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  1. Pythagorean Geometry and Fundamental Constants.Michael A. Sherbon - manuscript
    The Cosmological Circle from ancient geometry, with its right triangles, and the ratios of the Pythagorean Table are found to be harmonically related to the fundamental physical constants. After a brief history of harmonic mathematics, harmonic values are calculated for the speed of light constant, gravitational constant, Planck's constant, and the inverse fine-structure constant. We then calculate the harmonic of electron mass and proton mass, showing the related Pythagorean/Cosmological Circle harmonics; and speculate on geometry and symmetry.
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  2. Averiguando a Filolao.Lucas - forthcoming - In D. S. (ed.), Uranie. Guelfe noir publisher.
    Averiguando la esboza de Filolao, tomando cuenta del recurso acesorio que hizo verodImilmente a datos observacionales.
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  3. Peirce Chase’Ing Pythagoras.Rasmus Rebane - 2021 - Sign Systems Studies 48 (2-4):350-367.
    Despite the common knowledge that there is something “Pythagorean” about Charles Peirce’s phenomenology and classification of signs there is a manifest lack of inquiries into the matter. Perhaps there is too little to go on, as Pythagoras himself did not leave us any writings to consult. Nevertheless, much of ancient Greek philosophy bears an unmistakable Pythagorean stamp, and Iamblichus’ bio - graphy of Pythagoras provides us with enough to get such inquiries started. This paper examines the development of triads, beginning (...)
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  4. On Law and Justice Attributed to Archytas of Tarentum.Johnson Monte & P. S. Horky - 2020 - In David Wolfsdorf (ed.), Early Greek Ethics. Oxford: pp. 455-490.
    Archytas of Tarentum, a contemporary and associate of Plato, was a famous Pythagorean, mathematician, and statesman of Tarentum. Although his works are lost and most of the fragments attributed to him were composed in later eras, they nevertheless contain valuable information about his thought. In particular, the fragments of On Law and Justice are likely based on a work by the early Peripatetic biographer Aristoxenus of Tarentum. The fragments touch on key themes of early Greek ethics, including: written and unwritten (...)
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  5. When Did Kosmos Become the Kosmos?Phillip Sidney Horky - 2019 - In Cosmos in the Ancient World. Cambridge: pp. 22-41.
    When did kosmos come to mean *the* kosmos, in the sense of ‘world-order’? I venture a new answer by examining later evidence often underutilised or dismissed by scholars. Two late doxographical accounts in which Pythagoras is said to be first to call the heavens kosmos (in the anonymous Life of Pythagoras and the fragments of Favorinus) exhibit heurematographical tendencies that place their claims in a dialectic with the early Peripatetics about the first discoverers of the mathematical structure of the universe. (...)
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  6. Cosmos in the Ancient World.Phillip Sidney Horky (ed.) - 2019 - Cambridge University Press.
    How did the ancient Greeks and Romans conceptualise order? This book answers that question by analysing the formative concept of kosmos in ancient literature, philosophy, science, art, and religion. This concept encouraged the Greeks and Romans to develop theories to explain core aspects of human life, including nature, beauty, society, politics, the individual, and what lies beyond human experience. Hence, Greek kosmos, and its Latin correlate mundus, are subjects of profound reflection by a wide range of important ancient figures, including (...)
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  7. Cosmic Spiritualism Among the Pythagoreans, Stoics, Jews, and Early Christians.Phillip Sidney Horky - 2019 - In Cosmos in the Ancient World. Cambridge, UK: pp. 270-94.
    This paper traces how the dualism of body and soul, cosmic and human, is bridged in philosophical and religious traditions through appeal to the notion of ‘breath’ (πνεῦμα). It pursues this project by way of a genealogy of pneumatic cosmology and anthropology, covering a wide range of sources, including the Pythagoreans of the fifth century BCE (in particular, Philolaus of Croton); the Stoics of the third and second centuries BCE (especially Posidonius); the Jews writing in Hellenistic Alexandria in the first (...)
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  8. The Papyrological Tradition on Pythagoras and the Pythagoreans.Leonid Zhmud - 2019 - In Christian Vassallo (ed.), Presocratics and Papyrological Tradition: A Philosophical Reappraisal of the Sources.Proceedings of the International Workshop Held at the University of Trier. De Gruyter. pp. 111-146.
  9. Empedocles’ Emulation of Anaxagoras and Pythagoras.Dmitri Panchenko - 2018 - Apeiron 51 (4):453-457.
    Journal Name: Apeiron Issue: Ahead of print.
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  10. Wigner’s Puzzle and the Pythagorean Heuristic.Jane McDonnell - 2017 - Synthese 194 (8):2931-2948.
    It is argued that mathematics is unreasonably effective in fundamental physics, that this is genuinely mysterious, and that it is best explained by a version of Pythagorean metaphysics. It is shown how this can be reconciled with the fact that mathematics is not always effective in real world applications. The thesis is that physical structure approaches isomorphism with a highly symmetric mathematical structure at very high energy levels, such as would have existed in the early universe. As the universe cooled, (...)
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  11. A Música na Obra de Pitágoras de Samos e os Pitagóricos. Breves Fragmentos.Juliano Ozga (ed.) - 2017 - Saarbrücken, Deutschland: NEA Novas Edições Acadêmicas.
    O tema desse livro, conforme o título é a música (do grego μουσική τέχνη – musiké téchne, i.e., “a arte das musas”) na obra de Pitágoras, primeiro pensador na história da filosofia a fazer dessa arte o centro de sua visão de mundo, através de sua inclusão até mesmo nas assim chamadas “ciências exatas”. Para que haja maior compreensão e clareza a respeito do pensamento de Pitágoras, cujos escritos chegaram até o século XXI extremamente fragmentados e em número muito reduzido, (...)
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  12. Heraclitus on Pythagoras.Leonid Zhmud - 2017 - In Charlotte Schubert, Ulrike Muss, Kurt Sier & Enrica Fantino (eds.), Heraklit Im Kontext. De Gruyter. pp. 171-186.
  13. Kepler: Analogies in the Search for the Law of Refraction.Carlos Alberto Cardona - 2016 - Studies in History and Philosophy of Science Part A 59:22-35.
    This paper examines the methodology used by Kepler to discover a quantitative law of refraction. The aim is to argue that this methodology follows a heuristic method based on the following two Pythagorean principles: (1) sameness is made known by sameness, and (2) harmony arises from establishing a limit to what is unlimited. We will analyse some of the author's proposed analogies to find the aforementioned law and argue that the investigation's heuristic pursues such principles.
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  14. David Sider and Dirk Obbink , Doctrine and Doxography: Studies on Heraclitus and Pythagoras.Patricia Curd - 2016 - Rhizomata 4 (2):276-287.
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  15. Number and Reality: Sources of Scientific Knowledge.Alex V. Halapsis - 2016 - ScienceRise 23 (6):59-64.
    Pythagoras’s number doctrine had a great effect on the development of science. Number – the key to the highest reality, and such approach allowed Pythagoras to transform mathematics from craft into science, which continues implementation of its project of “digitization of being”. Pythagoras's project underwent considerable transformation, but it only means that the plan in knowledge is often far from result.
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  16. Visa to Heaven: Orpheus, Pythagoras, and Immortality.Alex V. Halapsis - 2016 - ScienceRise 25 (8):60-65.
    The article deals with the doctrines of Orpheus and Pythagoras about the immortality of the soul in the context of the birth of philosophy in ancient Greece. Orpheus demonstrated the closeness of heavenly (divine) and earthly (human) worlds, and Pythagoras mathematically proved their fundamental identity. Greek philosophy was “an investment in the afterlife future”, being the product of the mystical (Orpheus) and rationalist (Pythagoras) theology.
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  17. Plato and Pythagoreanism by Phillip Sidney Horky.Gabriele Cornelli - 2015 - American Journal of Philology 136 (2):353-357.
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  18. Wegetarianizm a Ofiara Ze Zwierząt W Starożytności – Pomiędzy Postulatem a Praktyką.Katarzyna Kleczkowska - 2015 - Przeglad Filozoficzny - Nowa Seria 94.
    The article concerns on the topic of vegetarianism in the context of the importance of animal sacrifice in ancient Greece and Rome. In the first part the author analyses the function of animal sacrifice in ancient world, focusing on the religious and social meaning of eating the meat offered to gods on an altar. In the second part she presents the figures of vegetarians, who had to face the problem of obligatory character of sacrifice. The author focuses especially on the (...)
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  19. How Musical Was Heraclitus’ Harmony? A Reassessment of 22 B 8, 10, 51 DK.Maria Michela Sassi - 2015 - Rhizomata 3 (1).
    This essay provides a comprehensive and detailed analysis of a cluster of Heraclitus’ fragments that revolve around an image of ‘musical’ harmony (B 8, 10, and 51 Diels-Kranz). The aim is to demonstrate that more numerous as well as more specific references to contemporary musical practice can be found in these fragments than is usually thought. In particular, it is argued that in his talk of cosmic harmonia Heraclitus might well know and exploit a musical sense of this word, namely, (...)
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  20. Plato and Pythagoreanism by Phillip Horky. [REVIEW]Eugenio Benitez - 2014 - Review of Metaphysics 68 (2):429-431.
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  21. A History of Pythagoreanism.Carl A. Huffman (ed.) - 2014 - Cambridge University Press.
    This is a comprehensive, authoritative and innovative account of Pythagoras and Pythagoreanism, one of the most enigmatic and influential philosophies in the West. In twenty-one chapters covering a timespan from the sixth century BC to the seventeenth century AD, leading scholars construct a number of different images of Pythagoras and his community, assessing current scholarship and offering new answers to central problems. Chapters are devoted to the early Pythagoreans, and the full breadth of Pythagorean thought is explored including politics, religion, (...)
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  22. Plato and Pythagoreanism, by Phillip Sidney Horky.Richard McKirahan - 2014 - Ancient Philosophy 34 (2):415-418.
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  23. Phillip Sidney Horky. Plato and Pythagoreanism. Oxford: Oxford University Press, 2013. Pp. 320. £47.99. [REVIEW]Joseph G. Miller - 2014 - Hopos: The Journal of the International Society for the History of Philosophy of Science 4 (2):391-393.
  24. Pythagoras and the Creation of Knowledge.Jose R. Parada-Daza & Miguel I. Parada-Contzen - 2014 - Open Journal of Philosophy 4 (1):68-74.
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  25. Plato and Pythagoreanism by Phillip Sidney Horky.Federico M. Petrucci - 2014 - Journal of the History of Philosophy 52 (4):837-838.
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  26. The Pythagorean Society and Politics.Catherine Rowett - 2014 - In Carl Huffman (ed.), A History of Pythagoreanism. Cambridge University Press. pp. 112-130.
    Pythagoreans dominated the political scene in southern Italy for nearly a century in the late 6th to 5th century BC. What was the secret of their political success and can their political, social and economic policies be assessed in the customary terms with which historians try to analyse ancient societies? I argue that they cannot, and that the Pythagorean approach to politics was sui generis, and successful because it was based on ideas, not force or popular demagogy.
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  27. In Search of Pythagoreanism: Pythagoreanism as an Historiographical Category.Gabriele Cornelli - 2013 - De Gruyter.
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  28. Theophrastus on Platonic and 'Pythagorean' Imitation.Phillip Sidney Horky - 2013 - Classical Quarterly 63 (2):686-712.
    In the twenty-fourth aporia of Theophrastus' Metaphysics, there appears an important, if ‘bafflingly elliptical’, ascription to Plato and the ‘Pythagoreans’ of a theory of reduction to the first principles via ‘imitation’. Very little attention has been paid to the idea of Platonic and ‘Pythagorean’ reduction through the operation of ‘imitation’ as presented by Theophrastus in his Metaphysics. This article interrogates the concepts of ‘reduction’ and ‘imitation’ as described in the extant fragments of Theophrastus’ writings – with special attention to his (...)
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  29. Plato and Pythagoreanism.Phillip Sidney Horky - 2013 - Oxford University Press USA.
    Was Plato a Pythagorean? Plato's students and earliest critics thought so, but scholars since the nineteenth century have been more skeptical. With this probing study, Phillip Sidney Horky argues that a specific type of Pythagorean philosophy, called "mathematical" Pythagoreanism, exercised a decisive influence on fundamental aspects of Plato's philosophy. The progenitor of mathematical Pythagoreanism was the infamous Pythagorean heretic and political revolutionary Hippasus of Metapontum, a student of Pythagoras who is credited with experiments in harmonics that led to innovations in (...)
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  30. Unhinged: Kairos and the Invention of the Untimely.Robert Leston - 2013 - Atlantic Journal of Communication 21 (1):29-50.
    Traditionally, kairos has been seen as a “timely” concept, and so invention is said to emerge fromthe timeliness of a cultural and historical situation. But what if invention was thought of as thepotential to shift historical courses through the injection of something new or alien into a situation?This essay argues that kairos has not been able to free itself from its historical constraints becauseit has been bound to a human sense of temporality. By evolving along patterns different from print,the apparatus (...)
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  31. Pitagora: Filosofo E Maestro di Verità.Alfonso Mele - 2013 - Scienze E Lettere.
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  32. 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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  33. The Fifth Hammer: Pythagoras and the Disharmony of the World.Reviel Netz - 2013 - Common Knowledge 19 (1):138-139.
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  34. From Pious to Polite: Pythagoras in the Res Publica Litterarum of French Renaissance Mathematics. [REVIEW]Richard J. Oosterhoff - 2013 - Journal of the History of Ideas 74 (4):531-552.
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  35. A Música na obra de Pitágoras de Samos e os pitagóricos.Juliano Ozga - 2013 - CBJE.
    A MÚSICA NA OBRA DE PITÁGORAS DE SAMOS E OS PITAGÓRICOS O tema desse projeto, conforme o título é a música (do grego μουσική τέχνη – musiké téchne, i.e., “a arte das musas”) na obra de Pitágoras, primeiro pensador na história da filosofia a fazer dessa arte o centro de sua visão de mundo, através de sua inclusão até mesmo nas assim chamadas “ciências exatas”. Para que haja maior compreensão e clareza a respeito do pensamento de Pitágoras, cujos escritos chegaram (...)
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  36. Archytas 139 (See Also Pseudo-Archytas) Aristarchus 6, 8, 9, 10.Aemilius Paulus - 2013 - In Malcolm Schofield (ed.), Aristotle, Plato and Pythagoreanism in the First Century Bc: New Directions for Philosophy. Cambridge University Press. pp. 154--301.
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  37. Pythagorean Women: Their History and Writings.Sarah B. Pomeroy - 2013 - John Hopkins University Press.
    In Pythagorean Women, classical scholar Sarah B. Pomeroy discusses the groundbreaking principles that Pythagoras established for family life in Archaic Greece, such as constituting a single standard of sexual conduct for women and men. Among the Pythagoreans, women played an important role and participated actively in the philosophical life. While Pythagoras encouraged women to be submissive to men, his reasoning was based on the desire to preserve harmony in the home. -/- Pythagorean Women provides English translations of all the earliest (...)
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  38. Philosophy's Numerical Turn: Why the Pythagoreans' Interest in Numbers is Truly Awesome.Catherine Rowett - 2013 - In Dirk Obbink & David Sider (eds.), Doctrine and Doxography: Studies on Heraclitus and Pythagoras. De Gruyter. pp. 3-32.
    Philosophers are generally somewhat wary of the hints of number mysticism in the reports about the beliefs and doctrines of the so-called Pythagoreans. It's not clear how much Pythagoras himself (as opposed to his later followers) indulged in speculation about numbers, or in more serious mathematics. But the Pythagoreans whom Aristotle discusses in the Metaphysics had some elaborate stories to tell about how the universe could be explained in terms of numbers—not just its physics but perhaps morality too. Was this (...)
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  39. The Lure of Pythagoras.Ian Hacking - 2012 - Iyyun 61:103-128.
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  40. Portfolio Allocation in Coalition Governments: The Case of Italy From the First to the Second Republic.Andrea Pritoni - 2012 - Polis: Research and studies on Italian society and politics 26 (2):203-226.
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  41. Is Pythagoras's Theorem a Social Construct?Zinaida A. Sokuler - 2012 - Russian Studies in Philosophy 50 (4):94-97.
    The author clarifies the thesis of the social constructivists and shows how it is overlapping with some ideas of its critics. Based on established agreement between social constructivism and evolutionary epistemology, she argues that the conceptual elements of mathematical knowledge are social constructs.
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  42. Neoplatonic Lives of Pythagoras – Media of Religious Paideia?Ilinca Tanaseanu-Döbler - 2012 - Zeitschrift für Religionswissenschaft 20 (1):70-93.
    Zusammenfassung Ausgehend von modernen religionswissenschaftlichen Diskussionen um ‚religi⃶se Bildung‘ wird im Artikel der Frage nach Medien religi⃶ser Bildung im philosophischen Heidentum der Sp⃤tantike nachgegangen: inwiefern k⃶nnen die zwei neuplatonischen Pythagorasviten als Instrumente religi⃶ser Bildung in einer Zeit verst⃤rkter Konfrontation mit dem Christentum gelesen werden? Die Ergebnisse zeigen die Vielfalt und Individualit⃤t der neuplatonischen Szene auf, die als einer der sch⃤rfer konturierten Bereiche paganer Religiosit⃤t gelten kann: während Porphyrios Pythagoras in seiner Philosophiegeschichte lediglich als einen Philosophen der Vergangenheit festh⃤lt, benutzt ihn (...)
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  43. T. Hauschild, Power and Magic in Italy.I. Turrina - 2012 - Polis: Research and studies on Italian society and politics 26 (1):141-142.
  44. Pythagoras and the Early Pythagoreans.Leonid Zhmud - 2012 - Oxford University Press.
    In ancient tradition, Pythagoras emerges as a wise teacher, an outstanding mathematician, an influential politician, and as a religious and ethical reformer. This volume offers a comprehensive study of Pythagoras, Pythagoreanism, and the early Pythagoreans through an analysis of the many representations of the individual and his followers.
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  45. L.M. McLaren, Constructing Democracy in Southern Europe: A Comparative Analysis of Italy, Spain, and Turkey.M. Caciagli - 2011 - Polis: Research and studies on Italian society and politics 25 (2):308-310.
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  46. Sobre la Vida Pitagórica.Jámblico de Calcis - 2011 - In Hernández de la Fuente & A. David (eds.), Vidas de Pitágoras. Editorial Atalanta.
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  47. Vida de Pitágoras.Focio de Constantinopla - 2011 - In Hernández de la Fuente & A. David (eds.), Vidas de Pitágoras. Editorial Atalanta.
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  48. Vidas de Pitágoras.Hernández de la Fuente & A. David - 2011 - Editorial Atalanta.
    En el mundo occidental, la primera figura que encarna el arquetipo del mediador sapiencial entre la comunidad humana y lo divino es, sin duda, Pitágoras de Samos. Las implicaciones de las doctrinas de este chamán en la historia de las ideas son enormes, pues sus invenciones abarcan todos los campos del saber: matemáticas, astronomía, filosofía, retórica, política, adivinación, medicina y religión. Nada escapa a este sabio griego, al que se atribuye un famoso teorema matemático, las escalas musicales y la idea (...)
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  49. Pitágoras y El Pitagorismo.Diodoro de Sicilia - 2011 - In Hernández de la Fuente & A. David (eds.), Vidas de Pitágoras. Editorial Atalanta.
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  50. Vida de Pitágoras.Porfirio de Tito - 2011 - In Hernández de la Fuente & A. David (eds.), Vidas de Pitágoras. Editorial Atalanta.
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