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Results tagged with infinitesimals
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user 1946
8
votes
In hyperreal field, can ln(ε) and ln(ω) be expressed as infinite sums?
Rather, one must in a sense remount calculus entirely bottom-up on the new setting, using infinitesimals, saturation, and transfer. …
- 236k
22
votes
Accepted
Are the models of infinitesimal analysis (philosophically) circular?
It is not circular for us to prove the consistency of noneuclidean geometry by providing an interpretation of noneuclidean geometry within euclidean geometry, such as with the Poincaré disk model of h …
- 236k