A Leibniz/NSA comparison
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866910620136243200 |
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| author | Katz, Mikhail G. Kuhlemann, Karl Sherry, David |
| author_facet | Katz, Mikhail G. Kuhlemann, Karl Sherry, David |
| contents | We present some similarities between Leibnizian and Robinsonian calculi, and address some objections raised by historians. The comparison with NSA facilitates our appreciation of some Leibnizian procedures that may otherwise seem obscure. We argue that Leibniz used genuine infinitesimals and infinite quantities which are not merely stenography for Archimedean Exhaustion and that Leibniz's procedures therefore find better proxies in NSA than in modern Weierstrassian mathematics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_17154 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Leibniz/NSA comparison Katz, Mikhail G. Kuhlemann, Karl Sherry, David History and Overview 01A61, 26E35 We present some similarities between Leibnizian and Robinsonian calculi, and address some objections raised by historians. The comparison with NSA facilitates our appreciation of some Leibnizian procedures that may otherwise seem obscure. We argue that Leibniz used genuine infinitesimals and infinite quantities which are not merely stenography for Archimedean Exhaustion and that Leibniz's procedures therefore find better proxies in NSA than in modern Weierstrassian mathematics. |
| title | A Leibniz/NSA comparison |
| topic | History and Overview 01A61, 26E35 |
| url | https://arxiv.org/abs/2409.17154 |