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Review Essay : Mathematics Matters: On the Absence of Mathematical Models in Quantitative Sociology

Mathematics can be helpful in practically all of sociology, especially in quantitative empirical sociology. Mathematics, in general, introduces logic, simplicity and elegance into the analysis. In particular, mathematics is a fundamental base for statistical modeling. In this brief article, we do not illustrate all of the virtues that mathematics has. However, we do use a few examples to indicate how empirical research can indeed be improved by the use of mathematics. What chiefly concerns us in this paper is not the lack of mathematics in sociology as a rule, but rather the lack of mathematics in quantitative sociological analysis. Although the roots of mathematical sociology can be traced back more than a hundred years ( for a short history and overview, see Sorensen & Sorensen 19 7 51. Lazarsfeld’s Mathematical Thil1kirzg in the Social Scie1lces ( 19 5q 1 has been dated as the beginning of the modern