著者

OKI Sayaka

出版者

日本科学史学会

雑誌

Historia scientiarum. Second series (ISSN:02854821)

巻号頁・発行日

vol.23, no.2, pp.82-91, 2013-12-31

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The term 'mixed mathematics' originally derived from the Aristotelian framework of sciences in which mathematics treated abstract entities and could be 'mixed' with sensible properties in varying proportions. Its history is deeply concerned with major events in history of science: the mathematicians' manifesto on mathesis universalis at the end of the sixteenth century, the impact of Newtonian sciences at the end of the seventeenth century and the development of algebraic analysis in continental Europe in the latter half of the eighteenth century. The first two contributed to extending the scope of mathematics to the cognitive territory of the natural philosophers, and the third encouraged the further enlargement of its scope to the fields of engineering and even those of social human activities such as economics and demographics. It was at the beginning of the nineteenth century that the notion of 'mixed mathematics' gradually disappeared and was replaced by a set of modern terminologies.