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The set of boundary points as a complex system

In: Complexity and Diversity

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  • Masaya Yamaguti

    (Ryukoku Univ., Dept. of Applied Math. and Informatics)

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.

Suggested Citation

  • Masaya Yamaguti, 1997. "The set of boundary points as a complex system," Springer Books, in: Eiichi Ryoku Nakamura & Kiyoshi Kudo & Osamu Yamakawa & Yoichi Tamagawa (ed.), Complexity and Diversity, pages 30-34, Springer.
    • Handle: RePEc:spr:sprchp:978-4-431-66862-6_3
    DOI: 10.1007/978-4-431-66862-6_3
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