I have to agree with your description on almost every count. It seems accurate enough to me that we take base assumptions and observations and apply intuitive knowledge and understanding to them to reach conclusions. However, I wouldn't say that there are necessarily 'manipulation rules' as you put it, because those could never be thoroughly agreed upon. Logic isn't really a toy, it is that which is intuitive and beneficial to the user and the biggest overall group.
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What is Logic?
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What is Logic? - by chris - September 10, 2010 at 6:19 pm
RE: What is Logic? - by padraic - September 10, 2010 at 7:16 pm
RE: What is Logic? - by Watson - September 10, 2010 at 7:21 pm
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