Article ID: CBB376012753

In Defence of Geometrical Algebra (2016)

unapi

The geometrical algebra hypothesis was once the received interpretation of Greek mathematics. In recent decades, however, it has become anathema to many. I give a critical review of all arguments against it and offer a consistent rebuttal case against the modern consensus. Consequently, I find that the geometrical algebra interpretation should be reinstated as a viable historical hypothesis.

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Citation URI
https://data.isiscb.org/isis/citation/CBB376012753/

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Authors & Contributors
Gray, Jeremy
Lê, François
Haffner, Emmylou
Rommevaux-Tani, Sabine
Weber, Heinrich
Wall, G. E.
Journals
Revue d'Histoire des Mathématiques
Notices of the American Mathematical Society
Ziran Kexueshi Yanjiu (Studies in the History of Natural Sciences)
Revue d'Histoire des Sciences
Metascience: An International Review Journal for the History, Philosophy and Social Studies of Science
Historical Records of Australian Science
Publishers
Librarie Philosophique J. Vrin
Springer-Verlag
Joseph Henry Press
American Mathematical Society
Concepts
Algebraic geometry
Mathematics
Algebra
Geometry
Philosophy of mathematics
Number theory; number concept
People
Descartes, René
Grothendieck, Alexandre
Castelnuovo, Guido
Abel, Niels Henrik
Pappus of Alexandria
Fermat, Pierre de
Time Periods
19th century
20th century, early
20th century
17th century
Renaissance
Enlightenment
Places
Italy
Baghdad (Iraq)
France
Australia
Institutions
University of Chicago
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