Infinitesimals without logic
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Publication:455512
DOI10.1134/S1061920810020032zbMath1264.26035arXiv0909.3954OpenAlexW3103287392MaRDI QIDQ455512
J. Herrera, D. Rodríguez-Gómez
Publication date: 22 October 2012
Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0909.3954
Related Items (9)
A Burgessian critique of nominalistic tendencies in contemporary mathematics and its historiography ⋮ Who gave you the Cauchy-Weierstrass tale? The dual history of rigorous calculus ⋮ A Cauchy-Dirac delta function ⋮ Ten misconceptions from the history of analysis and their debunking ⋮ New topologies on Colombeau generalized numbers and the Fermat-Reyes theorem ⋮ Categorical frameworks for generalized functions ⋮ Calculus in the ring of Fermat reals. I: Integral calculus ⋮ Fermat-Reyes method in the ring of Fermat reals ⋮ Topological and algebraic structures on the ring of Fermat reals
Cites Work
- A ring homomorphism is enough to get nonstandard analysis
- A purely algebraic characterization of the hyperreal numbers
- Differential geometry, Lie groups and symmetric spaces over general base fields and rings
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