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Document Details : Title: Mathematical Intuition as Imagination Subtitle: The Case of Thomas Aquinas' Philosophy of Mathematics Author(s): USMA GÓMEZ, Daniel Eduardo Journal: Logique et Analyse Volume: 266 Date: 2024-2025 Pages: 119-154 DOI: 10.2143/LEA.266.0.3294834 Abstract : In his commentary on Aristotle’s Metaphysics VII, Thomas Aquinas ascribes the knowledge of individual mathematical objects to the imagination. Far from being a minor aspect of his commentary, such a statement proves to be an essential part of his philosophy of mathematics. In Aquinas’ view, the notion of imagination enables mathematical knowledge to be explained not only in its genesis but also, and above all, in its application and practice. As regards mathematical knowledge, this contribution intends to shed light on how a medieval view on the role of the imagination in mathematical activity provides valuable elements to understand the epistemic role of diagrams. It aims to bring an unsuspected source for the history of the philosophy of mathematics such as Aquinas’. |
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