Are there problems with Platonic mathematical philosophy

Plato Philosophy of mathematics

Philosophy of Mathematics in Ancient and Modern Times pp 15-26 | Cite as

First Online:


Platon (Πλάτων) was established around 428 B.C.E. born in Athens (or Aigina?). He came from an old, well respected Athenian family. At the age of about 20 he was with the then about sixty-two-year-old Socrates (Σωκράτης) known. The lawsuit against Socrates (399 B.C.E.) experienced Plato With. He was about the injustice that Socrates happened, deeply indignant and indignant. He left Athens and went to Megara Eukleidês (Εὐκλείδης) and (according to tradition) a few years later to Cyrene, where he moved from Theodôros (Θεόδωρος) introduced into mathematics. In the years 395 - 390 B.C.E. he was probably back in Athens, where he did the 'Apology' wrote and wrote his first dialogues: 'Euthyphron', 'Gorgias',' Ion ',' Criton ',' Protagoras and other.

This is a preview of subscription content, log in to check access.


  1. Platonis Opera, recognovit brevique adnotatione critica instruxit Ioannes Burnet, 5 volumes, Scriptorum Classsicorum Bibliotheca Oxoniensis, Oxford University Press, Oxford 1903.Google Scholar
  2. Plato: Complete Works, in the translations by Friedrich Schleiermacher and Hieronymus Müller with the Stephanus numbering, edited by Walter F. Otto, Ernesto Grassi and Gert Plamböck, 6 volumes. Rowohlt Verlag Hamburg 1957–1959.Google Scholar
  3. Buchmann, Klara: The position of the menon in Platonic philosophy. Philologus, Supplement Volume 29, Issue 3, Leipzig 1936. Google Scholar
  4. Fowler, D.H .: The Mathematics of Plato's Academy, a New Reconstruction. Clarendon Press Oxford 1987.zbMATHGoogle Scholar
  5. Fritz, Kurt from: Philosophy and linguistic expression in Democritus, Plato and Aristotle. Leipzig 1938. Reprint at the Wiss. Buchgesellschaft Darmstadt 1966.Google Scholar
  6. Wedberg, Anders: Plato's Philosophy of Mathematics. Almquist & Wiksell Stockholm 1955 (Reprinted by Greenwood Press Westport-Connecticut, 1977) Google Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1. Mathematical InstituteUniversity of TübingenTübingenGermany