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Talk:Banach-Tarski Paradox (view source)
Revision as of 02:44, January 6, 2010
, 02:44, January 6, 2010→Purpose of Construction: new section
This is superb! In reply to Ed, I agree that the statement this confirms the multiplication of the loaves is over-the-top, though funny. Thanks for deleting the comedy.--[[User:Aschlafly|Andy Schlafly]] 22:53, 4 January 2010 (EST)
This is superb! In reply to Ed, I agree that the statement this confirms the multiplication of the loaves is over-the-top, though funny. Thanks for deleting the comedy.--[[User:Aschlafly|Andy Schlafly]] 22:53, 4 January 2010 (EST)
:Thanks, Andy! For the record, I didn't add the fish and loaves stuff, that appears to be users named Foxtrot and Aroth. [[User:JacobB|JacobB]] 00:53, 5 January 2010 (EST)
:Thanks, Andy! For the record, I didn't add the fish and loaves stuff, that appears to be users named Foxtrot and Aroth. [[User:JacobB|JacobB]] 00:53, 5 January 2010 (EST)
== Purpose of Construction ==
Whatever the opinions of Banach or Tarski may have been on the validity of the AoC, we can relatively sure they did not develop the Banach-Tarski construction I describe in the article to comment on the AoC, because there was already a very weird AoC-based construction which had been well-known for 19 years prior to Banach and Tarski's publication of their result. The BTP may be used today to illustrate the consequences of the AoC more easily to a layman, but the original purpose of the construction was more involved with group orbits and (perhaps?) representation theory. I hope nobody minds if I make this minor change. [[User:JacobB|JacobB]] 21:44, 5 January 2010 (EST)