An Analogical Investigation of the Pythagorean Triangle: From a Mathematical Figure to an Ethical Praxis

Abstract

This paper exposes an alternative and juxtaposed interdisciplinary view of the Pythagorean Triangle, from a mathematical point of view to ethical applicability. Pythagorean Theorem is understood as a mathematical principle (a2+b2=c2), where the sum of the square of the shorter legs, a and b, is equal to the square of the most extended leg, the hypotenuse, c, resulted in the equation of the right triangle (Pythagorean Triangle). As an antediluvian mathematical figure, the Pythagorean Triangle's beauty and intricacy still amazed and provoked present-day thoughts. It is indubitable that the Theorem intrigues humanity's curiosity to provide proofs of the hypothesis, as well as its application. From such a viewpoint, this paper looks into the interdisciplinary applicability of the mathematical figure of the right triangle (Pythagorean Triangle). Utilizing analogical investigation, as the prime method of this research, the paper argues that the concept of the 'right triangle' could be an analogy for 'right living.' The logic behind the Pythagorean Triangle posits inherent beauty and a transcendent possibility beyond mathematics to other disciplines like ethics. The paper offers an analogical investigation of an alternative insight for the ethical problem of 'right living.' By reflecting on the presence of the existing similar feature, the right triangle (Pythagorean Triangle) could be analogically applied to 'right living.' From extant literature, the paper concludes that uprightness and balance are two essential concepts that could propose alternative ethical views by analogy to understanding what it means for 'right living.'

Received: 12 October 2020 / Accepted: 12 December 2020 / Published: 17 January 2021