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Some Conceptual Principles with Mathematical Background for Interdisciplinary Developments in the Sciences and Beyond

In: Creative Complex Systems

Author

Listed:
  • Paul G. Mezey

    (Kyoto University
    Memorial University of Newfoundland
    Eötvös University of Budapest
    Babes-Bolyai University)

  • Masatoshi Murase

    (Kyoto University)

Abstract

This chapter discusses some of the principles of interdisciplinarity and emphasizes those principles that may provide some relevant components to a potentially unified background to many areas of natural sciences. This extension even reaches into fields that are typically regarded as humanities. The discussion focuses on the three concepts of “paradox,” “analogy,” and “fractals,” which are prevalent in the basis of our understanding of nature and related principles. Although these concepts are well defined in mathematical terms, the current description relies on limited hints towards the mathematical background and avoids detailed mathematical treatment. Emphasis is on the conceptual aspects, while some parts of the mathematical basis, relying on fuzzy sets, fuzzy logic, and a treatment of analogies using the functor model of category theory, are presented in the Appendices 1 and 2.

Suggested Citation

  • Paul G. Mezey & Masatoshi Murase, 2021. "Some Conceptual Principles with Mathematical Background for Interdisciplinary Developments in the Sciences and Beyond," Creative Economy, in: Kazuo Nishimura & Masatoshi Murase & Kazuyoshi Yoshimura (ed.), Creative Complex Systems, chapter 0, pages 129-141, Springer.
    • Handle: RePEc:spr:crechp:978-981-16-4457-3_10
    DOI: 10.1007/978-981-16-4457-3_10
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