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Re: Matheology § 154: Consistency Proof!
Posted:
Nov 21, 2012 8:10 AM
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For a teacher of calculus you have a very
naive view of limits. It is not enough to
give a an infinite process and declare a limit.
Eg, Process I
1,2,3,4,...
2,1,3,4,...
1,2,3,4,...
2,1,3,4,...
1,2,3,4,...
2,1,3,4,...
...
There is no limit. So you can't say "In the limit
3 does not move"
You also talk about "the" limit as if there were
only one.
Consider
2,3,2,3,...
Two possible limits
No limit (elements are real numbers)
{ {}, {{}} } (elements are sets of ordinals)
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