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  1. How Can a Line Segment with Extension Be Composed of Extensionless Points?: From Aristotle to Borel, and Beyond.Brian Reese, Michael Vazquez & Scott Weinstein - 2022 - Synthese 200 (2):1-28.
    We provide a new interpretation of Zeno’s Paradox of Measure that begins by giving a substantive account, drawn from Aristotle’s text, of the fact that points lack magnitude. The main elements of this account are the Axiom of Archimedes which states that there are no infinitesimal magnitudes, and the principle that all assignments of magnitude, or lack thereof, must be grounded in the magnitude of line segments, the primary objects to which the notion of linear magnitude applies. Armed with this (...)
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  2. Ptolemy’s Philosophy: Mathematics as a Way of Life. By Jacqueline Feke. Princeton: Princeton University Press, 2018. Pp. Xi + 234. [REVIEW]Nicholas Danne - 2020 - Metaphilosophy 51 (1):151-155.
  3. Ptolemy’s Philosophy: Mathematics as a Way of Life, Written by Jacqueline Feke.Harold Tarrant - 2020 - International Journal of the Platonic Tradition 14 (1):97-98.
  4. Euclid’s Kinds and (Their) Attributes.Benjamin Wilck - 2020 - History of Philosophy & Logical Analysis 23 (2):362-397.
    Relying upon a very close reading of all of the definitions given in Euclid’s Elements, I argue that this mathematical treatise contains a philosophical treatment of mathematical objects. Specifically, I show that Euclid draws elaborate metaphysical distinctions between substances and non-substantial attributes of substances, different kinds of substance, and different kinds of non-substance. While the general metaphysical theory adopted in the Elements resembles that of Aristotle in many respects, Euclid does not employ Aristotle’s terminology, or indeed, any philosophical terminology at (...)
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  5. Ptolemy's Philosophy: Mathematics as a Way of Life.Jacqueline Feke - 2018 - Princeton: Princeton University Press.
    The Greco-Roman mathematician Claudius Ptolemy is one of the most significant figures in the history of science. He is remembered today for his astronomy, but his philosophy is almost entirely lost to history. This groundbreaking book is the first to reconstruct Ptolemy’s general philosophical system—including his metaphysics, epistemology, and ethics—and to explore its relationship to astronomy, harmonics, element theory, astrology, cosmology, psychology, and theology. -/- In this stimulating intellectual history, Jacqueline Feke uncovers references to a complex and sophisticated philosophical agenda (...)
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  6. Ptolemy's Philosophy of Geography.Jacqueline Feke - 2018 - In René Ceceña (ed.), Claudio Ptolomeo: Geografía. Capítulos teóricos. Mexico City, CDMX, Mexico: pp. 281-326.
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  7. Meta-Mathematical Rhetoric: Hero and Ptolemy Against the Philosophers.Jacqueline Feke - 2014 - Historia Mathematica 41 (3):261-276.
    Bringing the meta-mathematics of Hero of Alexandria and Claudius Ptolemy into conversation for the first time, I argue that they employ identical rhetorical strategies in the introductions to Hero’s Belopoeica, Pneumatica, Metrica and Ptolemy’s Almagest. They each adopt a paradigmatic argument, in which they criticize the discourses of philosophers and declare epistemological supremacy for mathematics by asserting that geometrical demonstration is indisputable. The rarity of this claim—in conjunction with the paradigmatic argument—indicates that Hero and Ptolemy participated in a single meta-mathematical (...)
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  8. What Can We Know of What the Romans Knew? Comments on Daryn Lehoux’s What Did the Romans Know? An Inquiry Into Science and Worldmaking.Jacqueline Feke - 2012 - Expositions: Interdisciplinary Studies in the Humanities 6 (2):23-32.
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  9. Imagination as Self-Knowledge: Kepler on Proclus' Commentary on the First Book of Euclid's Elements.Guy Claessens - 2011 - Early Science and Medicine 16 (3):179-199.
    The Neoplatonist Proclus, in his commentary on Euclid's Elements, appears to have been the first to systematically cut imagination's exclusive ties with the sensible realm. According to Proclus, in geometry discursive thinking makes use of innate concepts that are projected on imagination as on a mirror. Despite the crucial role of Proclus' text in early modern epistemology, the concept of a productive imagination seems almost not have been received. It was generally either transplanted into an Aristotelian account of mathematics or (...)
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  10. Amazing Traces of a Babylonian Origin in Greek Mathematics. [REVIEW]Sabetai Unguru - 2008 - Isis 99:821-822.
  11. The Shaping of Deduction in Greek Mathematics: A Study in Cognitive History; The Mathematics of Plato’s Academy: A New Reconstruction. [REVIEW]J. Bergen - 2003 - Isis 94:134-136.
  12. Pappus Of Alexandria And The Mathematics Of Late Antiquity. [REVIEW]Ali Behboud - 2002 - Isis 93:102-103.
    Greek mathematics is usually seen as having reached its height in a “golden age” around 300 b.c., after which it declined, reaching a rather sad stage in late antiquity. In this latter period Pappus of Alexandria stands out as one of the last competent mathematicians, although even his Mathematical Collection has been valued by historians mainly for its wealth of information on earlier mathematical achievements. In her readable book, Serafina Cuomo sets out to correct the conventional view of mathematics in (...)
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  13. The Ancient Tradition of Geometric Problems by Wilbur Richard Knorr; Textual Studies in Ancient and Medieval Geometry by Wilbur Richard Knorr. [REVIEW]Thomas Drucker - 1991 - Isis 82:718-720.
  14. Pythagoras Revived: Mathematics and Philosophy in Late Antiquity by Dominic J. O'Meara. [REVIEW]Alexander Jones - 1991 - Isis 82:364-365.
  15. War, Mathematics, and Art in Ancient Greece.John Onians - 1989 - History of the Human Sciences 2 (1):39-62.
  16. L'architecture Du Divin: Mathematique Et Philosophie Chez Plotin Et Proclus By Annick Charles-Saget. [REVIEW]Ian Mueller - 1984 - Isis 75:415-415.
  17. The Geometry of Burning-Mirrors in Antiquity.Wilbur Knorr - 1983 - Isis 74:53-73.
  18. Philosophy of Mathematics and Deductive Structure in Euclid's Elements by Ian Mueller. [REVIEW]Erwin Neuenschwander - 1983 - Isis 74:124-126.
  19. Archimedes on the Dimensions of the Cosmos.Catherine Osborne - 1983 - Isis 74 (2):234-242.
  20. The Beginnings of Greek Mathematics by Árpád Szabó; A. M. Ungar; Les Débuts des Mathématiques Grecques by Árpád Szabó; M. Federspiel. [REVIEW]Wilbur Knorr - 1981 - Isis 72:135-136.
  21. Thekla Horowitz: Vom Logos zur Analogic Die Geschichte eines mathematischen Terminus. Pp. 198. Zurich: Hans Rohr, 1978. Paper. [REVIEW]Ivor Bulmer-Thomas - 1980 - The Classical Review 30 (2):318-318.
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  22. Archimedes in the Middle Ages. Volume II: The Translations From the Greek by William of Moerbeke by Marshall Clagett. [REVIEW]Menso Folkerts - 1979 - Isis 70:611-612.
  23. History of Ancient Mathematics--Some Reflections on the State of the Art.Sabetai Unguru - 1979 - Isis 70:555-565.
  24. The Philosophical Sense of Theaetetus' Mathematics.M. Burnyeat - 1978 - Isis 69:489-513.
  25. To the Editor.John N. Harris - 1977 - Isis 68 (4):616-617.
  26. The Secrets of Ancient Geometry--And Its Uses by Tons Brunés; Charles M. Napier. [REVIEW]H. Coxeter - 1973 - Isis 64:402-404.
  27. Greek Mathematical Thought and the Origin of Algebra by Jacob Klein. [REVIEW]C. Scriba - 1970 - Isis 61:132-133.
  28. Greek Mathematical Philosophy by Edward A. Maziarz; Thomas Greenwood. [REVIEW]H. Gericke - 1969 - Isis 60:406-406.
  29. The Significance of Some Basic Mathematical Conceptions for Physics.Salomon Bochner - 1963 - Isis 54:179-205.
  30. Anthemius of Tralles: A Study in Later Greek Geometry by G. L. Huxley. [REVIEW]J. Scott - 1961 - Isis 52:592-593.
  31. De Pythagore À Euclide. Contribution À l'Histoire des Mathématiques Preeuclidiennes by Paul-Henri Michel. [REVIEW]Carl Boyer - 1951 - Isis 42:61-63.
  32. Babylonian Mathematics.Raymond Archibald - 1936 - Isis 26:63-81.
  33. Importance of the Greek Algebraical Problems.Louis Karpinski - 1934 - Isis 22:104-105.
  34. A Manual Of Greek Mathematics By Thomas L. Heath. [REVIEW]George Sarton - 1931 - Isis 16:450-451.
  35. A History Of Greek Mathematics By Thomas Heath. [REVIEW]George Sarton - 1922 - Isis 4:532-535.