The Development of the Ancient theories of Proportions
The Development of the Ancient theories of Proportionsm
Author(s): Zbigniew KrólSubject(s): Ancient Philosphy, Philosophy of Science
Published by: Instytut Filozofii i Socjologii Polskiej Akademii Nauk
Keywords: Proportions; ancient mathematics; ancient philosophy; history of mathematics; Euclid; Eudoxus; Theaetetus;
Summary/Abstract: This paper is devoted to the reconstruction of the development of ancient theories of proportion. I argue that the development of ancient theories of proportion was motivated by the quest for one general mathematical theory and by inquiries of the mutual relations between the highest principles of Plato’s protology: the One (i.e. that which is arithmetical) and the Dyad (i.e. that which is geometrical). Six main types of the theory of proportion are analyzed, with a historical, mathematical and philosophical background.
Journal: Archiwum Historii Filozofii i Myśli Społecznej
- Issue Year: 56/2011
- Issue No: 56
- Page Range: 9-31
- Page Count: 23
- Language: English
