
Two ancient classifications of sciences: Aristotle and Geminus
Author(s) -
Leonid Zhmud
Publication year - 2021
Publication title -
shole
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.191
H-Index - 6
eISSN - 1995-4336
pISSN - 1995-4328
DOI - 10.25205/1995-4328-2021-15-1-265-288
Subject(s) - epistemology , independence (probability theory) , space (punctuation) , field (mathematics) , philosophy of science , philosophy , sociology , mathematics education , mathematics , pure mathematics , linguistics , statistics
The paper examines the division of cognitive space in Antiquity as exemplified by the two most influential classifications of sciences, by Aristotle and Geminus, which underlie all subsequent classifications of scientific disciplines until the 18th century. Aristotle, considering the mathēmata in their comparison with the “first” and especially with the “second”, physical philosophy, proceeds from the independence of all three kinds of epistēmai and strives to draw the most rigid boundaries possible both between them and within the field of mathēmata. Geminus’ classification reflects the far-reaching differentiation of sciences at the end of Hellenism, when almost all of them acquired several auxiliary disciplines, theoretical or applied, and when “mathematics” became synonymous with “science.”