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The Biography Of The Pentagram Episode 3- Plato, Euclid, and the Philosophical Pentagram
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BIBLIOGRAPHY
PRIMARY AND CLASSICAL SOURCES
Aristotle. Metaphysics. Translated by Hugh Tredennick. Harvard University Press.
Aristotle. On the Heavens. Translated by W. K. C. Guthrie. Harvard University Press.
Diogenes Laërtius. Lives of Eminent Philosophers, Book VIII. Translated by R. D. Hicks. Harvard University Press.
Euclid. The Thirteen Books of Euclid’s Elements. Translated and edited by Thomas L. Heath. Cambridge University Press.
Iamblichus. On the Pythagorean Way of Life. Translated by John Dillon and Jackson Hershbell. Society of Biblical Literature.
Philolaus. Fragments and Testimonia, collected and discussed in Carl A. Huffman’s Philolaus of Croton.
Plato. Phaedo. In Plato: Complete Works, edited by John M. Cooper. Hackett Publishing.
Plato. Republic. Translated by C. D. C. Reeve. Hackett Publishing.
Plato. Theaetetus. Translated by M. J. Levett and revised by Myles Burnyeat. Hackett Publishing.
Plato. Timaeus. Translated by Donald J. Zeyl. Hackett Publishing.
Plotinus. The Enneads. Translated by A. H. Armstrong. Harvard University Press.
Porphyry. Life of Pythagoras. In The Pythagorean Sourcebook and Library, translated by Kenneth Sylvan Guthrie and edited by David R. Fideler. Phanes Press.
Proclus. A Commentary on the First Book of Euclid’s Elements. Translated by Glenn R. Morrow. Princeton University Press.
PYTHAGORAS AND THE PYTHAGOREAN TRADITION
Burkert, Walter. Lore and Science in Ancient Pythagoreanism. Translated by Edwin L. Minar Jr. Harvard University Press, 1972.
Huffman, Carl A. A History of Pythagoreanism. Cambridge University Press, 2014.
Huffman, Carl A. Archytas of Tarentum: Pythagorean, Philosopher and Mathematician King. Cambridge University Press, 2005.
Huffman, Carl A. Philolaus of Croton: Pythagorean and Presocratic. Cambridge University Press, 1993.
Kahn, Charles H. Pythagoras and the Pythagoreans: A Brief History. Hackett Publishing, 2001.
Riedweg, Christoph. Pythagoras: His Life, Teaching, and Influence. Cornell University Press, 2005.
Waterfield, Robin. The First Philosophers: The Presocratics and Sophists. Oxford University Press, 2000.
Zhmud, Leonid. Pythagoras and the Early Pythagoreans. Oxford University Press, 2012.
PLATO, PLATONISM, AND ANCIENT COSMOLOGY
Annas, Julia. An Introduction to Plato’s Republic. Oxford University Press, 1981.
Cornford, Francis Macdonald. Plato’s Cosmology: The Timaeus of Plato. Hackett Publishing, 1997.
Dillon, John. The Middle Platonists: 80 B.C. to A.D. 220. Cornell University Press, 1996.
Fowler, David. The Mathematics of Plato’s Academy: A New Reconstruction. Oxford University Press, 1999.
Guthrie, W. K. C. A History of Greek Philosophy, Volumes I–V. Cambridge University Press.
Johansen, Thomas Kjeller. Plato’s Natural Philosophy: A Study of the Timaeus-Critias. Cambridge University Press, 2004.
O’Meara, Dominic J. Pythagoras Revived: Mathematics and Philosophy in Late Antiquity. Oxford University Press, 1989.
Sedley, David. Creationism and Its Critics in Antiquity. University of California Press, 2007.
Wallis, Richard T. Neoplatonism. Hackett Publishing, 1995.
EUCLID, THE PENTAGON, AND GREEK MATHEMATICS
Heath, Thomas L. A History of Greek Mathematics. Dover Publications.
Heath, Thomas L. The Thirteen Books of Euclid’s Elements. Cambridge University Press.
Knorr, Wilbur Richard. The Evolution of the Euclidean Elements. D. Reidel Publishing, 1975.
Mueller, Ian. Philosophy of Mathematics and Deductive Structure in Euclid’s Elements. MIT Press, 1981.
Netz, Reviel. The Shaping of Deduction in Greek Mathematics: A Study in Cognitive History. Cambridge University Press, 1999.
Pappas, Theoni. The Joy of Mathematics. Wide World Publishing, for accessible visual discussion of pentagonal proportion and recursive geometry.
Van der Waerden, B. L. Science Awakening.
PRIMARY AND CLASSICAL SOURCES
Aristotle. Metaphysics. Translated by Hugh Tredennick. Harvard University Press.
Aristotle. On the Heavens. Translated by W. K. C. Guthrie. Harvard University Press.
Diogenes Laërtius. Lives of Eminent Philosophers, Book VIII. Translated by R. D. Hicks. Harvard University Press.
Euclid. The Thirteen Books of Euclid’s Elements. Translated and edited by Thomas L. Heath. Cambridge University Press.
Iamblichus. On the Pythagorean Way of Life. Translated by John Dillon and Jackson Hershbell. Society of Biblical Literature.
Philolaus. Fragments and Testimonia, collected and discussed in Carl A. Huffman’s Philolaus of Croton.
Plato. Phaedo. In Plato: Complete Works, edited by John M. Cooper. Hackett Publishing.
Plato. Republic. Translated by C. D. C. Reeve. Hackett Publishing.
Plato. Theaetetus. Translated by M. J. Levett and revised by Myles Burnyeat. Hackett Publishing.
Plato. Timaeus. Translated by Donald J. Zeyl. Hackett Publishing.
Plotinus. The Enneads. Translated by A. H. Armstrong. Harvard University Press.
Porphyry. Life of Pythagoras. In The Pythagorean Sourcebook and Library, translated by Kenneth Sylvan Guthrie and edited by David R. Fideler. Phanes Press.
Proclus. A Commentary on the First Book of Euclid’s Elements. Translated by Glenn R. Morrow. Princeton University Press.
PYTHAGORAS AND THE PYTHAGOREAN TRADITION
Burkert, Walter. Lore and Science in Ancient Pythagoreanism. Translated by Edwin L. Minar Jr. Harvard University Press, 1972.
Huffman, Carl A. A History of Pythagoreanism. Cambridge University Press, 2014.
Huffman, Carl A. Archytas of Tarentum: Pythagorean, Philosopher and Mathematician King. Cambridge University Press, 2005.
Huffman, Carl A. Philolaus of Croton: Pythagorean and Presocratic. Cambridge University Press, 1993.
Kahn, Charles H. Pythagoras and the Pythagoreans: A Brief History. Hackett Publishing, 2001.
Riedweg, Christoph. Pythagoras: His Life, Teaching, and Influence. Cornell University Press, 2005.
Waterfield, Robin. The First Philosophers: The Presocratics and Sophists. Oxford University Press, 2000.
Zhmud, Leonid. Pythagoras and the Early Pythagoreans. Oxford University Press, 2012.
PLATO, PLATONISM, AND ANCIENT COSMOLOGY
Annas, Julia. An Introduction to Plato’s Republic. Oxford University Press, 1981.
Cornford, Francis Macdonald. Plato’s Cosmology: The Timaeus of Plato. Hackett Publishing, 1997.
Dillon, John. The Middle Platonists: 80 B.C. to A.D. 220. Cornell University Press, 1996.
Fowler, David. The Mathematics of Plato’s Academy: A New Reconstruction. Oxford University Press, 1999.
Guthrie, W. K. C. A History of Greek Philosophy, Volumes I–V. Cambridge University Press.
Johansen, Thomas Kjeller. Plato’s Natural Philosophy: A Study of the Timaeus-Critias. Cambridge University Press, 2004.
O’Meara, Dominic J. Pythagoras Revived: Mathematics and Philosophy in Late Antiquity. Oxford University Press, 1989.
Sedley, David. Creationism and Its Critics in Antiquity. University of California Press, 2007.
Wallis, Richard T. Neoplatonism. Hackett Publishing, 1995.
EUCLID, THE PENTAGON, AND GREEK MATHEMATICS
Heath, Thomas L. A History of Greek Mathematics. Dover Publications.
Heath, Thomas L. The Thirteen Books of Euclid’s Elements. Cambridge University Press.
Knorr, Wilbur Richard. The Evolution of the Euclidean Elements. D. Reidel Publishing, 1975.
Mueller, Ian. Philosophy of Mathematics and Deductive Structure in Euclid’s Elements. MIT Press, 1981.
Netz, Reviel. The Shaping of Deduction in Greek Mathematics: A Study in Cognitive History. Cambridge University Press, 1999.
Pappas, Theoni. The Joy of Mathematics. Wide World Publishing, for accessible visual discussion of pentagonal proportion and recursive geometry.
Van der Waerden, B. L. Science Awakening.