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Oops, I forgot to thank Michael Hardy for the feedback that he has given me on my proposed changes. His feedback made me realize that my old section was inadequate. I hope that my new section is more adequate -- I welcome your feedback on it. --[[User:RJGray|RJGray]] ([[User talk:RJGray|talk]]) 03:11, 5 August 2009 (UTC)
'''Revisions to proposed changes.''' I have added more material and restructured my proposed changes. The revised text contains the following sections:
* The article
* The proofs
* Is Cantor’s proof of the existence of transcendentals constructive or non-constructive?
* The development of Cantor's ideas
* Why does Cantor's article emphasize the countability of the algebraic numbers?
The biggest changes are the ordering of the sections, and the last two sections. Now the two mathematical sections come first. This was done for several reasons: Since the introduction is about the mathematics, it's natural that the first sections should be mathematical. Also, these two sections prepare the way for the other sections.
The last two sections are a rewrite of the old section: "Development and publication." This rewrite was necessary because I learned of the book: ''Labyrinth of Thought: A History of Set Theory and Its Role in Mathematical Thought'' by José Ferreirós. Ferreirós has a different point of view than Joseph Dauben on who influenced Cantor's article. Hence, I felt that Wikipedia's NPOV policy required that I talk about both Dauben's and Ferreirós' opinions.
Finally, various smaller edits appear in the other sections. I welcome your feedback. --[[User:RJGray|RJGray]] ([[User talk:RJGray|talk]]) 01:54, 23 January 2010 (UTC)
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