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By Philosopher Michael Alan Prestwood

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Was Pythagoras’ thinking flawed?

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Wed 5 Feb 2025
Published 2 years ago.
Updated 3 months ago.
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Was Pythagoras’ thinking flawed?

The short answer is yes and no. Pythagoras’ belief system often overpowered his science, yet his empirical observations stood the test of time.  This makes him a rational pragmatist—someone who accepts empirical truths but also accommodates personal beliefs, sometimes at the cost of reason. Unfortunately for his reputation, many of his personal beliefs were wrong.

The longer answer is that Pythagoras is a fascinating case study in both sound and flawed thinking as well as an interesting use case of pragmatism as defined in chapter 22 of 30 Philosophers. For my new look at pragmatism, there are three types: empirical, rational, and irrational. An empirical pragmatist is someone like me. Someone who is trying to live their life believing in no irrational ideas. In general, I believe in common things until proven wrong, but I also pay close attention to questioning everything, and like any skeptic, I keep an open mind to evaluating ideas.

Unlike empirical pragmatists, rational pragmatists like Pythagoras mix sound reasoning with personal beliefs. Some of those beliefs, like the divine nature of numbers, didn’t stand up to scrutiny. Most people are rational pragmatists. They believe in common knowledge but also hold onto the family’s religious beliefs. Most of my friends, and most people I know, are rational pragmatists, which mostly aligns with common knowledge, but they embrace things in support of their spirituality and specific religion. Beyond that, they are generally cautious about adopting ideas that lack evidence.

In contrast to both, the irrational pragmatist rejects even common truths, dismissing evidence outright. They frequently say things like “there is no such thing as truth.”

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Deep-Dive Article: Pragmatism and Pythagoras
Pythagoras (c. 570–495 BCE), ancient Greek philosopher and mathematician, founder of Pythagoreanism, known for his contributions to mathematics, mysticism, and harmonic theory.
Michael Alan Prestwood
Author & Natural Philosopher
Prestwood writes on science-first philosophy, with particular attention to the convergence of disciplines. Drawing on his TST Framework, his work emphasizes rational inquiry grounded in empirical observation while engaging questions at the edges of established knowledge. With TouchstoneTruth positioned as a living touchstone, this work aims to contribute reliable, evolving analysis in an emerging AI era where the credibility of information is increasingly contested.
The Prestwood Column
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October 2026
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