JIANG Xing-yao. On the Unified Schema of Paradoxes[J]. Journal of Beijing University of Technology, 2002, 28(1): 87-90.
    Citation: JIANG Xing-yao. On the Unified Schema of Paradoxes[J]. Journal of Beijing University of Technology, 2002, 28(1): 87-90.

    On the Unified Schema of Paradoxes

    • We give an abstract paradox in mathematical language. Let F be a bijection from set A to set B. Denote M=aA|aF∉(a). If in a theory that MB is legitimate (or reasonable), then the question mM? becomes a paradox in that theory. This abstract paradox also can be regarded as unified schema for all paradoxes we have hnown. To get various concrete paradoxes we only need to give sets A, B and map F proper explanation. From the unified schema we find the common essential cause of all paradoxes, which creates a premise to solve the paradox problem satisfactorily.
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