The Twenty-Five Theses for Philos Sophos: A Partial Differential Equation from Mathematical Ethics’ Operators of Zhēn Xiàng for Interpolating Computerized Behavioral Flux in Economics

Abstract

It is widely recognized that the common human need for purposed decision-making requires the conscious self to develop an understanding of its relationships with time and space. This basic epistemological process includes concepts that range from infinity and individual freewill to justice and societal punishment. For millennia scholars have systematically proven zhēn xiàng and disproven mauvaise foi. Negation is said to exist where axioms of 100% probability, P, space of past or future events, E, are the set of P (E1, E2) which may be apophatic (via negativa) and cataphatic (via affirmativa). The operators of negation and antonym modify the meaning of their operands in a fuzzy logic sense. Negation of less than all operators can not produce a coherent model, E2 = (not) and so P (E2) = 0, necessary for mathematical ethics due to petitio principii. A partial differential equation template may be formed to define the moral field of a coherent set, E1 = (is) and P (E1) = 1 or 100%. For the wave application of mathematical ethics forming the moral field, the induced transcendent authority belief times the options equals the negative of the time rate of behavioral flux. The nabla symbol, ∇, represents the three-dimensional gradient operator of the possible beliefs regarding a transcendent authority for what is good and what is bad. The gradient operator represents the slope of the tangent. The divergence operator measures the volume of flux of the vector field. The curl operator describes the rotation of the vector field. E means the set of options. B represents the behavioral choices of the options. t stands for time. ∂ is the partial-derivative. Social behavioral physics is seen in the interaction of the fields of individual waves. Thus, abstract motivations that bound rationality can tangibly interpolate other data for more efficient computerized behavioral economics’ analysis.