Search

This paper focuses on the scholastic approach to the intensity of complexions and presents some evidence as to how the meaning of complexio evolved in fourteenth-century Italian medicine: namely, how it was conceptualized, visualized, and finally quantified. In the first part, I summarize the philosophical development of complexio, pointing out how the concept differs from simple mixtures, thereby allowing for the mathematisation of compounds and their intensity. I then move on to consider the links between medicine and mathematics and present the schemes provided by Gentile Gentili da Foligno (1280/90 - 1348) as a case study, analysing their philosophical premises and implications for medical treatment more generally. In the final part, I argue that, quite aside from representing early forms of the mathematisation of qualities, schemata and diagrams also captured the medieval ideal of the cosmos, a hierarchical progression of forms ordered in ascending degrees of perfection and nobility. [ABSTRACT FROM AUTHOR]

This paper will consider the range of British participation in mathematics internationally during the nineteenth century through an analysis of British mathematical contributions to scientific journals outside of Britain. Viewing scientific papers contained in journals as significant indicators of research, we consider scientists who authored or read and responded in print to papers in a given area within a given group of journals to constitute a publication community. The extent of publication by British mathematicians in these journals can help characterize the role of foreign publication in nineteenth-century British mathematics. Moreover, the isolation of educational, societal, and personal circumstances which motivated British mathematicians to present their work to foreign journals highlights limited but concentrated groups of mathematicians committed to developing and strengthening international mathematical ties with Britain. [ABSTRACT FROM AUTHOR]

The foundations of analysis offered by Cauchy and Riemann were not immediately welcomed by the mathematical community. Before 1870 the foundations of mathematics were considered more or less a national affair. In this paper, Dutch ideas of rigour in analysis between 1840 and 1870 will be discussed. These ideas show that Dutch mathematicians were aware of developments abroad but preferred the concept of infinitesimals as a foundation of mathematics. [ABSTRACT FROM AUTHOR]

The coming of mathematicians to the United States fleeing the spread of Nazism presented a serious problem to the American mathematical community. The persistence of the Depression had endangered the promising growth of mathematics in the United States. Leading mathematicians were concerned about the career prospects of their students. They (and others) feared that placing large numbers of refugees would exacerbate already present nationalistic and anti Semitic sentiments. The paper surveys a sequence of events in which the leading mathematicians reacted to the foreign-born and to the spread of Nazism, culminating in the decisions by the American Mathematical Society to found the journal Mathematical reviews and to form a War Preparedness Committee in September 1939. The most obvious consequence of the migration was an enlarged role for applied mathematics. [ABSTRACT FROM AUTHOR]