Nexus Network Journal

, Volume 4, Issue 1, pp 97–110 | Cite as

The Indefinite Dyad and the Golden Section: Uncovering Plato’s Second Principle

  • Scott Olsen
The Geometer’s Angle


Scott Olsen examines the philosophy of Plato to bring to light the nature of Plato’s Second Principle, known as the Indefinite Dyad, sometimes called the Greater and the Lesser, and its relation to the Golden Section, ϕ . He responds to the challenge posed in 1983 by Kenneth Sayre, and explains how the the Indefinite Dyad can be used to derive the square roots of 2 and 3.


Scott Olsen Plato Greek philosophy Timaeus Republic Statesman indefinite dyad golden section second principle 

Copyright information

© Birkhäuser Verlag, Basel 2006

Authors and Affiliations

  1. 1.OcalaUSA

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