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Talk:Elementary proof (view source)

Revision as of 05:17, April 10, 2012

396 bytes added ,  05:17, April 10, 2012
→‎Unique square root of -1 necessary for complex analysis: I would never doubt that complex numbers can be useful. So are approximations, estimates, predictions about the future, intuition, and ..
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::::::: There are people who define God to be the universe, or physical law, or the first cause, or the essence of goodness, or something similar. To a mathematician, such a definition could indeed serve to define God and to prove that he exists. [[User:RSchlafly|RSchlafly]] 20:38, 8 April 2012 (EDT)
 
::::::: There are people who define God to be the universe, or physical law, or the first cause, or the essence of goodness, or something similar. To a mathematician, such a definition could indeed serve to define God and to prove that he exists. [[User:RSchlafly|RSchlafly]] 20:38, 8 April 2012 (EDT)
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:::::::: Responding to Frederick, I would never doubt that complex numbers can be useful.  So are approximations, estimates, predictions about the future, intuition, and prayer.  The issue is whether a mathematical proof that resorts to use of complex numbers is as rigorous as an [[elementary proof]].  The answer is obviously "no".--[[User:Aschlafly|Andy Schlafly]] 01:17, 10 April 2012 (EDT)
    
Slightly off-topic, but you might be interested in physical evidence for complex numbers. According to this new paper [http://arxiv.org/abs/1204.1858], imaginary numbers are the most crucial difference between classical and quantum mechanics. [[User:RSchlafly|RSchlafly]] 20:50, 9 April 2012 (EDT)
 
Slightly off-topic, but you might be interested in physical evidence for complex numbers. According to this new paper [http://arxiv.org/abs/1204.1858], imaginary numbers are the most crucial difference between classical and quantum mechanics. [[User:RSchlafly|RSchlafly]] 20:50, 9 April 2012 (EDT)
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