dialectic. (shrink)

Despite intensive exegetical work, Plato’s description of dialectic in the Sophist still raises many questions. Through a close reading of this passage that contextualizes it in the general organisation of the Sophist, this paper provides answers to these questions. After presenting the difficult text, I contend that the “vowel-kinds” are necessary conditions for the blending of kinds. Then, I interpret the “cause of divisions” mentioned by the Stranger as the kinds responsible of the dichotomous division in the first half of (...) the dialogue. In the next part, I show that 235d5-e2 does not describe a procedure of “meta-divison” as some commentators have it, but that it describes the method of division itself. Finally, I connect the difficulty and the obscurity of the passage to the fact that dialectic is the supreme science and I explain why dialectic is the science of free men. (shrink)

In this paper, I provide an interpretation of the symploke ton eidon at Soph. 259e. My goal is to show that the specific metaphysical view expressed by the interweaving of forms best accounts for Plato’s explanation of truth and falsehood. In the first section, I introduce the fundamentals of the interpretation of the greatest kinds and their functions. After that, I propose an interpretation of the assertion at 259e, the upshot of which is that the interweaving of forms only deals (...) with extra-linguistic items, that it is related to both truth and meaning of linguistic items, in a very complex way which I aim to explain throughout the paper, and that it never involves sensible particulars. In the second section, I put forward my reading of the Stranger’s description of how logoi are structured and how they work. I pay particular attention to the view that words reveal being when they intertwine to form a statement. In the third section, I interpret the statements concerning Theaetetus. My goal is to advance a new reading of the specific role that kinds and their interweaving play with regard to the truth and falsehood of the statements concerning Theaetetus. The result is the very specific view that the kinds, which are the separated ontological cause of what happens in space and time, are the grounds of both the truth and the meaning of statements. (shrink)

ABSTRACTThis article aims at understanding the functions of the forms of Being and the Other in Plato's Sophist. In contrast with a linguistic interpretation purporting to draw a distinction between uses of the verb “to be,” I shed light on the ontological role ascribed to “the great genus” in the interweaving of forms. Focusing on the vowel analogy, I argue that the roles of Being and the Other respectively are that of a connector and a separator actualizing the participations and (...) the differences between the forms. The outcome of this analysis is to offer an explanation of the dialectical methods described in that dialogue in a rather obscure, abstract way; the much-debated question of self-predication can be settled without recourse to selfparticipation. (shrink)

The purpose of this paper is to show that in theSophistPlato develops a dialectical strategy that appeals to necessary conditions of language as a fundamental step toward establishing some principles of his ontology. This strategy constitutes a clear antecedent of the elenctic refutation offered by Aristotle inMetaphysics Gamma4 against the denier of the principle of non-contradiction and could be described as transcendental because it refers to conditions without which there wouldn’t be any speech. The paper aims to show that such (...) a strategy is used both by Plato and Aristotle to deal with radical adversaries whose refutation allows the establishment of basic theses of their own philosophies. (shrink)

Dans cet article, j’explore dans un premier temps la conception que se fait Lautman de la dialectique en examinant ses références à Platon et Heidegger. Je compare ensuite les structures dialectiques identifiées par Lautman dans les mathématiques contemporaines avec celles qui émergent de ses sources philosophiques. Enfin, je soutiens que les structures qu’il a découvertes dans les mathématiques sont plus riches que le suggère son modèle platonicien, et que la distinction « ontologique » de Heidegger est moins utile que semblait (...) le penser Lautman. -/- In this paper, I first explore Lautman’s conception of dialectics by a consideration of his references to Plato and Heidegger. I then compare the dialectical structures that he found in contemporary mathematics with the model that emerges from his philosophical sources. Finally, I argue that the structures that he discovered in mathematics are richer than his Platonist model suggests, and that Heidegger’s “ontological” distinction is less useful than Lautman seemed to believe. (shrink)

This paper will examine the issue of Plato’s purposes in the Sophist. First, we will shed light on the main purpose Plato might be drawing in the prologue of the dialog, where the Eleatic Stranger begins to show his philosophical status. Then, we will locate the sophist’s characterization within this main purpose, by reading the result of this characterization as an implicit παράδειγμα which prepares the execution ofthe dialectic and anticipates the defining features of an object key to this science.

The purpose of this paper is to show that in the Sophist Plato develops a dialectical strategy that appeals to necessary conditions of language as a fundamental step toward establishing some principles of his ontology. This strategy constitutes a clear antecedent of the elenctic refutation offered by Aristotle in Metaphysics Gamma 4 against the denier of the principle of non-contradiction and could be described as transcendental because it refers to conditions without which there wouldn’t be any speech. The paper aims (...) to show that such a strategy is used both by Plato and Aristotle to deal with radical adversaries whose refutation allows the establishment of basic theses of their own philosophies. (shrink)