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Of our own nation: John Wallis’s account of mathematical learning in medieval England. (English) Zbl 0993.01008

“In A treatise of algebra both historical and practical (London 1685), John Wallis wrote the first survey of the state of mathematical learning in medieval England, and discussed with particular care the arrival and significance of the Hindu-Arabic numeral system. This paper offers a detailed commentary on Wallis’s account in relation to the sources he used and the 17th-century Oxford context in which he wrote. The paper also supplements Wallis’s treatment where possible with some of the findings of modern scholarship. It therefore provides on the one hand an overview of the spread of mathematical learning into medieval England, and on the other an insight into late 17th-century historiography. Wallis pioneered several new historiographical methods and can perhaps be claimed as the first modern historian of mathematics.” [Author’s summary]
To this may be added a quotation from the final paragraph: “After Wallis’s work, mathematics could no longer be viewed in the old way as anciently revealed knowledge, sometimes lost, sometimes rediscovered, passed essentially unchanged from one civilization to the next, but as a human endeavor influenced by culture and circumstance, in which ideas spread and took root in a complex variety of ways.” Appendix I lists 17th-century collections in the Bodleian Library containing medieval material, Appendix II English sources used by Johann Gerard Vossius (1577-1629) for the historical section of his “De quatuor artibus popularibus” of 1650.
An extensive bibliography of primary and secondary literature concludes this article which represents a chapter from the author’s disseration on John Wallis; for further chapters see the review of the author’s two-part article in Notes Rec. R. Soc. Lond. 54, No. 3, 293-316, 317-331 (2000; Zbl 0983.01004).

MSC:

01A35 History of mathematics in Late Antiquity and medieval Europe
01A45 History of mathematics in the 17th century
01A85 Historiography

Citations:

Zbl 0983.01004
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References:

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