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Who Were the Pythagoreans?

In Pythagoras and the Early Pythagoreans. Oxford: Oxford University Press (2012)

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  1. Clotho’ Spindle: Xenocrates’ Doctrine of Indivisibles.Olga Alieva - 2023 - Archiv für Geschichte der Philosophie 105 (4):567-590.
    This paper offers a reconstruction of Xenocrates’ theory of indivisibles which would not commit him to the idea of ‘jerky motion’ criticized by Aristotle in Physica VI, yet would perfectly square with Plato’s Timaeus, the basis of Xenocrates’ canon. Relying on Alexander’s, Porphyry’s, and Themistius’s accounts of his theory, as well on a detailed analysis of De lineis insecabilibus, I suggest that Xenocrates’ minima, contrary to what Aristotle implies, are not to be understood as more or less stable particulars, like (...)
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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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  • Parmenides and the Origins of the Heavenly Sphere in Ancient Greek Cosmology.Radim Kočandrle - forthcoming - Apeiron.
    Aristotle presented an influential conception of the universe consisting of a sphere of fixed stars with a spherical Earth at its centre. A spherical conception of heaven and Earth appears also in Plato’s writings. In presocratic cosmology, the idea of a spherical universe appears provably first in the thoughts of the Pythagoreans and Parmenides. But while there is no surviving evidence for the cosmology of early Pythagoreans, various sources mention in relation to Parmenides a solid surrounding part and a spherical (...)
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  • Between Saying and Doing: Aristotle and Speusippus on the Evaluation of Pleasure.Wei Cheng - 2024 - Apeiron.
    This study aims to provide a coherent new interpretation of the notorious anti-hedonism of Speusippus, Plato’s nephew and the second scholarch of the Academy, by reconsidering all the relevant sources concerning his attitude toward pleasure—sources that seem to be in tension or even incompatible with each other. By reassessing Speusippus’ anti-hedonism and Aristotle’s response, it also sheds new light on the Academic debate over pleasure in which he and Aristotle participated: This debate is not merely concerned with the truth and (...)
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  • The Number Ten Reconsidered: Did the Pythagoreans Have an Account of the Dekad?Irina Deretić & Višnja Knežević - 2020 - Rhizomata 8 (1):37-58.
    We critically reconsider an old hypothesis of the role of the dekad in Pythagorean philosophy. Unlike Zhmud, we claim that: 1) the dekad did play a role in Philolaus’ astronomical system, and 2) Aristotle did not project Plato’s theory of the ten eidetic numbers onto the Pythagoreans. We claim that the dekad, as the τέλειος ἀριθμός, should be understood in Philolaus’ philosophy as completeness and the basis of counting in Greek – as in most other languages – in a decimal (...)
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