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Lore and science in ancient Pythagoreanism

Cambridge, Mass.,: Harvard University Press (1972)

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  1. 'Making New Gods? A Reflection on the Gift of the Symposium.Mitchell Miller - 2015 - In Debra Nails & Harold Tarrant (eds.), Second Sailing: Alternative Perspectives on Plato. Societas Scientiarum Fennica. pp. 285-306.
    A commentary on the Symposium as a challenge and a gift to Athens. I begin with a reflection on three dates: 416 bce, the date of Agathon’s victory party, c. 400, the approximate date of Apollodorus’ retelling of the party, and c. 375, the approximate date of the ‘publication’ of the dialogue, and I argue that Plato reminds his contemporary Athens both of its great poetic and legal and scientific traditions and of the historical fact that the way late fourth (...)
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  • (1 other version)Is the Idea of the Good Beyond Being? Plato's "epekeina tês ousias" Revisited.Rafael Ferber & Gregor Damschen - 2015 - In Debra Nails & Harold Tarrant (eds.), Second Sailing: Alternative Perspectives on Plato. Societas Scientiarum Fennica. pp. 197-203.
    The article tries to prove that the famous formula "epekeina tês ousias" has to be understood in the sense of being beyond being and not only in the sense of being beyond essence. We make hereby three points: first, since pure textual exegesis of 509b8–10 seems to lead to endless controversy, a formal proof for the metaontological interpretation could be helpful to settle the issue; we try to give such a proof. Second, we offer a corollary of the formal proof, (...)
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  • Stoic Caricature in Lucian’s De astrologia: Verisimilitude As Comedy.Charles McNamara - 2013 - Peitho 4 (1):235-253.
    The inclusion of De astrologia in the Lucianic corpus has been disputed for centuries since it appears to defend astrological practices that Lucian elsewhere undercuts. This paper argues for Lucian’s authorship by illustrating its masterful subversion of a captatio benevolentiae and subtle rejection of Stoic astrological practices. The narrator begins the text by blaming phony astrologers and their erroneous predictions for inciting others to “denounce the stars and hate astrology” (ἄστρων τε κατηγοροῦσιν καὶ αὐτὴν ἀστρολογίην μισέουσιν, 2). The narrator assures (...)
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  • Proclus and Theodore of Asine on female philosopher-rulers: Patriarchy, metempsychosis, and women in the Neoplatonic commentary tradition.Dirk Baltzly - 2013 - Ancient Philosophy 33 (2):403-424.
    The Platonic dialogues contain passages that seem to point in quite opposite directions on the question of the moral equality of women with men. Rep. V defends the view that sexual difference need not be relevant to a person’s capacity for philosophy and thus for virtue. Tim. 42a-c, however, makes incarnation in a female body a punishment for failure to master the challenges of embodiment. This paper examines the different ways in which two subsequent Platonists, Proclus (d. 485 CE) and (...)
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  • Pythagorean Cosmogony and Vedic Cosmogony (RV 10.129). Analogies and Differences.Julia Mendoza & Alberto Bernabé - 2013 - Phronesis 58 (1):32-51.
    Allusions to a cosmogony contained in a Vedic hymn present striking analogies to a cosmogony attributed to the Pythagoreans by Aristotle, Simplicius and Stobaeus. The aim of the paper is to evaluate the extent to which they are similar and to which their differences respond to different cultural premises.
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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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  • Armonia, concordia e politica in Eraclito e nei pitagorici.Diego Garcia Rincon - 2021 - Eirene. Studia Graeca Et Latina 1 (57):93-118.
    This paper examines the relation between Pythagorean and Heraclitean political views. I argue that for Pythagoras, Heraclitus, and Archytas the cosmological and musical notions of harmony (ἁρμονία) and the related notion of concord (ὁμόνοια) have an intrinsic political significance. These thinkers variously reflect upon political harmony and concord, and agree that a crucial condition for it is law (νόμος), which according to Pythagoras and Heraclitus has a divine origin. I begin with the Heraclitean fragments 22 B51, 54, 72, and 114 (...)
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  • Acheloios, Thales, and the Origin of Philosophy: A Response to the Neo-Marxians.Nicholas J. Molinari - 2022 - Oxford: Archaeopress.
    This book presents a new account of Thales based on the idea that Acheloios, a deity equated with water in the ancient Greek world and found in Miletos during Thales’ life, was the most important cultic deity influencing the thinker, profoundly shaping his philosophical worldview. In doing so, it also weighs in on the metaphysical and epistemological dichotomy that seemingly underlies all academia—the antithesis of the methodological postulate of Marxian dialectical materialism vis-à-vis the Platonic idea of fundamentally real transcendental forms. (...)
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  • Άυλη Πολιτιστική Κληρονομιά (ΑΠΚ) – ο ρόλος των κοινοτήτων και της εκπαίδευσης. Intagible Cultural Heritage (ICH) – the role of communities and education.Georgia Zacharopoulou - 2018 - In Βασιλική Καραβάκου (ed.), ΠΡΑΚΤΙΚΑ 1ου Διεθνούς Επιστημονικού Συνεδρίου, Ηθική, Εκπαίδευση και Ηγεσία, 24-27 Νοεμβρίου 2017, University of Macedonia, Thessaloniki, GR. pp. 53-64.
    Η εύληπτη εκπαιδευτική προσέγγιση ότι «κληρονομιά είναι οτιδήποτε θέλεις “εσύ” να διατηρηθεί για τις επόμενες γενιές» κλονίζεται στην ερώτηση «όλα όσα μας παραδίδονται από τους προγόνους μας αποτελούν μια προς διαφύλαξη κληρονομιά, εφόσον “εσύ” το αποφασίσεις;». Εκφάνσεις «βαρβαρότητας» που διασώζονται σε προγενέστερες εθιμικές πρακτικές θα μπορούσαν άραγε να αποτελέσουν στοιχεία ΑΠΚ προς διαφύλαξη; Η παρούσα εργασία επιχειρεί μια πρώτη ανίχνευση του σύνθετου αυτού θέματος. Περιπτώσεις μελέτης από τον ελληνικό και διεθνή χώρο διερευνώνται με κριτήρια αξιολόγησης τα αναφερόμενα στη Σύμβαση για (...)
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  • 'Archytas: Author and Authenticator of Pythagoreanism'.Phillip Sidney Horky - 2021 - In Constantinos Macris, Luc Brisson & Tiziano Dorandi (eds.), Pythagoras Redivivus: Studies on the Texts Attributed to Pythagoras and the Pythagoreans. Academia – ein Verlag in der Nomos Verlagsgesellschaft. pp. 141-76.
    This paper critically examines the use of the name 'Pseudo-Archytas' to refer to two aspects of the reception of Archytas of Tarentum in antiquity: the 'author-inflection' and the 'authority-inflection'. In order to make progress on our understanding of authority and authorship within the Pythagorean tradition, it attempts to reconstruct Porphyry's views on the importance of Archytas as guarantor of Pythagorean authenticity in the former's lost work On the History of the Philosophers by considering a fragment preserved in Arabic by Ibn (...)
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  • The Attunement Theory of the Soul in the Phaedo.Naoya Iwata - 2020 - Japan Studies in Classical Antiquity 4:35-52.
    At Phaedo 86b7–c2 Simmias puts forward the theory that the soul is the attunement of bodily elements. Many scholars have claimed that this theory originates in the Pythagoreans, especially Philolaus. The claim is largely based on their reading of the Phaedo, since we have scarce doxographical evidence. In this paper I show that the dialogue in question does not constitute any evidence for the Pythagorean origin of Simmias’ attunement theory, and that it rather represents the theory as stemming from a (...)
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  • What is Pythagorean in the Pseudo-Pythagorean Literature?Leonid Zhmud - 2019 - Philologus: Zeitschrift für Antike Literatur Und Ihre Rezeption 163 (1):72-94.
    This paper discusses continuity between ancient Pythagoreanism and the pseudo-Pythagorean writings, which began to appear after the end of the Pythagorean school ca. 350 BC. Relying on a combination of temporal, formal and substantial criteria, I divide Pseudopythagorica into three categories: 1) early Hellenistic writings ascribed to Pythagoras and his family members; 2) philosophical treatises written mostly, yet not exclusively, in pseudo-Doric from the turn of the first century BC under the names of real or fictional Pythagoreans; 3) writings attributed (...)
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  • Bad Luck to Take a Woman Aboard.Debra Nails - 2015 - In Debra Nails & Harold Tarrant (eds.), Second Sailing: Alternative Perspectives on Plato. Societas Scientiarum Fennica. pp. 73-90.
    Despite Diotima’s irresistible virtues and attractiveness across the millennia, she spells trouble for philosophy. It is not her fault that she has been misunderstood, nor is it Plato’s. Rather, I suspect, each era has made of Diotima what it desired her to be. Her malleability is related to the assumption that Plato invented her, that she is a mere literary fiction, licensing the imagination to do what it will. In the first part of my paper, I argue against three contemporary (...)
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  • (1 other version)Uma revisão da alegação de Aristóteles sobre as crenças fundamentais dos Pitagóricos: tudo é número?Gabriele Cornelli - 2016 - Filosofia Unisinos 17 (1):50-57.
    A pergunta, “Tudo é número?” no título do famoso artigo de 1989 de Zhmud, deixa aberto um desafio para o extremamente importante testemunho aristotélico de que “tudo é número” era a definição fundamental da filosofia pitagórica. Tal desafio não é nada simples, especialmente quando se considera que, até então, as histórias tanto da filosofia quanto da matemática antiga parecem não ter dúvidas de que esta afirmação é correta. Este artigo pretende submeter à avaliação crítica a alegação de Aristóteles de que (...)
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  • The Pythagorean Way of Life in Clement of Alexandria and Iamblichus.Eugene Afonasin - 2012 - In Eugene Afonasin, John M. Dillon & John Finamore (eds.), Iamblichus and the foundations of late platonism. Boston: Brill. pp. 13-36.
    Eugene Afonasin highlights the wealth of information on Pythagoras and his tradition preserved in Clement of Alexandria’s Stromateis and presents them against the background of Later Platonic philosophy. He  rst outlines what Clement knew about the Pythagoreans, and then what he made of the Pythagorean ideal and how he reinterpreted it for his own purposes. Clement clearly occupies an intermediate position between the Neopythagorean biographical tradition, rmly based on Nicomachus, and that more or less vague and difuse literary situation (...)
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  • Pythagorean Philolaus’ Pyrocentric Universe.Yiorgo N. Maniatis - 2009 - Schole 3 (2):401-415.
    In this work, first, I reexamine the pyrocentric universe of the Pythagorean, Philolaus, who emphatically propounded that the center of the cosmos is neither the earth nor the sun, but a central fiery hearth that stands in the middle of the spherical universe. Second, I attempt to demonstrate the value and significance of this pyrocentric cosmic model by elaborating its novel revolutionary elements and its contribution to astronomy. Third, by underlining the diachroneity and timeliness of this cosmic model, I try (...)
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  • From Hades to the Stars: Empedocles on the Cosmic Habitats of Soul.Simon Trépanier - 2017 - Classical Antiquity 36 (1):130-182.
    > καὶ πῶς τις ἀνάξει αὐτοὺς εἰς φῶς, ὥσπερ > > ἐξ Ἅιδου λέγονται δή τινες εἰς θεοὺς ἀνελθεῖν; > > Plato Republic 521c This study reconstructs Empedocles’ eschatology and cosmology, arguing that they presuppose one another. Part one surveys body and soul in Empedocles and argues that the transmigrating daimon is a long-lived compound made of the elements air and fire. Part two shows that Empedocles situates our current life in Hades, then considers the testimonies concerning different cosmic levels (...)
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  • The Asceticism of the Phaedo: Pleasure, Purification, and the Soul’s Proper Activity.David Ebrey - 2017 - Archiv für Geschichte der Philosophie 99 (1):1-30.
    I argue that according to Socrates in the Phaedo we should not merely evaluate bodily pleasures and desires as worthless or bad, but actively avoid them. We need to avoid them because they change our values and make us believe falsehoods. This change in values and acceptance of falsehoods undermines the soul’s proper activity, making virtue and happiness impossible for us. I situate this account of why we should avoid bodily pleasures within Plato’s project in the Phaedo of providing Pythagorean (...)
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  • A Horse Is a Horse, of Course, of Course, but What about Horseness?Necip Fikri Alican - 2015 - In Debra Nails & Harold Tarrant (eds.), Second Sailing: Alternative Perspectives on Plato. Societas Scientiarum Fennica. pp. 307–324.
    Plato is commonly considered a metaphysical dualist conceiving of a world of Forms separate from the world of particulars in which we live. This paper explores the motivation for postulating that second world as opposed to making do with the one we have. The main objective is to demonstrate that and how everything, Forms and all, can instead fit into the same world. The approach is exploratory, as there can be no proof in the standard sense. The debate between explaining (...)
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  • Plato and Archytas in the Seventh Letter.G. E. R. Lloyd - 1990 - Phronesis 35 (1):159-174.
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  • Proclus on Nature: Philosophy of Nature and its Methods in Proclus’ Commentary on Plato’s timaeus.Marije Martijn - 2010 - Brill.
    One of the hardest questions to answer for a (Neo)platonist is to what extent and how the changing and unreliable world of sense perception can itself be an object of scientific knowledge. My dissertation is a study of the answer given to that question by the Neoplatonist Proclus (Athens, 411-485) in his Commentary on Plato’s Timaeus. I present a new explanation of Proclus’ concept of nature and show that philosophy of nature consists of several related subdisciplines matching the ontological stratification (...)
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  • Speaking Wit to Power.Johannes Wietzke - 2022 - Classical Antiquity 41 (1):129-179.
    Archimedes’ Sand-Reckoner presents a system for naming extraordinarily large numbers, larger than the number of grains of sand that would fill the cosmos. Curiously, Archimedes addresses the treatise not to another specialist but to King Gelon II of Syracuse. While the treatise has thus been seen as evidence for the dynamics of patronage, difficulties in both Archimedes’ treatment of Gelon and his discussion of astronomical models make it fit incongruously within contemporary court and scientific contexts. This article offers a new (...)
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  • Mapping Tartaros: Observation, Inference, and Belief in Ancient Greek and Roman Accounts of Karst Terrain.Catherine Connors & Cindy Clendenon - 2016 - Classical Antiquity 35 (2):147-188.
    This interdisciplinary article argues that ancient Greek and Roman representations of Okeanos, Tartaros, and the underworld demonstrate an observational awareness of the hollow underground spaces that characterize the geomorphology of karst terrains in the Mediterranean world. We review the scientific facts that underlie Greek and Roman accounts of karstic terrain in observation-based discourse and in myths, and we demonstrate that the Greek words barathron, limnē, koilos, and dinē are used with precision in observational accounts of karst terrain. Ancient accounts of (...)
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  • (1 other version)El agua como el primer principio: Las razones de Tales de Mileto.José Solana Dueso - 2009 - Convivium: revista de filosofía 22:5-23.
    Tales de Mileto (VII–VI a.C.), además de ser uno de los siete Sabios, es considerado el primer filósofo precisamente por haber sido el primero en intentar dar razón de la estructura y formación del universo. El punto nuclear de la tesis de Tales afirmaba que el agua es el principio o materia originaria de la que han surgido todas las realidades que componen el variopinto y complejo tejido cósmico. A esta tesis, que hoy bien pudiera parecer extravagante, le cabe el (...)
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  • Presocratic philosophy.Patricia Curd - 2008 - Stanford Encyclopedia of Philosophy.
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  • Solar Motion and Lunar Eclipses in Philolaus’ Cosmological System.Dirk L. Couprie - 2022 - Apeiron 55 (4):627-645.
    In this paper, three problems that have hardly been noticed or even gone unnoticed in the available literature in the cosmology of Philolaus are addressed. They have to do with the interrelationships of the orbits of the Earth, the Sun, and the Moon around the Central Fire and all three of them constitute potentially insurmountable obstacles within the context of the Philolaic system. The first difficulty is Werner Ekschmitt’s claim that the Philolaic system cannot account for the length of the (...)
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  • The Battle of psychê and thymos: A Reappraisal of Heraclitus’ Psychology.Andrew J. Mason - 2020 - Archiv für Geschichte der Philosophie 102 (4):525-555.
    Heraclitus is generally recognised as the first of the Greek thinkers to develop a psychology, but the understanding of his psychology is held back by the assumptions that his soul is a life-principle and is ‘comprehensive’ of the various faculties we regard as psychological. The fragment that best displays the revolutionary character of Heraclitus’ soul doctrine, from a properly psychological viewpoint, is B 85. I offer an extended analysis of this fragment in order to bear out the claims, firstly, that (...)
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  • Incommensurability, Music and Continuum: A Cognitive Approach.Luigi Borzacchini - 2007 - Archive for History of Exact Sciences 61 (3):273-302.
    The discovery of incommensurability by the Pythagoreans is usually ascribed to geometric or arithmetic questions, but already Tannery stressed the hypothesis that it had a music-theoretical origin. In this paper, I try to show that such hypothesis is correct, and, in addition, I try to understand why it was almost completely ignored so far.
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  • A new reading of Archytas’ doubling of the cube and its implications.Ramon Masià - 2016 - Archive for History of Exact Sciences 70 (2):175-204.
    The solution attributed to Archytas for the problem of doubling the cube is a landmark of the pre-Euclidean mathematics. This paper offers textual arguments for a new reading of the text of Archytas’ solution for doubling the cube, and an approach to the solution which fits closely with the new reading. The paper also reviews modern attempts to explain the text, which are as complicated as the original, and its connections with some xvi-century mathematical results, without any documented relation to (...)
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  • La "confessio pythagorica" del "Fedón": Sócrates, el amante de la muerte.Nemrod Carrasco - 2014 - Agora 33 (2):39-61.
    El Fedón es la estilización platónica de la figura de Sócrates como un philósophos pitagórico. Sin embargo, ¿puede deducirse de ello, como señalan las interpretaciones habituales de este diálogo, que ahí se albergue “el credo de la filosofía platónica”? Hay múltiples argumentos que impiden sostener esta tesis: por un lado, la caracterización pitagórica de Sócrates resulta ajena a las diversas fuentes que nos permiten reconstruir un Sócrates “histórico”; por otro lado, el Fedón contradice la actitud general del Sócrates del Corpus (...)
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  • The Pythagorean Table of Opposites, Symbolic Classification, and Aristotle.Owen Goldin - 2015 - Science in Context 28 (2):171-193.
    At Metaphysics A 5 986a22-b2, Aristotle refers to a Pythagorean table, with two columns of paired opposites. I argue that 1) although Burkert and Zhmud have argued otherwise, there is sufficient textual evidence to indicate that the table, or one much like it, is indeed of Pythagorean origin; 2) research in structural anthropology indicates that the tables are a formalization of arrays of “symbolic classification” which express a pre-scientific world view with social and ethical implications, according to which the presence (...)
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  • On A History of Women Philosophers, Volume I.R. M. Dancy - 1989 - Hypatia 4 (1):160-171.
    This book sets high standards for itself. Regrettably it fails to meet them: apart from a few displays of thorough and competent research, it is generally based on substandard scholarship.
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  • Rationality, Eros, and Daemonic Influence in the Platonic Theages and the Academy of Polemo and Crates.Kurt Lampe - 2013 - American Journal of Philology 134 (3):383-424.
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  • The Camenae in Cult, History, and Song.Alex Hardie - 2016 - Classical Antiquity 35 (1):45-85.
    This essay aims to redefine the place of the Camenae within the evolution of Roman carmen. It analyses the documented association of the purifying fons Camenarum with the cult of Vesta and by extension with the salvific prayer- carmina of her virgines ; and it takes the Camenae from the archaic origins of their cult, with reflections on Etruscan and other territorial interests, to their appearance in the epic laudes of men in the third and second centuries BC. The identification (...)
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  • A Fourth Way of Reading Plato’s Phaedo.Donka D. Markus - 2017 - International Journal of the Platonic Tradition 11 (1):80-90.
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  • Newton and music: From the microcosm to the macrocosm.Penelope Gouk - 1986 - International Studies in the Philosophy of Science 1 (1):36 – 59.
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  • Sages at the Games: Intellectual Displays and Dissemination of Wisdom in Ancient Greece.Håkan Tell - 2007 - Classical Antiquity 26 (2):249-275.
    This paper explores the role the Panhellenic centers played in facilitating the circulation of wisdom in ancient Greece. It argues that there are substantial thematic overlaps among practitioners of wisdom , who are typically understood as belonging to different categories . By focusing on the presence of σοφοί at the Panhellenic centers in general, and Delphi in particular, we can acquire a more accurate picture of the particular expertise they possessed, and of the range of meanings the Greeks attributed to (...)
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  • (1 other version)Numerus surdus and musical harmony. On the equal temperament and the end of the Pythagorean reign of numbers.Lianggi Espinoza, Juan Redmond, Pablo César Palacios Torres & Ismael Cortez Aguilera - 2020 - Humanities Journal of Valparaiso 16:137-167.
    The development of philosophical ideas throughout history has sometimes been assisted by the use of handcrafted instruments. Some paradigmatic cases, such as the invention of the telescope or the microscope, show that many philosophical approaches have been the result of the intervention of such instruments. The aim of this article is to show the determining role that stringed musical instruments with frets had in the crisis and generation of philosophical paradigms. In fact, just as the observations of the moon with (...)
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  • Puntos de vista de la verdad: Sobre el carácter polifónico Del pensamiento platónico.Cristián De Bravo Delorme - 2020 - Kriterion: Journal of Philosophy 61 (145):131-149.
    RESUMEN El siguiente artículo tiene como objetivo destacar el carácter polifónico del pensamiento platónico y poner en cuestión el sentido de la autoría de Platón. Suponer, a partir de obstinados prejuicios modernos, que Platón, tal como cualquier escritor moderno, habría expuesto su propia doctrina, es ignorar la importancia de la forma dramática de su pensamiento. El testimonio de la variedad de interlocutores y de puntos de vista que se suceden en los diferentes diálogos, nos invita a prestar atención a la (...)
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  • Pythagoras traveling East: an image of a sage in Late Antiquity.Eugene Afonasin & Anna Afonasina - 2019 - Archai: Revista de Estudos Sobre as Origens Do Pensamento Ocidental 27:e02709.
    Our purpose on the present occasion is to evaluate some ideas the biographers of late antiquity held about the origins of European thought. Speaking about this period we are no longer dealing with the question of transferring of the archaic practices: these practices are indeed long dead. What we encounter can be better defined as the import of ideas. Equally important is a study of the changing attitudes of our authors: rather than passive witnesses, they became active participants of this (...)
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  • Pythagorean Pipe Dreams? Vincenzo Galilei, Marin Mersenne, and the Pneumatic Mysteries of the Pipe Organ.Brandon Konoval - 2018 - Perspectives on Science 26 (1):1-51.
    Sometime between 1589 and 1591, a momentous discovery was announced in Florence; or, at least, a discovery thought to be momentous by its promoter: "The true form of the octave is the octuple [ratio 8:1] and not the duple [2:1]".1 Thus taken out of context, we might be forgiven if we failed either to share the author's enthusiasm or to recognize the importance of his finding. But the fact remains that, sadly, nobody else did either: not only did his contemporaries (...)
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  • (2 other versions)Mjera – od matematike do etike.Luka Boršić - 2007 - Filozofska Istrazivanja 27 (4):751-764.
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  • Which Plato's Political Philosophy?Cristián Alejandro De Bravo Delorme - 2022 - Eidos: Revista de Filosofía de la Universidad Del Norte 37:244-274.
    RESUMEN Este artículo pretende comprender la filosofía de Platón como un ejercicio esencialmente político. Esto implica, sin embargo, distinguir cómo se ejerce esta filosofía política, su sentido y alcance. Muchos estudiosos han atribuido a Platón el proyecto político que Sócrates desarrolla en la República. Sin embargo, el símil de la caverna da cuenta de la imposibilidad o, al menos, de la interna problematicidad de tal proyecto, por lo cual se sugiere que no es en el diálogo República donde se encontraría (...)
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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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  • A Reference to Perfect Numbers in Plato’s Theaetetus.F. Acerbi - 2005 - Archive for History of Exact Sciences 59 (4):319-348.
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  • A New Empedocles? Implications of the Strasburg Fragments for Presocratic Philosophy.Patricia Curd - 2002 - Proceedings of the Boston Area Colloquium of Ancient Philosophy 17 (1):27-59.
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  • El cuerpo (σῶμα) como tumba (σῆμα) del alma en Filón de Alejandría: Uso y resignificación de una metáfora.Laura Pérez - 2012 - Circe de Clásicos y Modernos 16 (2):123-138.
    La idea de que el cuerpo (σῶμα) es una tumba (σῆμα) donde el alma permanece encerrada cumpliendo un castigo por una antigua culpa es transmitida por Platón, quien la atribuye a los órficos. Filón de Alejandría utilizó en diversos pasajes de su obra esta metáfora de procedencia órfica. Nuestro interés consiste en analizar el sentido que Filón le asigna y el modo en que reelabora el significado que le fue asignado en la tradición órfica y en la interpretación platónica. Intentaremos (...)
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  • Pythagoras.Carl Huffman - 2008 - Stanford Encyclopedia of Philosophy.
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  • Operationalism: An Interpretation of the Philosophy of Ancient Greek Geometry.Viktor Blåsjö - 2022 - Foundations of Science 27 (2):587-708.
    I present a systematic interpretation of the foundational purpose of constructions in ancient Greek geometry. I argue that Greek geometers were committed to an operationalist foundational program, according to which all of mathematics—including its entire ontology and epistemology—is based entirely on concrete physical constructions. On this reading, key foundational aspects of Greek geometry are analogous to core tenets of 20th-century operationalist/positivist/constructivist/intuitionist philosophy of science and mathematics. Operationalism provides coherent answers to a range of traditional philosophical problems regarding classical mathematics, such (...)
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  • « The Role Of Stereometry In Plato’s Republic ».Chiye Izumi - 2011 - Plato Journal 11.
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