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This paper offers an historical survey of problems arising in German mathematics during the rise and rule of National Socialism. Underlying this effort is the goal of developing a theoretical understanding of the social history of scientific disciplines in modern societies. The first part of the paper gives a brief description of the social system of mathematics and the characteristics of National Socialism. Second, an analysis of the background and structure of the attempt to construct a ‘German’ mathematics related to Nazi-ideology is given. This appears as an anti-modernist movement prompted by the rise of mathematical formalism. The basic relations between mathematical and political thought are analyzed and the reasons for the failure of the ‘German’ movement discussed. The third section examines the integration of mathematics into Nazi-German society, focusing on the twin processes of adaptation and resistance by professional societies. It is argued that social differentiation within the system of mathematics, as well as its modern cognitive and social universality, were preconditions of adaptation. [ABSTRACT FROM AUTHOR]

As a participant in the development of mathematical sociology over the past several decades, the author undertakes a personal and historical review of the field. A special effort is made to link early innovations and interests to recent developments. The paper deals successively with (a) the origins of mathematical sociology and its early achievements, (b) the cognitive interests and values of mathematical sociologists in relation to ideas associated with the founders of sociology, (c) the scope of mathematical contributions in terms of the general components of human action and society, and (d) the problematic specialty status of mathematical sociology. The paper concludes with some thoughts on the future of mathematical sociology. [ABSTRACT FROM AUTHOR]

Mathematical sociology in Japan was born in the mid-1970s and has actively developed since then. Mathematical sociologists in Japan have studied various topics of mathematical sociology as well as of quantitative sociology. The Japanese Association for Mathematical Sociology ( JAMS) was established in 1986. It holds semi-annual conferences and publishes Sociological Theory and Methods, its official journal. Thus, the JAMS is a platform for mathematical sociologists in Japan to present and publish papers, contributing to the institutionalization of mathematical sociology in Japan. It has also co-sponsored five joint conferences with the Section on Mathematical Sociology of the American Sociological Association. Based on these activities, mathematical sociology in Japan could be judged to be vibrant domestically and internationally; it has a bright future. I argue, however, that mathematical sociologists in Japan have tended to confine themselves to areas where mathematical modeling is relatively easy. These areas are not necessarily attractive to sociologists in other fields. I propose that mathematical sociologists in Japan should tackle social phenomena that other sociologists think are critical to sociology so that they further contribute to advances in the discipline. [ABSTRACT FROM AUTHOR]