Truth and the beautiful

In meaningful axiomatic theories in the context of objective criteria of scientific beauty

Authors

DOI:

https://doi.org/10.34024/prometeica.2024.31.16099

Keywords:

process of teaching mathematics, truth, beauty, scientific beauty, axiomatic theory, meaningful axiomatic theory, formative criterion, unifying criterion, logical criterion

Abstract

The article examines the problem of identifying truth and beauty in meaningful axiomatic theories, and the formation of these values in the process of teaching certain sections of a mathematics course of a general education school with the characteristic features of meaningful axiomatic theories.. Certain groups of criteria of scientific or mathematical beauty are considered as a factor in the formation and identification of truth and beauty.Such criteria were introduced by the Scottish philosopher Hutcheson in the 18th century, and his many followers in subsequent centuries. This work examines the formative, unifying and logical groups of objective criteria of scientific beauty. It shows that: a) formative criteria: symmetry, comparison, harmony, rhythm, applicability are more prone to the formation and identification of the beauty of objects of a meaningful axiomatic theory than the truth in it; b) unifying criteria - unity of diversity, generality, mathematical recording of scientific laws are aimed at revealing the truth in a meaningful axiomatic theory. And the beauty of objects here is determined by the connection of criteria with truth, c) logical criteria - logical rigor, clarity, simplicity, reduction of the complex to the simple are aimed at the formation and identification in a meaningful axiomatic theory of both truth and the formation and identification of the beauty of objects.

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Author Biographies

  • Hamlet S. Mikaelian, Armenian State Pedagogical University

    Hamlet S. Mikaelian
    Doctor on Pedagogical Sciences, PhD on Physical and Mathematical sciences, Professor of the Department of Mathematics and Methods of its Teaching, Head of the scientific topic "Scientific-pedagogical and value bases of the school mathematics course in the conditions of the new educational paradigm", Yerevan, Armenia.

  • Araksia Tigran Mkrtchyan, Armenian State Pedagogical University after Khachatur Abovyan

    .  

References

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Published

2024-11-29

Issue

Vol. 31 (2024): Prometeica - v 31 (11/2024 - 02/2025)

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Articles

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Copyright (c) 2024 Hamlet S. Mikaelian, Araksia Tigran Mkrtchyan

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How to Cite

S. Mikaelian, H., & Araksia Tigran Mkrtchyan. (2024). Truth and the beautiful: In meaningful axiomatic theories in the context of objective criteria of scientific beauty. Prometeica - Journal of Philosophy and Science, 31, 84-94. https://doi.org/10.34024/prometeica.2024.31.16099
Received 2024-01-07
Accepted 2024-10-14
Published 2024-11-29