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Neither ancient nor modern

Wallis and Barrow on the composition of continua. Part one: Mathematical styles and the composition of continua

Bibliographic Data

ID20316622
AuthorsKATHERINE HILL (0000-0002-1439-8174, Institute for the History and Philosophy of Science and Technology, University of Toronto, Room 316, Victoria College, Toronto, Canada M5S 1K7, corresponding author)
EditorsAlan Hugh Cook (Institute for the History and Philosophy of Science and Technology, University of Toronto, Room 316, Victoria College, Toronto, Canada M5S 1K7)
Year1996
Volume50
Issue2
Pages165-178
Publication date1996-07-31
Open AccessYes
TypeARTICLE
VenueNotes and Records the Royal Society Journal of the History of Science (JOURNAL)
Journal identifiersISSN: 0035-9149 • E-ISSN: 1743-0178
PublisherThe Royal Society (PUBLISHER • GB)
DOI10.1098/rsnr.1996.0019
OpenAlexW1968773130
LanguageEN
Citations received4

John Wallis and Isaac Barrow were key figures in a transitional period in the development of mathematics in early modern England: their work reveals a tension between the emerging algebraic techniques and the more traditional geometric mode of thought. Both men were among the first professional mathematicians in England. Wallis studied at Cambridge, deciphered Royalist codes for Parliament during the Civil War, and was one of the secretaries to the Assembly of Divines at Westminster. He was rewarded for his support of Parliament with the Savilian Professorship of Geometry at Oxford. Barrow was also a student at Cambridge and, in 1660, was appointed Regius Professor of Greek at Trinity College. He subsequently became Professor of Geometry at Gresham College, before finally becoming the Lucasian Professor of Mathematics at Cambridge. The work of both Wallis and Barrow was at the forefront of English mathematics in the second half of the seventeenth century. But even though both enjoyed very similar educations and careers, their mathematical techniques were quite different. Wallis’s style is usually considered algebraic, while Barrow’s is considered geometric. At the same time each man’s work exhibited a similar tension between tradition and innovation - between the mathematical ideas inherited from the Greeks and the demands of the new methods and problems

Aesthetics · Archaeology · Composition (language) · Greeks · Linguistics · Mathematics education · Parliament · Period (music) · Political science · Politics · Royalist · Sociology · Style (visual arts) · Classics · Historical and Literary Studies · Historical Philosophy and Science · History · History and Theory of Mathematics · Law · Mathematics · Philosophy

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Citations per year0.15
Citation span1999 - 2020 (22)
Highly citedNo

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