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On Truth, Uncertainty, Equilibrium And Harmony — A Taxonomy For Yinyang Scientific Computing

Listed author(s):


    (Department of Computer Science, College of Information Technology, Georgia Southern University, Statesboro, Georgia 30460, USA)


    (Department of Electrical and Computer Engineering, Pratt School of Engineering, Duke University, Durham, NC 27708-0271, USA)



    (The Jiann-Ping Hsu College of Public Health, Georgia Southern University, Statesboro, GA, USA)



    (The Heinz School, Carnegie Mellon University, Pittsburgh, PA 15213-3890, USA)



    (Department of Computer Science, Georgia State University, Atlanta, Georgia 30203, USA)

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    Although modern scientific and technological advances derive computational power primarily from the classical evidence-based bottom-up cognition as founded by Greek philosopher Aristotle in his philosophy of science with a bivalent logic, the classical cognition, however, has met stiff challenges during the last few decades because of uncertainty faced by many new scientific endeavors. The holistic top-down nature of nanotechnology and brain modeling are just two of many examples. This new development points to the need for a critical review of the historical origins and distinctions of both top-down and bottom-up cognitions. This paper reviews the philosophy of science as founded by Aristotle (300BC), the Platonic realism as founded by Aristotle's teacher Plato (400BC-300BC), and the YinYang philosophy as founded by the ancient Chinese philosopher Laozi (or Laotze) (600BC). It is suggested that the long-standing unsettled dispute between Aristotle and Plato features a major source of uncertainty for both logic and mathematics. The authors hence propose a number of controversial philosophical and logical issues for debate. We advocate YinYang as an inspiration and unifying force for both top-down inductive and bottom-up deductive reasoning. We attempt to use an equilibrium-based YinYang bipolar dynamic logic (BDL) to bridge the gap between Aristotle and Plato as well as between logic and mathematics. Furthermore, we present a taxonomy for YinYang scientific computing with a classification of logical and statistical models for further discussion; we suggest that YinYang can be used as a catalyst for resolving certain "terminological difficulties" regarding truth, polarity, intuitionism, para-consistency, and fuzziness for equilibrium and harmony. A number of critical points are enumerated and discussed. An open challenge is posted.

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    Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal New Mathematics and Natural Computation.

    Volume (Year): 04 (2008)
    Issue (Month): 02 ()
    Pages: 207-229

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    Handle: RePEc:wsi:nmncxx:v:04:y:2008:i:02:p:207-229
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