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Originally Posted by B~E  I'll ask this as humbly as I can: how can that be possible? I've only had a minimum of training in logics, and I'm worthless in maths, so I can't really wrap my head around this possibility of a system where 1+1 doesnt equate 2 |
You can define 1+1 to be whatever you please, but more importantly you can define axioms which construct a completely different logic system than the one you are accustomed to. Note that we can come up with any number of such systems...
For example, you are accustomed to Euclidean geometry because that seems to describe the world around us, however God could have just as easily constructed the universe as a hyperbolic one (essentially this means the internal angles of a triangle would not sum to 180, and note that this is simply a geometric system of logic I'm describing).
The importance of my question, however, is that if logic transcends the universe, then we can logically construct all other possible logic systems available to all other possible universes the creator (if there is one) could have constructed. From there some interesting observations can be made regarding creation.