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May 14, 2022 at 12:01 comment added Calvin Khor You're welcome; I didn't think to connect it with Cauchy; I didn't realise this was roughly the same time period!
May 13, 2022 at 18:05 comment added Timothy Chow Thanks for this excellent citation. Perhaps the main reason that "Hardy is credited with reforming British mathematics by bringing rigour into it" is that Hardy criticized his predecessors so harshly. Reading more of this section of Divergent Series, I see that one of his main criticisms is that earlier mathematicians had a "disinclination to give formal definitions" and that "mathematicians before Cauchy asked not 'How shall we define $1-1+1-\cdots$?' but 'What is $1-1+1-\cdots$?'" Hardy's account of divergent series does indeed seem to be much more rigorous than previous accounts.
May 13, 2022 at 15:15 history edited Calvin Khor CC BY-SA 4.0
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May 13, 2022 at 14:39 history edited Calvin Khor CC BY-SA 4.0
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May 13, 2022 at 14:27 history answered Calvin Khor CC BY-SA 4.0