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

Paul G. Mezey and Masatoshi Murase ()
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Paul G. Mezey: Kyoto University
Masatoshi Murase: Kyoto University

Chapter Chapter 10 in Creative Complex Systems, 2021, pp 129-141 from Springer

Abstract: 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.

Keywords: Principle; Paradox; Analogy; Fractal; Category theory; Mathematical background (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:crechp:978-981-16-4457-3_10

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DOI: 10.1007/978-981-16-4457-3_10

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