BibTeX
@MISC{Zhang05yinyangbipolar,
author = {Wen-Ran Zhang},
title = {YinYang Bipolar Cognition and Bipolar Cognitive Mapping },
year = {2005}
}
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Abstract
Modern scientific advances draw computational and reasoning power primarily from unipolar cognition. Unipolar cognition is based on unipolar logical systems defined in the unipolar space {0, 1} or [0,1]. Aristotle’s bivalent logic (300BC), Boolean logic, and fuzzy logic belong to unipolar systems. Despite of the great success of unipolar cognition, it can be argued that unipolar systems use a bottom-up approach and bipolar cognition is necessary in the understanding of micro- and/or macrocosms as equilibrium worlds with a top-down holistic approach. A computational framework is outlined in this paper for YinYang bipolar cognition and bipolar cognitive mapping. In bipolar cognition, a universe is either an equilibrium or quasior non-equilibrium. Since any n-polar equilibrium (including quasi- or non-equilibrium) can be converted to one or more bipolar equilibriums, bipolarity as a generic and inherent part of equilibrium is inseparable from bipolar truth. This bipolar worldview is originated from the ancient Chinese Daoist YinYang theory (600BC). This work introduces a family of YinYang bipolar logical systems for modeling bipolar equilibriums. A number of basic laws related to bipolar equilibrium relations are formally proved. A bipolar modal logic is proposed. The notions of life, existence, energy, stability, and a mathematical characterization of bipolar disorder are presented. Basic ideas are illustrated with bipolar cognitive mapping in international relations.
Keyphrases
bipolar cognitive mapping yinyang bipolar cognition unipolar cognition bipolar cognition unipolar system bipolar equilibrium bottom-up approach bipolar modal logic fuzzy logic belong computational framework great success top-down holistic approach ancient chinese daoist yinyang theory boolean logic aristotle bivalent logic quasior non-equilibrium basic law bipolar disorder unipolar logical system yinyang bipolar logical system n-polar equilibrium international relation bipolar equilibrium relation basic idea mathematical characterization inherent part bipolar worldview equilibrium world unipolar space modern scientific advance bipolar truth
