経営数学の構想
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概要
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We hear very often that mathematics is a language. It is true, however, that mathematics might not be a science. This must be absurd. Mathematics is a symbolic logic, in other words, a logic which uses exclusively the special language known as symbols. The re-formulation of a science through deduction from a system of postulates in the way of symbolic logic, we shall call "The symbolization or axiomatization" of the science. The famous philosopher Leibniz has broken the ice through his "Characteristica universalis" and "Calculus ratiocinator." The merits of such "Symbolization," or re-formulation, by way of mathematical deduction of a science (e.g. economics), we see in three ways, namely, (1) the simplification of deduction (hence-the avoidance of errors), (2) clear and exact relationships between the postulates and conclusions, and (3) the greatly enhanced establishment of laws. Thus, the essential part of mathematical deduction is its way of deduction through symbolic logic. There are at least four managerial sciences which are affiliated with mathematical deduction. The first one is the symbolized economic science of business administration. The second one is the mathematics of management. The third one is the statistics of management, and the fourth one is the econometrics of business firms. The first and the fourth ones are the economic sciences for management, and the third one belongs to statistics, while the second belongs to mathematics. The mathematics of management consists, therefore, of two parts; namely: (1) mathematics for the family budget, and (2) mathematics for the firm; and these may be further divided as follows: [I] The mathematics for family budget (1) Consumption function (a) Analysis of consumption function (b) Engel's law (c) Schwabe's law (d) Necessities and luxuries (e) The minimum cost of living and the standard cost of living (f) The variation of the consumption function (2) Indices of cost of living (3) Forecasting of the variation of items of family expenditure [II] The mathematics for the firm (1) Mathematics for sales, including inventory analysis (2) Mathematics for labour control (3) Mathematics for finance (4) Mathematics for accounting (5) Mathematics for top-management
- 桃山学院大学の論文