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Mathematics and Morality on the Cusp of Modernity

Peter Dear (2001)

Revue d'histoire des mathématiques

This note suggests that a fruitful way of investigating the history of mathematics lies in consideration of its pedagogical purposes. As a general illustration of the directions that such an approach might take, the paper discusses early-modern arguments for the practical utility of mathematics and its capacity to inculcate good habits of thought, as well as the appearance of new uses for mathematical training in the later eighteenth and early nineteenth centuries that served the purpose of the...

The Impact of Modern Mathematics on Ancient Mathematics

Wilbur R. Knorr (2001)

Revue d'histoire des mathématiques

In a hitherto unpublished lecture, delivered in Atlanta, 1975, W.R. Knorr reflects on historical method, its sensitivity to modern work, both in mathematics and in the philosophy of mathematics. Three examples taken from the work of Tannery, Hasse, Scholz and Becker and concerning the study of pre-euclidean geometry are discussed: the mis-described discovery of irrational ‘numbers’, the alleged foundations crisis in the 5th century B.C. and the problem of constructibility.

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