Plato's number

Plato's number is a number enigmatically referred to by Plato in his dialogue the Republic (8.546b). The text is notoriously difficult to understand and its corresponding translations do not allow an unambiguous interpretation. There is no real agreement either about the meaning or the value of the number. It also has been called the "geometrical number" or the "nuptial number" (the "number of the bride"). The passage in which Plato introduced the number has been discussed ever since it was written, with no consensus in the debate. As for the number's actual value, 216 is the most frequently proposed value for it, but 3,600 or 12,960,000 are also commonly considered.

An incomplete list[1] of authors who mention or discourse about includes the names of Aristotle, Proclus for antiquity; Ficino and Cardano during the Renaissance; Zeller, Friedrich Schleiermacher, Paul Tannery and Friedrich Hultsch in the 19th century and further new names are currently added.[2]

Further in the Republic (9.587b) another number is mentioned, known as the "Number of the Tyrant".

  1. ^ for more names and references see Dupuis J., Le Nombre Geometrique de Platon, Paris: Hachette, 1885
  2. ^ McNamee K., and Jacovides M., Annotations to the Speech of the Muses (Plato "Republic" 546B-C), Zeitschrift für Papyrologie und Epigraphik, Bd. 144, (2003), pp. 31-50