(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)

Plato’s invention of the metaphor of carving the world by the joints gives him a privileged place in the history of natural kind theory in philosophy and science; he is often understood to present a paradigmatic but antiquated view of natural kinds as possessing eternal, immutable, necessary essences. Yet, I highlight that, as a point of distinction from contemporary views about natural kinds, Plato subscribes to an intelligent-design, teleological framework, in which the natural world is the product of craft and, (...) as a result, is structured such that it is good for it to be that way. In Plato’s Philebus, the character Socrates introduces a method of inquiry whose articulation of natural kinds enables it to confer expert knowledge, such as literacy. My paper contributes to an understanding of Plato’s view of natural kinds by interpreting this method in light of Plato’s teleological conception of nature. I argue that a human inquirer who uses the method identifies kinds with relational essences within a system causally related to the production of some unique craft-object, such as writing. As a result, I recast Plato’s place in the history of philosophy, including Plato’s view of the relation between the kinds according to the natural and social sciences. Whereas some are inclined to separate natural from social kinds, Plato holds the unique view that all naturalness is a social feature of kinds reflecting the role of intelligent agency. (shrink)

The many definitions of sophistry at the beginning of Plato’s Sophist have puzzled scholars just as much as they puzzled the dialogue’s main speakers: the Visitor from Elea and Theaetetus. The aim of this paper is to give an account of that puzzlement. This puzzlement, it is argued, stems not from a logical or epistemological problem, but from the metaphysical problem that, given the multiplicity of accounts, the interlocutors do not know what the sophist essentially is. It transpires that, in (...) order to properly account for this puzzle, one must jettison the traditional view of Plato’s method of division, on which divisions must be exclusive and mark out relations of essential predication. It is then shown on independent grounds that, although Platonic division in the Sophist must express predication relations and be transitive, it need not be dichotomous, exclusive, or express relations of essential predication. Once the requirements of exclusivity and essential predication are dropped, it is possible to make sense of the reasons that the Visitor from Elea and Theaetetus are puzzled. Moreover, with this in hand, it is possible to see Plato making an important methodological point in the dialogue: division on its own without any norms does not necessarily lead to the discovery of essences. (shrink)

In a crucial passage in the Republic found within a discussion of women’s role in the ideal polis, division of eidē is identified as necessary for dialectic. A careful consideration of the way division is described in this passage reveals that it resembles the procedure of division described in the Phaedrus and the Sophist and that this procedure, when carried out correctly, is central to dialectic according to the Republic and helps set dialectic apart from eristic. Consideration of additional passages (...) in the Republic indicates that division may be employed on different kinds of entities, such as virtues and types of human natures; for according to the argument of the Republic, the correct use of division for the purpose of distinguishing types of human natures or virtues, entities that to the untrained eye may look alike but are distinct by nature, is required for achieving the knowledge philosophers and philosopher-rulers need. In fact, correctly performed divisions help the dialectician to bring into focus a subject matter under consideration in a kind of double-vision that reveals that matter as a concrete phenomenon that exhibits participation in different eidê when it is considered from different points of view. (shrink)