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===The proofs===
*<s>I'm confused about the sourcing for these subsections, other than the parts which are direct rephrasing of Cantor's article. In particular, it seems like there should be inline citations somewhere for the table in the first proof, the closed interval simplification in the second proof and the entirety of the example of Cantor's construction.</s>
===The development of Cantor's ideas===
*<s>"[[Liouville_number#Liouville_numbers_and_transcendence|Liouville's theorem that there are transcendental numbers]]" — Is this the same theorem mentioned above that there exist infinitely many transcendental numbers in any closed interval? Or an earlier theorem of Liouville's? If it's the same theorem, the link probably belongs under its first mention (and rephrasing to connect the two mentions would be good); if not, ignore me.</s>
===The disagreement about Cantor's existence proof===
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:Your observations have led to this very significant improvement of the article. This together with your other suggestions prove that you've done an excellent job as a Good Article reviewer. In the next few days, I plan to finish working through your remaining suggestions. —[[User:RJGray|RJGray]] ([[User talk:RJGray|talk]]) 23:14, 14 August 2018 (UTC)
::I'm very happy with the new version, and glad that you appreciate my comments. The article is in pretty good shape! Just a couple of small things left. <span class="nowrap">— '''[[User:Bilorv|Bilorv]]'''<sub>[[Special:Contribs/Bilorv|(c)]][[User talk:Bilorv|('''talk''')]]</sub></span> 00:06, 15 August 2018 (UTC)
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