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Imagination in mathematics

In Amy Kind (ed.), Routledge Handbook on the Philosophy of Imagination. Routledge. pp. 463-477 (2016)

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  1. Logic of Imagination. Echoes of Cartesian Epistemology in Contemporary Philosophy of Mathematics and Beyond.David Rabouin - 2018 - Synthese 195 (11):4751-4783.
    Descartes’ Rules for the direction of the mind presents us with a theory of knowledge in which imagination, considered as an “aid” for the intellect, plays a key role. This function of schematization, which strongly resembles key features of Proclus’ philosophy of mathematics, is in full accordance with Descartes’ mathematical practice in later works such as La Géométrie from 1637. Although due to its reliance on a form of geometric intuition, it may sound obsolete, I would like to show that (...)
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