References for Plato

  1. D J Allan, Biography in Dictionary of Scientific Biography (New York 1970-1990).
  2. Biography in Encyclopaedia Britannica. [Available on the Web]

Books:

  1. R S Brumbaugh, Plato's mathematical imagination : The mathematical passages in the Dialogues and their interpretation (Bloomington, Ind., 1954).
  2. R S Brumbaugh, The philosophers of Greece (Albany, N.Y., 1981).
  3. G C Field, Plato and His Contemporaries: A Study in Fourth-Century Life and Thought (1975).
  4. G C Field, The philosophy of Plato (Oxford, 1956).
  5. D H Fowler, The mathematics of Plato's Academy : A new reconstruction (New York, 1990).
  6. W K C Guthrie, A History of Greek Philosophy 4 (1975), 5 (1978).
  7. F Lasserre, The birth of mathematics in the age of Plato (London, 1964).
  8. J Moravcsik, Plato and Platonism : Plato's conception of appearance and reality in ontology, epistemology, and ethics, and its modern echoes (Oxford, 1992).
  9. K Reidemeister, Das exakte Denken der Griechen. Beiträge zur Deutung von Euklid, Plato, Aristoteles (Hamburg, 1949).
  10. K Reidemeister, Mathematik und Logik bei Plato, Hamburger Math. Einzelschr. 35 (1942).
  11. C J Rowe, Plato (1984).
  12. E S Stamatis,The mathematicians of Plato's Academy (Greek) (Athens, 1982).
  13. A E Taylor, Plato, the Man and His Work (7th ed., London, 1969).
  14. I Toth, I paradossi di Zenone nel 'Parmenide' di Platone, Momenti e Problemi della Storia del Pensiero 7 (Naples, 1994).
  15. A Wedberg, Plato's Philosophy of Mathematics (1977).

Articles:

  1. B Artmann and L Schäfer, On Plato's 'fairest triangles', Historia Math. 20 (3) (1993), 255-264.
  2. J d D Bares, The genesis of dimensions in Plato (Spanish), Theoria (San Sebastián) (2) 7 (16-18) (1992), 451-471.
  3. E Filloy, Geometry and the axiomatic method. III : The era of Plato and Aristotle (Spanish), Mat. Ense nanza 7-8 (1976), 39-63.
  4. G Fine, Forms as causes : Plato and Aristotle, in Mathematik und Metaphysik bei Aristoteles (Bern, 1987), 69-112.
  5. V Hösle, Platons Grundlegung der Euklidizität der Geometrie, Philologus 126 (2) (1982), 180-197.
  6. J-P Kahane, Platon et mathématique, Bull. Soc. Franco-Japon. Sci. Pures Appl. 40 (1984), 16-30.
  7. W R Knorr, Plato and Eudoxus on the planetary motions, J. Hist. Astronom. 21 (4) (1990), 313-329.
  8. T Koetsier, Negation in the development of mathematics : Plato, Lakatos, Mannoury and the history of the intermediate-value theorem in analysis, in Perspectives on negation (Tilburg, 1995), 105-121.
  9. D G Kontogiánnes and E Ntziachrestos, The geometric and didactic concepts of Plato (Greek), in Mathematics - education and applications (Nicosia, 1997), 132-138.
  10. T Krischer, Mathematische Unendlichkeit und Induktion bei Platon und Aristoteles, in Aristoteles : Werk und Wirkung 1 (Berlin-New York, 1985), 518-542.
  11. K Maurin, Plato's cave parable and the development of modern mathematics, Rend. Sem. Mat. Univ. Politec. Torino 40 (1) (1982), 1-31.
  12. R D Mohr, The number theory in Plato's 'Republic VII' and 'Philebus', Isis 72 (264) (1981), 620-627.
  13. V N Molodsii, Was Euclid a follower of Plato? (Russian), Trudy Sem. MGU Istor. Mat. Istor.-Mat. Issledov. 1949 (2) (1949), 499-504.
  14. D D Moukanos, Die Idee einer mathematischen Physik Platons, Philos. Natur. 24 (1) (1987), 78-82.
  15. A P D Mourelatos, Astronomy and kinematics in Plato's project of rationalist explanation, Stud. Hist. Philos. Sci. 12 (1) (1981), 1-32.
  16. A P D Mourelatos, Plato's science - his view and ours of his, in Science and philosophy in classical Greece, Sources Stud. Hist. Philos. Classical Sci. 2 (New York, 1991), 11-30.
  17. I Mueller, On the notion of a mathematical starting point in Plato, Aristotle, and Euclid, in Science and philosophy in classical Greece, Sources Stud. Hist. Philos. Classical Sci. 2 (New York, 1991), 59-97.
  18. M E Paiow, Die mathematische 'Theaetetsstelle', Arch. Hist. Exact Sci. 27 (1) (1982), 87-99.
  19. M Pihl, The place of Theodoros in Plato's 'Theaitetos' and the earliest history of irrational numbers (Danish), Mat. Tidsskr. A. 1951 (1951), 19-38.
  20. W Pohle, The mathematical foundations of Plato's atomic physics, Isis 62 (211) (1971), 36-46.
  21. B Russell, History of Western Philosophy (London, 1961), 112-172.
  22. K M Sayre, Propositional logic in Plato's Protagoras, Notre Dame J. Formal Logic 4 (1963), 306-312.
  23. E Stamatis, The theory of sets by Plato (Greek), Prakt. Akad. Athenon 33 (1958), 299-303.
  24. I Toth, Le problème de la mesure dans la perspective de l'être et du non-être. Zénon et Platon, Eudoxe et Dedekind : une généalogie philosophico-mathématique, in Mathématiques et philosophie de l'antiquité à l'âge classique (Paris, 1991), 21-99.
  25. R von Erhardt and E von Erhardt-Siebold, The helix in Plato's astronomy, Isis 34 (1942), 108-110.
  26. S V Zhitomirskii, The geometry of Plato's universe (Russian), Voprosy Istor. Estestvoznan. i Tekhn. (4) (1985), 104-107.

January 1999

MacTutor History of Mathematics
[http://www-history.mcs.st-andrews.ac.uk/References/Plato.html]