Open AccessPhilebus 23c-26d: Peras, Apeiron, and Meikton as Measure Theory
Author(s) -
George Rudebusch
Publication year - 2021
Publication title -
plato journal/plato
Language(s) - English
Resource type - Journals
eISSN - 2183-4105
pISSN - 2079-7567
DOI - 10.14195/2183-4105_22_4
Subject(s) - measure (data warehouse) , socrates , division (mathematics) , mathematical economics , mathematics , epistemology , computer science , philosophy , arithmetic , data mining
At Philebus 23c4-26d10 Socrates makes a division into three kinds: Unbounded (apeiron), Bound (peras), and Mix (meikton). I review problems for the main interpretations of Unbounded and Mix and review kinds of scales defined in abstract measurement theory. Then I take 23c4-26d10 speech by speech, interpreting the Unbounded as a kind containing partial scales, Bound as the kind containing the relations and quantities needed to turn partial scales into appropriate ratio scales, and Mix as the kind containing ratio scales appropriate for the good things that come to be in the world.