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ミヨシ ヒロユキ
MIYOSHI HIROYUKI
三好 博之 所属 京都産業大学 理学部 数理科学科 職種 教授 |
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| 言語種別 | 英語 |
| 発行・発表の年月 | 2006/03 |
| 形態種別 | その他 |
| 標題 | Dynamical duality of type- and token-computation as an abstract brain |
| 執筆形態 | その他 |
| 掲載誌名 | Chaos, Solitons and Fractals |
| 巻・号・頁 | 27(5),pp.1187-1204 |
| 著者・共著者 | Yukio-Pegio Gunji,Hiroyuki Miyoshi,Tatsuji Takahashi,Moto Kamiura |
| 概要 | In brain science, there are few researches focusing on the theoretical relation between cognition (top-down processing) and perception (bottom-up processing). Philosophically they were regarded as the alternative leading to the dualism of mind and body, while it is an adequate problem for the endo-physics. Qualia are conjectured as the hard problem under those situations. To overcome such an impasse, we propose an abstract brain model featuring the dynamical duality of two parts of computations in a brain, in a term of endo-physics and internal measurement. Two parts of computations are expressed as binary relations, and the relationship between them is expressed as a pair of maps, called an infomorphism [Barwise J, Seligman J. Information flow, the logic of distributed systems. Cambridge University Press 1997]. Dynamical duality is implemented by the interaction between a binary relation and an infomorphism, and that leads to a dynamical change of a pair of binary relations. When a binary relation is expressed as a partial ordered set, one can check whether a part of computation is closed with respect to logical operations (i.e., a lattice) or not. By estimating a binary relation in terms of properties of lattice, we show that dynamical infomorphism robustly develops to a pair of logical computations corresponding to type cognition and non-logical one corresponding to qualia perception. It implies origin of differentiation and robust co-existence of type-cognition and qualia-perception. It is easy to see that dynamical infomorphism can also develop to a pair of singleton sets corresponding to savants' special cognitive style. © 2005 Elsevier Ltd. All rights reserved. |
| DOI | 10.1016/j.chaos.2005.01.067 |
| ISSN | 0960-0779 |