期刊
NEW MATHEMATICS AND NATURAL COMPUTATION
卷 4, 期 2, 页码 207-229出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S1793005708001033
关键词
Bottom-up reasoning; top-down reasoning; bipolar holistic cognition; truth and uncertainty; equilibrium and harmony; YinYang scientific computing
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
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