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Also, the profoundly intuitive [http://en.wikipedia.org/wiki/Trichotomy_%28mathematics%29 trichotomy] is equivalent to AC, so be careful what you call controversial. [[User:BenjB|BenjB]] 20:29, 27 January 2008 (EST)
 
Also, the profoundly intuitive [http://en.wikipedia.org/wiki/Trichotomy_%28mathematics%29 trichotomy] is equivalent to AC, so be careful what you call controversial. [[User:BenjB|BenjB]] 20:29, 27 January 2008 (EST)
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"Any proof which uses the axiom of choice can be transformed into one that doesn't"?!  Lol.  If C is the axiom of choice, then C (vacuously) proves C.  By your assertion, that proof can be 'transformed' into a proof not using C, which means you can prove C from ZF, which is a contradiction.  Really, lol.  [[User:Tomkup32|Tomkup32]] 09:26, 9 December 2009 (EST)
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