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  1. Conceptual Modelling, Combinatorial Heuristics and Ars Inveniendi: An Epistemological History (Ch 1 & 2).Tom Ritchey - manuscript
    (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 (...)
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  • (1 other version)Belief, Knowledge, and Learning in Plato's Middle Dialogues.Michael L. Morgan - 1983 - Canadian Journal of Philosophy, Supplementary Volume 9:63-100.
    There is a problem about belief and knowledge in Plato's epistemology that has exercised serious students of Plato only to settle into a recent orthodoxy. Guthrie characterizes the problem and its current resolution this way: ‘In the Meno doxa appeared to be a dim apprehension of the same objects of which knowledge is a clear and complete understanding … in the Republic each is directed to different objects, knowledge to the Forms and doxa to the sensible world alone … at (...)
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  • Mathematics, Mental Imagery, and Ontology: A New Interpretation of the Divided Line.Miriam Byrd - 2018 - International Journal of the Platonic Tradition 12 (2):111-131.
    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 (...)
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