Piękno i estetyka w matematyce

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Zbyszko Melosik


The article is devoted to the concept of beauty and aesthetics in mathematics. It first analyses the assumptions of rationality and objectivity of mathematics. In the second part, the article addresses the beauty and aesthetics in mathematical thinking and indicates profound skepticism in their validity. It likewise reconstructs the aesthetic dimension of Einstein’s theory. At the end, the author considers his own approach to aesthetics of theory in social sciences.


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Melosik , Z. (2021). Piękno i estetyka w matematyce. Studia Edukacyjne, (60), 103-112. https://doi.org/10.14746/se.2021.60.6
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  1. Aharoni R., Mathematics, poetry and beauty, Journal of Mathematics and the Arts, 2014, 8, 1-2.
  2. Alsina C., Nelsen R.B., Charming Proofs: A Journey Into Elegant Mathematics, printed in U.S., 2010.
  3. Baidou A., The Praise of Mathematics, Cambridge 2016.
  4. Barković D., Challenges of Interdiscyplinary Research, Interdiscyplinary Management Research, 2010, 6.
  5. Bloch C., Passion and Paranoia: Emotions and the Culture of Emotions in Academia, London –N ew York 2016.
  6. Bos H.J.M., Lectures in the History of Mathematics, Providence 1993.
  7. Chandrasekhar S., Truth and Beauty. Aesthetics and Motivations in Science, Chicago 1987.
  8. Crease R.P., The Beauty of Equations, Proceedings of Bridges 2013: Mathematics, Music, Art,Arc hitecture, Culture, adres internetowy: https://archive.bridgesmathart.org/2013/bridges2013-19.pdf
  9. Dietiker L., What Mathematics Education Can Learn from Art: The Assumptions, Values, and Vision of Mathematics Education, Journal of Education, 2015, 195, 1.
  10. Dijkgraaf R., Truth and Beauty. The Role of Aesthetics in Mathematics and Physics, Architectural Design, September 2019, 89(5).
  11. Dong J., Study on the formal beauty of plants in interior design, Advances in Social Science, Education and Humanities Research (ASSEHR), volume 206 2018 International Conference on Advances in Social Sciences and Sustainable Development, ASSSD 2018, adres internetowy: https://www.atlantis-press.com/proceedings/asssd-18/25894466
  12. Dutton D., A Darwinian Theory of Beauty, Philosophy and Literature, October 2014, 38, 1A.
  13. Gearey A., Law and Aesthetics, Oxford 2001.
  14. Girod M., Rau C., Schepige A., Appreciating the Beauty of Science Ideas: Teaching for Aesthetic Understanding, Science Education, 2003, 87.
  15. Hache A., Physics of Hockey, Baltimore 2002.
  16. Islam A., A match not made in heaven: on the applicability of mathematics in physics, Synthese, 2017, 194(12).
  17. Livio M., Is God a Mathematician?, New York 2009.
  18. Manderson D., Songs without Music: Aesthetic Dimensions of Law and Justice, Berkeley 2000.
  19. McAllister J.W., Beauty and Revolution in Sience, New York 1996.
  20. McAllister J.W., Mathematical beauty and the evolution of the standards of mathematical proof, [w:] The Visual Mind II, red. M. Emmer, Cambridge 2005.
  21. McAllister J.W., Truth and Beauty in Scientific Reason, Synthesis, 1989, 78; adres internetowy: https://openaccess.leidenuniv.nl/bitstream/handle/1887/8123/9_057_017.pdf;sequence=1.
  22. Melosik Z., Pasja i tożsamość naukowca. O władzy i wolności umysłu, Poznań 2019.
  23. Montano U., Explaining Beauty in Mathematics: An Aesthetic Theory of Mathematics, Cham 2014.
  24. Phillips J.D., Mathematics as an Aesthetic Discipline, Humanistic Mathematics Network Journal, 1995, Issue 12; https://core.ac.uk/download/pdf/148361107.pdf.
  25. Rota G.-C., The Phenomenology of Mathematical Beauty, May, 1997, 111, 2, Proof and Progres in Mathematics; korzystano ze zmienionej wersji internetowej zamieszczonej pod adresem: http://www.liceogiuliocesare.it/public/documenti/Rota_Phenomenology_Mathematical_Beauty.pdf
  26. Ruelle D., The Mathematician’s Brain, Princeton 2007.
  27. Sinclair N., Mathematics and Beauty. Aesthetic Approach to Teaching Children, New York 2006.
  28. Stakhov A., The Mathematics of Harmony: From Euclid to Contemporary Mathematics and Computer, Singapore 2009.
  29. Testov V.A., Beauty in Mathematics: Symmetry and Fractality, Open Access Book, 2020; adres internetowy: https://www.researchgate.net/publication/340946548_Beauty_in_Mathematics_Symmetry_and_Fractality/link/5ea6e74f92851c1a90735fc3/download
  30. Todd C.S., Unmasking the Truth Beneath the Beauty: Why the Supposed Aesthetic Judgements Made in Science May Not Be Aesthetic at All, International Studies in the Philosophy of Science, 2008, 22, 1.
  31. Zeilberger D., What is Mathematics and What Should be, Dedicated to Reuben Hersh on his 90th birthday, tekst umieszczony pod adresem internetowym: https://arxiv.org/pdf/1704.05560.pdf