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Oh and 1+1=0 when dealing with the group Z = {0,1} Math actually has all kinds of relative cases where our standard "logic" is no longer valid. Certainly most of what we use is still based somewhere on established principles but that does not have to be the case either.

 

sorry.  had to say it. lol.  And if you notice "standard logic" here fits very well with the discription that I gave earlier.