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*"The proof of Cantor's second theorem does not state why some limits exist. The proof he was using does." — I don't quite understand either of these sentences. My understanding from reading the paper is that Cantor implicitly invokes what I would describe as the [[Monotone convergence theorem|Monotonic Sequence Theorem]] to deduce that <math>\alpha^\infty</math> and <math>\beta^\infty</math> exist. Does this bullet point mean that Cantor is using this without statement, but requires it for his claims? Or that Cantor didn't explain this bit but the editor added in an explanation? Or something completely different?
*Is the 1870 Heine article relevant to Cantor or his work (e.g. a close friend / publication on a similar topic)? Is the point here that Kronecker is delaying publication in the journal because of his finitist views? (If so, add a few words to spell this out.)
*<s>"Cantor chose "On a Property of the Collection of All Real Algebraic Numbers,"" — I would put the German title here and then the English in parentheticals (pedantic, but the German name is what Cantor was really choosing).</s>
===The legacy of Cantor's article===
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::Okay, fair enough. <span class="nowrap">— '''[[User:Bilorv|Bilorv]]'''<sub>[[Special:Contribs/Bilorv|(c)]][[User talk:Bilorv|('''talk''')]]</sub></span> 22:54, 5 August 2018 (UTC)
: Concerning "Cantor chose 'On a Property of the Collection of All Real Algebraic Numbers':" Put German title first as recommended.
::Thanks! <span class="nowrap">— '''[[User:Bilorv|Bilorv]]'''<sub>[[Special:Contribs/Bilorv|(c)]][[User talk:Bilorv|('''talk''')]]</sub></span> 21:06, 6 August 2018 (UTC)
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