Abstract
Pythagoras is one of the most important scholars of all time. He made vital discoveries that continue to be applied today in various educational fields. His most influential contribution is the Pythagorean theorem, which was named after him and attained applicability in mathematical areas. He also made essential discoveries in music and astronomy, which scholars continue to explore and expand on today. This chapter examines the life of Pythagoras, especially zeroing in on the contributions that his discoveries have had on contemporary education. The study follows an in-depth historical account of Pythagoras’ discoveries and influences on early thinkers, especially Plato. Also, the chapter focuses on how Pythagoras’ theories continue to influence a variety of current educational and professional fields. A critical portrayal rests on primary and secondary sources such as history books, original writings, and academic journals. This chapter presents the need for school students to learn mathematics from a historical stance of events surrounding Pythagoras and how he developed knowledge. A cultural and contextual approach situates the learner in meaningful mathematics teaching rather than merely using the famous theorem and equation for rule-based or anecdotal problem-solving.
References
Adelstein, I. M., & Ashline, G. L. (2019). Reframing the Pythagorean theorem. The College Mathematics Journal, 50(1), 28–35. https://doi.org/10.1080/07468342.2019.1557983
Ambarsari, E. W., Awaludin, A. A. R., Suryana, A., Hartuti, P. M., & Rahim, R. (2019). Basic concept Pythagoras tree for constructing data visualization on decision tree learning. Journal of Applied Engineering Science, 17(4). https://doi.org/10.5937/jaes17-21960
Andrew, G. (2014). Parmenides, cosmology and sufficient reason. Apeiron, 47(1), 16–47.
Benakis, L. G. (2018). Byzantine musical theory (harmonics). Wisdom, 10(1), 98–104.
Bigelow, J., & Leckey, M. (2020). Raphael’s platonic vision. Journal of the American Philosophical Association, 6(4), 410–430. https://doi.org/10.1017/apa.2019.46
Bronowski, J. (2019). The music of the spheres (pp. 61–71). Chapman and Hall/CRC.
Caiazzo, I. (2021). “Pythagoras’ mistake”: The transmigration of souls in the latin middle ages and beyond. In Brill’s companion to the reception of Pythagoras and Pythagoreanism in the middle ages and the renaissance (pp. 322–349). Brill. https://doi.org/10.1163/9789004499461_012
Chapple, C. K. (2018). Animals, vegetarianism, and nonviolence. In The Routledge handbook of pacifism and nonviolence (pp. 343–354). Routledge.
Colas, G., & Colas-Chauhan, U. (2017). An 18th century Jesuit “refutation of metempsychosis” in Sanskrit. Religion, 8(9), 192.
David, C. A., & Coan, P. G. (2018). The implicit stress of eating meat. Life Research, 1(1), 9–17. https://doi.org/10.12032/life2018-0711-003
Deutsch, D. (2019). Psychology and music. In Psychology and its allied disciplines (pp. 155–194). Psychology Press.
Dillon, J. (2021). C. Huffman Aristoxenus of Tarentum: The Pythagorean precepts (how to live a Pythagorean life). Cambridge: Cambridge University Press; 2019. Pp. xii+ 636.₤ 130. 9781108425315. The Journal of Hellenic Studies, 141, 291–292. https://doi.org/10.1017/S0075426921000604
Dolgert, S. (2018). Vegetarian republic: Pythagorean themes in Plato’s republic. Proceedings of the XXIII World Congress of Philosophy, 2(2), 83–88. https://doi.org/10.5840/wcp232018221288
Edwards, G. F. (2018). Reincarnation. Rationality, and Temperance: Platonists on not eating animals: A History, 27–55.
El Naschie, M. S. (2019). On the fractal counterpart of C. Vafa’s twelve-dimensional F-theory and the A. Schoenberg twelve-tone music implicit in the standard model of high energy elementary particles. International Journal of Innovation in Science and Mathematics, 7(5), 222–230.
Fachrudin, A. D., Ekawati, R., Kohar, A. W., Widadah, S., Kusumawati, I. B., & Setianingsih, R. (2019). Ancient China history-based task to support students’ geometrical reasoning and mathematical literacy in learning Pythagoras. Journal of Physics: Conference Series, 1417(1), 012042. https://doi.org/10.1088/1742-6596/1417/1/012042
Fehér, A., Gazdecki, M., Véha, M., Szakály, M., & Szakály, Z. (2020). A comprehensive review of the benefits of and the barriers to the switch to a plant-based diet. Sustainability, 12(10), 4136.
Fischer, M. M. (2020). Ethnicity and the post-modern arts of memory (pp. 194–233). University of California Press.
Garrido, S., & Davidson, J. W. (2019). Music, nostalgia, and memory: Historical and psychological perspectives. Springer.
Guthrie, W. K. (1969). A history of Greek philosophy. III, the fifth-century enlightenment. Cambridge University Press.
Haley, G. J. (2018). The Pragmatism of food porn: Modern media as a mode of Zen perpetuation (Publication No. 10814302) [Doctoral dissertation, The University of North Carolina at Charlotte].
Heath, T. L. (1991). Greek astronomy. Courier Corporation.
Hodges, D. A. (2019). Music in the human experience: An introduction to music psychology. Routledge.
Hodson, G., & Earle, M. (2018). Conservatism predicts lapses from vegetarian/vegan diets to meat consumption (through lower social justice concerns and social support). Appetite, 120, 75–81. https://doi.org/10.1016/j.appet.2017.08.027
Katkar, L. N. (2019). Extensions of the theorem of Pythagoras. At Right Angles, 5, 11–16.
Katopodis, C. (2021). The Music of the Spheres in Emerson, Fuller, and Thoreau: Lyell’s Principles and Transcendental Listening. ISLE: Interdisciplinary Studies in Literature and Environment, 28(3), 839–867. https://doi.org/10.1093/isle/isz113
Kostelnik, K. M. (2019). Greek Music Theory vs. the Bible. Cedarville University, The Research and Scholarship 2019 Symposium.
Laks, A. (2014). Diogenes Laertius’ life of Pythagoras. In Huffman (Ed.), pp. 360–380.
Lentz, G., Connelly, S., Mirosa, M., & Jowett, T. (2018). I am gauging attitudes and behaviors: Meat consumption and potential reduction. Appetite, 127, 230–241.
Li, C. (2020). Bring back harmony in philosophical discourse: A confucian perspective. Journal of Dharma Studies, 2(2), 163–173. https://doi.org/10.1016/j.appet.2018.04.015
Linzey, A., & Linzey, C. (2018). Introduction: Vegetarianism as an ethical protest. In Ethical vegetarianism and veganism (pp. 1–16). Routledge.
Mahmud, S. (2019). A new long proof of the Pythagorean theorem. International Journal of Scientific and Innovative Mathematical Research, 7(9), 3–7. https://doi.org/10.20431/2347-3142.0709002
Maniatis, Y. N. (2009). Pythagorean Philolaus pyrocentric universe. Schole. Философское антиковедение и классическая традиция, 3(2), 401–415.
Maor, E. (2019). The Pythagorean theorem: A 4,000-year history. Princeton University Press.
McKirahan, R. D. (2011). Philosophy before Socrates: An introduction with texts and commentary. Hackett Publishing.
Mojsik, T. O. M. A. S. Z. (2017). Dicearchus (fr. 41 Mirhady) on Pythagoras’ death. Eos, 104, 47–69.
National Research Council. (2011). Climate stabilization targets: emissions, concentrations, and impacts over decades to millennia. National Academies Press.
Olney, J. (2020). The rhizome and the flower. University of California Press.
Olsen, S., Marek-Crnjak, L., He, J. H., & El Naschie, M. S. (2020). A grand unification of the sciences, art & consciousness: Rediscovering the Pythagorean Plato’s golden mean number system. Journal of Progressive Research in Mathematics, 16(2).
O’Meara, D. J. (2019). The music of philosophy in late antiquity (pp. 131–147). Routledge.
Peddie, M., Ranasinghe, C., Scott, T., Heath, A. L., Horwath, C., Gibson, R., … & Haszard, J. (2020). Dietary intake nutritional status and lifestyle of adolescent vegetarian and nonvegetarian girls in New Zealand (The SuNDiAL Project): Protocol for a clustered, cross-sectional survey. JMIR Research Protocols, 9(5), e17310. https://doi.org/10.2196/17310
Pellò, C. (2018). The lives of Pythagoras: A proposal for reading Pythagorean metempsychosis. Rhizomatic, 6(2), 135–156.
Riedweg, C. (2012). Pythagoras. Cornell University Press.
Salowey, C. A. (2004). Great Lives from History: The Ancient World, Prehistory-476 CE. Salem Press.
Schorn, S. (2018). Chapter 13: Pythagoras in the historical tradition: From Herodotus to Diodorus Siculus. In Studien zur hellenistischen Biographie und Historiographie (pp. 409–430). De Gruyter.
Teresi, D. (2010). Lost discoveries: The ancient roots of modern science – from the baby. Simon and Schuster.
Williamson, K., Satre-Meloy, A., Velasco, K., & Green, K. (2018). Climate change needs behavior change: Making a case for behavioral solutions to reduce global warming. Rare.
Wilson, R. (2018). Astronomy through the ages: The story of the human attempt to understand the universe. CRC Press.
Wirnitzer, K. C. (2018). Vegan nutrition: The latest boom in health and exercise. In Therapeutic, probiotic, and unconventional foods (pp. 387–453). Academic.
Yongdan, L. (2018). An exploration of a Tibetan lama’s study of the Pythagorean theorem in the mid-18th century. Études mongoles et sibériennes, centrasiatiques et tibétaines, 49. https://doi.org/10.4000/emscat.3565
Zhmud, L. (2012). Pythagoras and the early Pythagoreans. Oxford University Press.
Zhmud, L. (2018). Physis in the Pythagorean tradition. Philologia classica, 13(1), 50–68.
Further Reading
Bamford, C. (Ed.). (1994). Homage to Pythagoras: Rediscovering sacred science. SteinerBooks.
Fauvel, J., Flood, R., & Wilson, R. J. (Eds.). (2006). Music and mathematics: From Pythagoras to fractals. Oxford University Press on Demand.
Morrison, J. S. (1956). Pythagoras of Samos. The Classical Quarterly, 6(3/4), 135–156. http://www.jstor.org/stable/636906
Phelps, N. (2007). The longest struggle: Animal advocacy from Pythagoras to PETA. Lantern Books.
Zubkova, A., & Nani, H. (2012). Dialogues with Pythagoras. New Atlanteans.
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Cudjoe, M., Ebenezer, J. (2022). The Critical Fortunes of Pythagoras’ Probes. In: Geier, B.A. (eds) The Palgrave Handbook of Educational Thinkers . Palgrave Macmillan, Cham. https://doi.org/10.1007/978-3-030-81037-5_14-1
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