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:::::I think the problem is a lack of imprecision when using words like "same" or "equal". In mathematics such terms have very precisely defined meanings and so to say that all groups of order three are the same or are equal (or, equivalently, to say that "there is only one group of order 3") is not to say that all such groups are the same in all respects (obviously, this isn't true or they would all have the same name/description and we wouldn't even doubt there were more than one such group), but instead only says that all such groups behave similarly in all the ways that are (currently) important to mathematicians. When dealing with real world situations like mathematical aptitude and gender, it's much easier to speak imprecisely (either mistakenly or maliciously) and thus much more plausible that some suggested equivalences are the result of liberal bias and not some underlying similarities. I just don't see how that is possible, however, in the realm of mathematics, at least with respect to homomorphisms.  
 
:::::I think the problem is a lack of imprecision when using words like "same" or "equal". In mathematics such terms have very precisely defined meanings and so to say that all groups of order three are the same or are equal (or, equivalently, to say that "there is only one group of order 3") is not to say that all such groups are the same in all respects (obviously, this isn't true or they would all have the same name/description and we wouldn't even doubt there were more than one such group), but instead only says that all such groups behave similarly in all the ways that are (currently) important to mathematicians. When dealing with real world situations like mathematical aptitude and gender, it's much easier to speak imprecisely (either mistakenly or maliciously) and thus much more plausible that some suggested equivalences are the result of liberal bias and not some underlying similarities. I just don't see how that is possible, however, in the realm of mathematics, at least with respect to homomorphisms.  
 
:::::This is getting a bit off topic, but if Andy and you are right and (liberal?) universities improperly equate the aptitude of men and women (by analogy, posit a homomorphism between men and women), we shouldn't conclude that the positing of all equivalences is liberal bias (by analogy, that homomorphisms are the result of liberal bias), but instead should conclude that universities are mistaken and that no such equivalence exists in this case (by analogy, there is no homomorphism between a group of order 3 and a group of order 4, say).--[[User:JustinD|JustinD]] 17:01, 26 February 2012 (EST)
 
:::::This is getting a bit off topic, but if Andy and you are right and (liberal?) universities improperly equate the aptitude of men and women (by analogy, posit a homomorphism between men and women), we shouldn't conclude that the positing of all equivalences is liberal bias (by analogy, that homomorphisms are the result of liberal bias), but instead should conclude that universities are mistaken and that no such equivalence exists in this case (by analogy, there is no homomorphism between a group of order 3 and a group of order 4, say).--[[User:JustinD|JustinD]] 17:01, 26 February 2012 (EST)
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:::::Again though, the university claims more than "these sets have similar group structures on them," and goes so far as to insist that there is no reason to distinguish between them.  [[User:Bogart12|Bogart12]]
    
== Examples of Liberal Math ==
 
== Examples of Liberal Math ==
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:::::Liberals kept Godel from obtaining tenure at most university math departments, and ostracized him in other ways.  [[Bertrand Russell]], a leading leftist of that time, was humiliated by Godel's insight, which was conservative in how it debunked intellectual arrogance.--[[User:Aschlafly|Andy Schlafly]] 19:33, 26 February 2012 (EST)
 
:::::Liberals kept Godel from obtaining tenure at most university math departments, and ostracized him in other ways.  [[Bertrand Russell]], a leading leftist of that time, was humiliated by Godel's insight, which was conservative in how it debunked intellectual arrogance.--[[User:Aschlafly|Andy Schlafly]] 19:33, 26 February 2012 (EST)
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:::::Exactly Andy, Whitehead and Russell were both in the middle of trying to "prove" everything when Godel administered a much-needed dose of humility. [[User:Bogart12|Bogart12]]
    
===Carbon Dating===  
 
===Carbon Dating===  
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