The History of the Emergence of Symbolic Notation in Mathematics in the 17th Century and Transformation of Mathematical Practice
- Authors: Khlebalin A.V.1, Tselishchev V.V.1
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Affiliations:
- Institute of Philosophy and Law SB RAS
- Issue: Vol 1, No 1 (2020)
- Pages: 40-47
- Section: PHILOSOPHY
- URL: https://journal-vniispk.ru/2713-3125/article/view/376543
- DOI: https://doi.org/10.47850/RL.2020.1.1.40-47
- ID: 376543
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Abstract
The article analyzes the intellectual and cultural preconditions that made it possible to create symbolic notation in mathematics of the 17th century. It is shown that the reprints of Euclid’sElements in the XVI century formed an intellectual and cultural background that allowed Viet and Stevens to transform the classical concept of arithmos into a symbolic concept of number, which made the creation of symbolic notation possible. It is argued that the development of symbolic notation is not a simple change in the way of notation, but significantly changed the mathematical practice, making it possible to introduce new objects and through symbolic transformations.
About the authors
A. V. Khlebalin
Institute of Philosophy and Law SB RAS
Email: sasha_khl@mail.ru
ORCID iD: 0000-0002-3536-3974
Candidate of Philosophy, Deputy Director for Research Novosibirsk
V. V. Tselishchev
Institute of Philosophy and Law SB RAS
Email: leitval@gmail.com
Doctor of Philosophy, Professor, Scientific Director Novosibirsk
References
- Bos, H. J. M. (2001). Redefining Geometrical Exactness. New York, Springer. doi: 10.1007/978-1-4613-0087-8
- Cajori, F. (1993). A History of Mathematical Notations. Vol. 1-2. Dover Publications, INC. Mineola. New York.
- Dijksterhuis, E. J. (1970). Simon Stevin. Science in the Netherlands around 1600. Martinus Nijhoff, The Hague. Netherlands. doi: 10.1007/978-94-010-3207-0
- Klein, J. (1992). Greek Mathematical Thought and the Origin of Algebra. New York, Dover Publications.
- Malet, A. (1990). Changing notions of proportionality in pre-modern mathematics. Asclepio. Vol. 42. pp. 183-211.
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