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  1. A Sixteenth-century Neoplatonic Synthesis: Francesco Piccolomini's theory of mathematics and imagination in the Academicae contemplationes.Guy6 Claessens - 2014 - British Journal for the History of Science 47 (3):421-431.
    The metamathematical framework of the early modern period is primarily determined by two presuppositions stemming from the Aristotelian tradition: mathematical objects are abstracted from sensible matter; imagination is a reproductive faculty exclusively connected with the sensible realm. The recovery of the works of the Greek commentators confronted the early modern readers with rivalling philosophical–mathematical views that explicitly called into question some of their previously undisputed assumptions. In this article I will argue that Francesco Piccolomini in his Academicae contemplationes brings about (...)
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  • The Parthenon and liberal education.Geoff Lehman - 2018 - Albany: SUNY Press. Edited by Michael Weinman.
    Discusses the importance of the early history of Greek mathematics to education and civic life through a study of the Parthenon and dialogues of Plato.
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  • Phantasia and nous pathêtikos. Geometrical figures formation in late neoplatonism.Milan Otal - 2016 - Methodos 16.
    Dans le cadre de sa théorie de la production des figures géométriques par projection des raisons innées, Proclus est le premier à assimiler la phantasia (imagination) au nous pathetikos (intellect passif) évoqué furtivement par Aristote en De Anima III,5. Tout en maintenant cette assimilation, Ammonius (ré)intègrera la notion d’ epinoia dans le processus d’abstraction, statut de la chose abstraite du monde sensible. L’introduction de cette notion provoquera une certaine confusion chez les commentateurs ultérieurs qui, tout en gardant l’assimilation de Proclus, (...)
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  • How to Define a Number? A General Epistemological Account of Simon Stevin’s Art of Defining.Jurgen Naets - 2010 - Topoi 29 (1):77-86.
    This paper explores Simon Stevin’s l’Arithmétique of 1585, where we find a novel understanding of the concept of number. I will discuss the dynamics between his practice and philosophy of mathematics, and put it in the context of his general epistemological attitude. Subsequently, I will take a close look at his justificational concerns, and at how these are reflected in his inductive, a postiori and structuralist approach to investigating the numerical field. I will argue that Stevin’s renewed conceptualisation of the (...)
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  • Colloquium 3: Why Beauty is Truth in All We Know: Aesthetics and Mimesis in Neoplatonic Science1.Marije Martijn - 2010 - Proceedings of the Boston Area Colloquium of Ancient Philosophy 25 (1):69-108.
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  • Geometry and the Gods: Theurgy_ in Proclus’s _Commentary on the First Book of Euclid’s Elements.Robert Goulding - 2022 - Perspectives on Science 30 (3):358-406.
    The gods that guard the poles have been assigned the function of assembling the separate and unifying the manifold members of the whole, while those appointed to the axes keep the circuits in everlasting revolution around and around. And if I may add my own conceit, the centers and poles of all the spheres symbolize the wry-necked gods by imitating the mysterious union and synthesis which they effect; the axes represent the connectors of all the cosmic orders … and the (...)
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  • Clavius, Proclus, and the Limits of Interpretation: Snapshot-idealization versus Projectionism.Guy Claessens - 2009 - History of Science 47 (3):317-336.