Search results for 'Pythagorean' (try it on Scholar)

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  1.  17
    Jane McDonnell (forthcoming). Wigner’s Puzzle and the Pythagorean Heuristic. Synthese:1-18.
    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 (...)
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  2. Peter Kingsley (1995). Ancient Philosophy, Mystery, and Magic: Empedocles and Pythagorean Tradition. Oxford University Press.
    This is the first book to analyze systematically crucial aspects of ancient Greek philosophy in their original context of mystery, religion, and magic. The author brings to light recently uncovered evidence about ancient Pythagoreanism and its influence on Plato, and reconstructs the fascinating esoteric transmission of Pythagorean ideas from the Greek West down to the alchemists and magicians of Egypt, and from there into the world of Islam.
     
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  3.  32
    Carl A. Huffman (2005). Archytas of Tarentum: Pythagorean, Philosopher, and Mathematician King. Cambridge University Press.
    Archytas of Tarentum was a central figure in fourth-century Greek life and thought and the last great philosopher in the early Pythagorean tradition. He solved a famous mathematical puzzle, saved Plato from the tyrant of Syracuse, led a powerful Greek city state, and was the subject of three books by Aristotle. This first extensive study of Archytas' work in any language presents a radically new interpretation of his significance for fourth-century Greek thought and his relationship to Plato, as well (...)
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  4.  6
    Kurt von Fritz (1940). Pythagorean Politics in Southern Italy. New York, Columbia University Press.
    Reconstruction of the versions of Aristoxenos and Dikaiarchos.--The sources of Dikaiarchos and Aristoxenos and the reliability of their accounts. --Reconstruction of Timaios' version and the reliability of his accounts.--The chronological questions and the numismatic evidence.--The character of the "Pythagorean rule" in southern Italy.--Appendix.
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  5.  9
    S. K. Heninger (1974). Touches of Sweet Harmony: Pythagorean Cosmology and Renaissance Poetics. Huntington Library.
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  6. Johan Carl Thom (ed.) (1995). The Pythagorean Golden Verses: With Introduction and Commentary. E.J. Brill.
     
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  7.  2
    D. Tarrant & A. Cameron (1939). The Pythagorean Background of the Theory of Recollection. Journal of Hellenic Studies 59 (2):164.
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  8. Kenneth Sylvan Guthrie (1920). Pythagorean Library a Complete Collection of the Works of Surviving Works of Pythagoras. Platonist Press.
     
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  9. Kenneth Sylvan Guthrie (1987). The Pythagorean Sourcebook and Library: An Anthology of Ancient Writings Which Relate to Pythagoras and Pythagorean Philosophy. Phanes Press.
  10.  5
    Edwin LeRoy Minar (1942). Early Pythagorean Politics in Practice and Theory. Baltimore, Waverly Press, Inc..
  11. Robert Navon (ed.) (1986). The Pythagorean Writings: Hellenistic Texts From the Lst Cent. B.C.-3d Cent. A.D. On Life, Morality, and the World: Comprising a Selection of the Neo-Pythagorean Fragments, Texts, and Testimonia of the Hellenistic Period, Including Those of Philolaus and Archytas. [REVIEW] Selene Books.
     
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  12.  7
    Anna Izdebska (2016). Man, God and the Apotheosis of Man in Greek and Arabic Commentaries to the Pythagorean Golden Verses. 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 (...)
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  13.  3
    Owen Goldin, The Pythagorean Table of Opposites, Symbolic Classification, and Aristotle.
    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 (...)
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  14.  42
    Abraham A. Ungar (1998). From Pythagoras To Einstein: The Hyperbolic Pythagorean Theorem. [REVIEW] Foundations of Physics 28 (8):1283-1321.
    A new form of the Hyperbolic Pythagorean Theorem, which has a striking intuitive appeal and offers a strong contrast to its standard form, is presented. It expresses the square of the hyperbolic length of the hypotenuse of a hyperbolic right-angled triangle as the “Einstein sum” of the squares of the hyperbolic lengths of the other two sides, Fig. 1, thus completing the long path from Pythagoras to Einstein. Following the pioneering work of Varičak it is well known that relativistic (...)
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  15.  49
    F. M. Cornford (1922). Mysticism and Science in the Pythagorean Tradition. Classical Quarterly 16 (3-4):137-.
    The object of this paper is to show that, in the sixth and fifth centuries B.C., two different and radically opposed systems of thought were elaborated within the Pythagorean school. They may be called respectively the mystical system and the scientific. All current accounts of Pythagoreanism known to me attempt to combine the traits of both systems in one composite picture, which naturally fails to hold together. The confusion goes back to Aristotle, who usually speaks indiscriminately of ‘the Pythagoreans,’ (...)
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  16.  30
    Stephen Philip Menn (1996). Philolaus of Croton, Pythagorean and Presocratic: A Commentary on the Fragments and Testimonia with Interpretive Essays. Journal of the History of Philosophy 34 (2):290-292.
    29 o JOURNAL OF THE HISTORY OF PHILOSOPHY 34:2 APRIL t996 J. Burnet, Oxford, 19oz ) is excluded, as are influential works in foreign languages. Popper's The Open Society and Its Enemies, vol. I is included 077); it was later translated into German . The converse does not hold: P. Friedl~inder's Platon 049-43) is included, but its English translation is not. F. Solmsen's Plato's Theology is not included, nor is his "Plato and the Unity of Science,"s although it was reprinted (...)
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  17.  17
    Catherine Rowett (2014). The Pythagorean Society and Politics. In Carl Huffman (ed.), A History of Pythagoreanism. Cambridge University Press 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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  18.  42
    Sorin Bangu (2006). Pythagorean Heuristic in Physics. Perspectives on Science 14 (4):387-416.
    : Some of the great physicists' belief in the existence of a connection between the aesthetical features of a theory (such as beauty and simplicity) and its truth is still one of the most intriguing issues in the aesthetics of science. In this paper I explore the philosophical credibility of a version of this thesis, focusing on the connection between the mathematical beauty and simplicity of a theory and its truth. I discuss a heuristic interpretation of this thesis, attempting to (...)
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  19.  26
    David Socher (2005). A Cardboard Pythagorean Teaching Aid. Teaching Philosophy 28 (2):155-161.
    A guiding thread in Western thought is that the world has a mathematical structure. This essay articulates this thread by making use of a cardboard teaching aid that illustrates the Pythagorean Theorem and uses this teaching aid as a starting point for discussion about a variety of philosophical and historical topics. To name just a few, the aid can be used to segue into a discussion of the Pythagorean association of shapes with numbers, the nature of deductive argumentation, (...)
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  20.  11
    Enrico Livrea (1998). A New Pythagorean Fragment and Homer's Tears in Ennius. Classical Quarterly 48 (02):559-561.
    Although we do not know the philosophical source these scholia derive from , there can hardly be any doubt that we have here a new Pythagorean fragment which communicates basic notions about metempsychosis. Pythagoras is criticized for representing the soul as afflicted by pain and grief when it leaves the body before entering a new one. The reasons given for its distress need not detain us here, but this new Pythagorean fragment clearly offers a conclusive solution to the (...)
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  21.  4
    Patrick Lee Miller (2008). Archytas of Tarentum: Pythagorean, Philosopher, and Mathematician-King (Review). Journal of the History of Philosophy 46 (1):165-166.
    Patrick L. Miller - Archytas of Tarentum: Pythagorean, Philosopher, and Mathematician-King - Journal of the History of Philosophy 46:1 Journal of the History of Philosophy 46.1 165-166 Muse Search Journals This Journal Contents Reviewed by Patrick Lee Miller Duquesne University Carl Huffman, Archytas of Tarentum: Pythagorean, Philosopher, and Mathematician-King. Cambridge-New York: Cambridge University Press, 2005. Pp. xv + 665. Cloth, $180.00. Archytas of Tarentum has in some ages been considered a major philosopher. He was one of the three (...)
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  22. Carl Huffman (2010). Archytas of Tarentum: Pythagorean, Philosopher and Mathematician King. Cambridge University Press.
    Archytas of Tarentum is one of the three most important philosophers in the Pythagorean tradition, a prominent mathematician, who gave the first solution to the famous problem of doubling the cube, an important music theorist, and the leader of a powerful Greek city-state. He is famous for sending a trireme to rescue Plato from the clutches of the tyrant of Syracuse, Dionysius II, in 361 BC. This 2005 study was the first extensive enquiry into Archytas' work in any language. (...)
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  23.  16
    Iamblichus (1989). On the Pythagorean Life. Liverpool University Press.
    The Pythagorean Life is the most extensive surviving source on Pythagoreanism, and has wider interest as an account of the religious aspirations of late antiquity. "...admirably clear translation and sensible introduction"--The Classical ...
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  24. Colin Cheyne & Charles R. Pigden (1996). Pythagorean Powers or a Challenge to Platonism. Australasian Journal of Philosophy 74 (4):639 – 645.
    The Quine/Putnam indispensability argument is regarded by many as the chief argument for the existence of platonic objects. We argue that this argument cannot establish what its proponents intend. The form of our argument is simple. Suppose indispensability to science is the only good reason for believing in the existence of platonic objects. Either the dispensability of mathematical objects to science can be demonstrated and, hence, there is no good reason for believing in the existence of platonic objects, or their (...)
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  25.  58
    F. I. Piazzese (2001). Pythagorean Metric in Particle's Relativistic Dynamics. Foundations of Physics 31 (8):1251-1263.
    A new non-traditional quasi-classical description of the particle dynamics (QCDPD) is outlined. The “quasi-classical” attribute is suggested by the closeness—although not identity—to the description of a classical system, in the framework of classical dynamics. Founded on a suitable one-to-one mapping of the timelike 4-vectors of Minkowski's spacetime onto the real 4-dimension vector space, QCDPD is mathematically equivalent to the traditional description of special relativity. However, in QCDPD a new frequency fulfilling the same transformation law as the frequency of an oscillator (...)
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  26.  37
    J. B. Kennedy (2010). Plato's Forms, Pythagorean Mathematics, and Stichometry. Apeiron 43 (1):1-32.
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  27. Peter Kingsley (1994). From Pythagoras to the Turba Philosophorum: Egypt and Pythagorean Tradition. Journal of the Warburg and Courtauld Institutes 57:1-13.
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  28.  68
    I. Toth & J. Kaplansky (1998). "As Philolaos the Pythagorean Said": Philosophy, Geometry, Freedom. Diogenes 46 (182):43-71.
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  29.  63
    M. Schofield (2009). Archytas of Tarentum: Pythagorean, Philosopher, and Mathematician King. Philosophical Review 118 (1):108-112.
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  30.  12
    S. M. D. (1943). Early Pythagorean Politics in Practice and Theory. [REVIEW] Journal of Philosophy 40 (3):79-81.
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  31.  48
    Colin Cheyne & Charles R. Pigden, Pythagorean Powers.
    The Quine/Putnam indispensability argument is regarded by many as the chief argument for the existence of platonic objects. We argue that this argument cannot establish what its proponents intend. The form of our argument is simple. Suppose indispensability to science is the only good reason for believing in the existence of platonic objects. Either the dispensability of mathematical objects to science can be demonstrated and, hence, there is no good reason for believing in the existence of platonic objects, or their (...)
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  32.  49
    Mihaela C. Fistioc (2002). The Beautiful Shape of the Good: Platonic and Pythagorean Themes in Kant's Critique of the Power of Judgment. Routledge.
    This book investigates the link Kant discerned between our experience of beauty and our experience of the moral law. By examining Kant's relation to Greek philosophy, to Plato and Pythagoras, as found in Kant's own writings, the author sheds new light on one the most intriguing and mysterious doctrines of Kant's third Critique.
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  33.  12
    Liba Chaia Taub (2007). Archytas of Tarentum: Pythagorean, Philosopher, and Mathematician King (Review). American Journal of Philology 128 (1):133-137.
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  34.  39
    Alan C. Bowen (1982). The Foundations of Early Pythagorean Harmonic Science. Ancient Philosophy 2 (2):79-104.
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  35.  9
    Donald S. MacKay (1941). Pythagorean Politics in Southern Italy. An Analysis of the Sources. [REVIEW] Journal of Philosophy 38 (24):665-667.
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  36.  8
    Christoph A. Riedweg (2015). PYTHAGORAS'S WOMEN. S.B. Pomeroy Pythagorean Women. Their History and Writings. Pp. Xxiv + 172, Ills, Maps. Baltimore: The Johns Hopkins University Press, 2013. Cased, £32, US$49.95. ISBN: 978-1-4214-0956-6. [REVIEW] The Classical Review 65 (1):96-97.
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  37.  33
    C. A. Browne (1906). Magic Squares and Pythagorean Numbers. The Monist 16 (3):422-433.
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  38.  13
    G. B. Kerferd (1965). ΔΑΙΜΩΝ in Pythagorean Thought M. Detienne: La Notion de Δαμων Dans le Pythagorisme Ancien. (Bibliothèque de la Fac. De Philos. Et Lettres de l'Univ. De Liège, Fasc. Clxv.) Pp. 214. Paris: Les Belles Lettres, 1963. Paper, 15 Fr. [REVIEW] The Classical Review 15 (01):77-79.
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  39.  16
    W. K. C. Guthrie (1939). Early Pythagoreanism Alister Cameron: The Pythagorean Background of the Theory of Recollection. Pp. Viii + 101. Menasha, Wisconsin: George Banta, 1938. Paper. [REVIEW] The Classical Review 53 (01):14-15.
  40.  8
    M. D. (1939). The Pythagorean Background of the Theory of Recollection. [REVIEW] Journal of Philosophy 36 (2):49-50.
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  41.  16
    R. A. Aronov (2002). The Pythagorean Syndrome in Science and Philosophy. Russian Studies in Philosophy 41 (2):50-69.
    The problem of the relationship between mathematics and objective reality, which arose in early antiquity, is still a subject of heated discussion. The discussions are mainly about the question that probably was posed most clearly by Immanuel Kant in his Critique of Pure Reason: "How do subjective conditions of thought have objective validity, that is, how do they become conditions of the possibility of all knowledge of objects?" Is it because they are themselves elements of objective reality, or because they (...)
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  42. Gregory Shaw (1993). The Geometry of Grace : A Pythagorean Approach to Theurgy. In H. J. Blumenthal & Gillian Clark (eds.), The Divine Iamblichus: Philosopher and Man of Gods. Bristol Classical Press
     
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  43.  22
    Eve Browning Cole (1988). Demonstrating the Pythagorean Intervals. Teaching Philosophy 11 (2):128-132.
  44.  29
    G. B. Kerferd (1969). Pythagorean Pseudepigrapha Holger Thesleff: The Pythagorean Texts of the Hellenistic Period Collected and Edited. (Acta Academiae Aboensis, Ser. A, Vol. 30, Nr. 1.) Pp. Vii+266. Åbo: Akademi, 1965. Paper, Fmk. 50. [REVIEW] The Classical Review 19 (03):284-286.
  45.  6
    D. W. Mertz (1999). Balestra and the Pythagorean Methodology of Galileo and Descartes. Modern Schoolman 76 (2-3):211-219.
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  46.  1
    Oliver Primavesi (2016). Empedocles’ Cosmic Cycle and the Pythagorean Tetractys. Rhizomata 4 (1):5-29.
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  47.  35
    Richard L. Crocker (1963). Pythagorean Mathematics and Music. Journal of Aesthetics and Art Criticism 22 (2):189-198.
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  48.  21
    Norman Gulley (1964). Early Pythagorean Science Walter Burkert: Weisheit und Wissenschaft: Studien zu Pythagoras, Philolaos und Platon. (Erlanger Beiträge zur Sprach- und Kunstwissenschaft, x.) Pp. xvi+496. Nuremberg: Hans Carl, 1962. Cloth, DM. 58. [REVIEW] The Classical Review 14 (01):28-29.
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  49.  4
    Owen Goldin (2015). The Pythagorean Table of Opposites, Symbolic Classification, and Aristotle. Science in Context 28 (2):171-193.
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  50.  17
    U. S. (1979). The Pythagorean Plato. Review of Metaphysics 32 (4):762-763.
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