Talk:Cantor's first set theory article/Archive 1: Difference between revisions

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That is nonsense. The set {1, 2, 3} has the property of finiteness. The set {1, 2, 3, ...} does not. [[User:Michael Hardy|Michael Hardy]] ([[User talk:Michael Hardy|talk]]) 05:47, 22 January 2010 (UTC)
 
You wrote:
: property 3 can be reworded as "Assume R contains rational numbers". Property 4 becomes a bygone conclusion
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That is nonsense. The set of all real algrebraic numbers contains the set of all rational numbers, but does not satisfy property 4 at all. [[User:Michael Hardy|Michael Hardy]] ([[User talk:Michael Hardy|talk]]) 05:51, 22 January 2010 (UTC)