Is mathematical history written by the victors
Пишется ли история математики победителями?
2013-08-01
SCID: 54.1/7jsjk4hj
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FermatLeibnizhistory of mathematicsinfinitesimal mathematicsphilosophy of mathematics
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Abstract (AI)
We examine prevailing philosophical and historical views about the origin of infinitesimal mathematics in light of modern infinitesimal theories, and show the works of Fermat, Leibniz, Euler, Cauchy and other giants of infinitesimal mathematics in a new light. Some topics from the history of infinitesimals illustrating our approach appear in alphabetical order.
Key Findings
1
It offers a new interpretation of the infinitesimal work of Fermat, Leibniz, Euler, Cauchy, and other major mathematicians.
2
Its central implication is that established histories of infinitesimal mathematics may reflect victor-centered interpretations rather than a neutral account of mathematical development.
3
The paper reassesses prevailing philosophical and historical accounts of infinitesimal mathematics using insights from modern infinitesimal theories.
4
The study uses selected historical topics on infinitesimals to illustrate its revisionist approach.
Research Object
the origin and historical development of infinitesimal mathematics
Research Subject
the reevaluation of prevailing philosophical and historical interpretations in light of modern infinitesimal theories
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2013-08-01
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