Timeline for Was the early calculus inconsistent?
Current License: CC BY-SA 3.0
8 events
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| Apr 2, 2013 at 18:19 | comment | added | Mikhail Katz | I examined Cifoletti's footnote 29 on page 208 in detail a few months ago, and did not find anything objectionable. My conclusion was that the remark by the mathscinet reviewer is a odious misrepresentation of what Cifoletti actually wrote. | |
| Apr 2, 2013 at 13:20 | comment | added | Philip Ehrlich | Mikhail: Thanks for your comment. See my edit for my response, which is too long for a comment. | |
| Apr 2, 2013 at 13:14 | history | edited | Philip Ehrlich | CC BY-SA 3.0 |
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| Apr 2, 2013 at 8:47 | comment | added | Mikhail Katz | The 1990 book "Fermat's method: its status and diffusion" by Cifoletti (reviewed here: ams.org/mathscinet-getitem?mr=1160157) arguably belongs to "serious writings on the history of the calculus that supports the view" that Smooth Differential Geometry (SDG) of Lawvere and others is a plausible formalisation of the 17th century work of Fermat. | |
| Mar 23, 2013 at 20:53 | comment | added | Joël | Very nice answer. | |
| Mar 20, 2013 at 17:12 | comment | added | Philip Ehrlich | I do not believe John goes far toward correcting the misconception in his book "The Continuous and the Infinitesimal in Mathematics and Philosophy." Moreover, he continues to perpetuate the misconception in the Second Edition of his Primer, which came out three years after the just-named book. For my review of John's "The Continuous ...," see The Bulletin of Symbolic Logic 13 (2007), no. 3, pp. 361-363.-Philip Ehrlich | |
| Mar 20, 2013 at 16:16 | comment | added | François G. Dorais | I haven't read it, but Bell later published The Continuous and the Infinitesimal in Mathematics and Philosophy where he discusses the history of infinitesimals, perhaps in an attempt to correct the unbalanced account in his Primer of Infinitesimal Analysis. | |
| Mar 20, 2013 at 15:40 | history | answered | Philip Ehrlich | CC BY-SA 3.0 |