The set of boundary points as a complex system

Masaya Yamaguti
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Masaya Yamaguti: Ryukoku Univ., Dept. of Applied Math. and Informatics

A chapter in Complexity and Diversity, 1997, pp 30-34 from Springer

Abstract: Abstract My proposal is to study boundary point set as a complex system. As an example, the boundary of Mandelbrot set is very complex whose Haussdorff dimension is proved 2 by Prof. Shishikura 1993. Next, I will explain the study of Logic by George Boole who proved the principle of Contradiction by an assumption. This shows that some border of one set is usually very complicated. Then, I will discuss many problems in Engineering Economics, Politics and Psychiatry.

Keywords: Complexity; Mathematical logic; Border set (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-4-431-66862-6_3

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DOI: 10.1007/978-4-431-66862-6_3

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