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YinYang Bipolar Cognition and Bipolar Cognitive Mapping (Invited Paper)
Yang's Scientific Research Institute (2005)
  • Wen-Ran Zhang
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 f0;1g 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 quasi- or 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 re- lations. Copyright c ∞ 2004-2005 Yang's Scientific Research Institute, LLC. All rights reserved.

Keywords
  • YinYang bipolar cognition,
  • Bipolar cognition mapping,
  • Chinese Daoist YinYang theory,
  • Boolean logic,
  • Fuzzy logic
Disciplines
Publication Date
2005
Citation Information
Wen-Ran Zhang. "YinYang Bipolar Cognition and Bipolar Cognitive Mapping (Invited Paper)" Yang's Scientific Research Institute (2005)
Available at: http://works.bepress.com/wen-ran_zhang/22/