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Line 148:
Line 148: − − :::Ed, to save you some work I got that article done for you.--[[User:JohnKat|JohnKat]] 21:21, 4 December 2008 (EST)
→Deleted: remove comment intended to insult a senior editor's intelligence.
:: Sorry about that, Ed. Thanks for your efforts.--[[User:Aschlafly|Aschlafly]] 19:39, 4 December 2008 (EST)
:: Sorry about that, Ed. Thanks for your efforts.--[[User:Aschlafly|Aschlafly]] 19:39, 4 December 2008 (EST)
==Guises==
==Guises==
Regarding the use of "guises" in the Instruction section, this is totally legit. When students begin using the Axiom of Choice, they are rarely told that it is the Axiom of Choice, and rarer still are they told the bizarre consequences and debate over the axiom. I myself was taught Zorn's Lemma first, and freely used it before I took some set theory and learned about the Axiom of Choice. Calling it a guise reflects the atmosphere of concealing the true nature of Zorn's Lemma in order to get students to use it and think it's not so bad. That wears down their suspicions for when they learn about the truly strange implications of the AC. It's not a bad analogy to compare it to drug dealers who get you hooked, and then you won't know how you could have done mathematics without it. To water this section down by simply stating that Zorn's Lemma is equivalent, is to ignore the pedagogical deception that is occuring (intentionally or unintentionally). -[[User:Foxtrot|Foxtrot]] 05:06, 5 December 2008 (EST)
Regarding the use of "guises" in the Instruction section, this is totally legit. When students begin using the Axiom of Choice, they are rarely told that it is the Axiom of Choice, and rarer still are they told the bizarre consequences and debate over the axiom. I myself was taught Zorn's Lemma first, and freely used it before I took some set theory and learned about the Axiom of Choice. Calling it a guise reflects the atmosphere of concealing the true nature of Zorn's Lemma in order to get students to use it and think it's not so bad. That wears down their suspicions for when they learn about the truly strange implications of the AC. It's not a bad analogy to compare it to drug dealers who get you hooked, and then you won't know how you could have done mathematics without it. To water this section down by simply stating that Zorn's Lemma is equivalent, is to ignore the pedagogical deception that is occuring (intentionally or unintentionally). -[[User:Foxtrot|Foxtrot]] 05:06, 5 December 2008 (EST)