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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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  • Man, God and the Apotheosis of Man in Greek and Arabic Commentaries to the Pythagorean Golden Verses.Anna Izdebska - 2016 - International Journal of the Platonic Tradition 10 (1):40-64.
    _ Source: _Volume 10, Issue 1, pp 40 - 64 This paper focuses on the four preserved commentaries to a Pythagorean poem known as the _Golden Verses_. It deals with two Greek texts—Iamblichus’ _Protrepticus_ and Hierocles’ _Commentary to the Golden Verses_—as well as two commentaries preserved in Arabic, attributed to Iamblichus and Proclus. The article analyses how each of these commentators understood the relationship between man and god in the context of the eschatological vision presented in the poem. It also (...)
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  • Iamblichus and the foundations of late platonism.Eugene Afonasin, John M. Dillon & John Finamore (eds.) - 2012 - Boston: Brill.
    Drawing on recent scholarship and delving systematically into Iamblichean texts, these ten papers establish Iamblichus as the great innovator of Neoplatonic philosophy who broadened its appeal for future generations of philosophers.
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  • 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 Medico-oikonomic Model of Human Nature in Bryson’s Oikonomikos.Aistė Čelkytė - 2023 - Phronesis: A Journal for Ancient Philosophy 68 (2):206-235.
    In this paper, I argue that Bryson’s Oikonomikos is a fascinating example of the oikonomia genre in several different respects. Although the problematic transmission of this Neopythagorean text makes studying it a challenge, such effort is well-rewarded with an elaborate argument which paints the human bodily constitution, the central bodily functions and oikonomic activities as intrinsically linked. Focusing on Bryson’s argument which roots oikonomic behaviour in human biology, I explore the underlying conceptualisation of human nature and contextualise it within relevant (...)
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  • The Denominations of Metaphysics and its Science in the Late Antique Philosophy.Valerio Napoli - 2012 - Peitho 3 (1):51-82.
    In late antiquity, in the context of the jagged tradition of Neo-Platonism,Aristotle’s Metaphysics and the specific science that is traced out in itare indicated with the current denominations of meta ta physika andtheologikē pragmateia, which are seen as consistent with one anotherand closely interconnected. In this connection, the Metaphysics, in thewake of previous philosophical readings, is considered as a treatise on“theological science” — the most elevated among the sciences — and thedenomination meta ta physika is seen in a specifically theological (...)
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  • Newton and Proclus: Geometry, imagination, and knowing space.Mary Domski - 2012 - Southern Journal of Philosophy 50 (3):389-413.
    I aim to clarify the argument for space that Newton presents in De Gravitatione (composed prior to 1687) by putting Newton's remarks into conversation with the account of geometrical knowledge found in Proclus's Commentary on the First Book of Euclid's Elements (ca. 450). What I highlight is that both Newton and Proclus adopt an epistemic progression (or “order of knowing”) according to which geometrical knowledge necessarily precedes our knowledge of metaphysical truths concerning the ontological state of affairs. As I argue, (...)
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  • The Nature of the Scholia on Plato’s Phaedrus.Simon Fortier - 2018 - Phronesis 63 (4):449-476.
    _ Source: _Volume 63, Issue 4, pp 449 - 476 While we know that the interpretation of the ‘soul’s pilot’ found in Hermias’ _Scholia on Plato’s Phaedrus_ differs considerably from that of Syrianus and Proclus, this difference has not shifted the prevailing opinion that the _Scholia_ are a faithful transcript of Syrianus’ lectures on the _Phaedrus_. I argue, however, that the difference over the soul’s pilot is only the first in a series of elements which are difficult, if not impossible, (...)
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  • Harmonizing Binaries: Hypatia’s Synesius.Donka Markus - 2020 - International Journal of the Platonic Tradition 15 (1):49-81.
    Hypatia and Synesius lived in a highly divisive time with religious extremism on the rise and the meaning and role of Classical cultural fixtures like paideia, philosophia and manteia being questioned and redefined. I examine Synesius’ Letters, Dion, and De Insomniis to tease out the universalizing and harmonizing tendencies between pagan and Christian, theoria and paideia, philosophia and manteia that Synesius’ writings, life and career embody. I look at Synesius’ synthesis of Iamblichean and Plotinian tendencies, a binary found in modern (...)
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  • Theological Underpinnings of the Modern Philosophy of Mathematics.Vladislav Shaposhnikov - 2016 - Studies in Logic, Grammar and Rhetoric 44 (1):147-168.
    The study is focused on the relation between theology and mathematics in the situation of increasing secularization. My main concern in the second part of this paper is the early-twentieth-century foundational crisis of mathematics. The hypothesis that pure mathematics partially fulfilled the functions of theology at that time is tested on the views of the leading figures of the three main foundationalist programs: Russell, Hilbert and Brouwer.
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