GCSE Mathematics by Paul Metcalf

By Paul Metcalf

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Xxii) lists nine bibliographies produced in the nineteenth century, and his list does not include important ones appearing in the journal literature, notably the bibliographies produced between 1877 and 1900 by Moritz Cantor in Zeitschrift fur Mathematik und Physik. In the twentieth century there have been four major bibliographies of the history of mathematics: Sarton (1936), Loria (1946), May (1973), and Dauben (1985). The two of greatest research value today are the last two. May's bibliography is intended to be comprehensive, and therefore lists everything of which he knew, whereas Dauben's is selective, critical, and annotated.

These authors relied principally upon their mathematical acumen and personal experiences to evaluate the published corpus of the great mathematicians, instead of examining a wider range of published and unpublished documents. One historian of science has noticed a similar trend in historical writing about the sciences (Thackray 1983, 33): Discipline history by scientists has usually been based on an individualistic epistemology, in keeping with the image of the scientist as one voyaging through strange seas of thought, alone.

Although mathematicians and historians have come to understand the value of studying professional societies, journals, prizes, institutions, funding agencies, and curricula, they have considerably less appreciation for the study of the social roots of the form and content of mathematics. This 24 Philip Kitcher and William Aspray is evidence of the firmly seated belief that mathematicians but not their ideas may be affected by external factors. This attitude is slowly beginning to change, as Daston (this volume) and others are able to demonstrate the interplay between social factors and mathematical ideas.

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