On 12/17/2012 1:15 PM, Quentin Anciaux wrote:
ISTM that consistency is the fact that you can't have contradiction.
In some logics you're allowed to have contradictions, but the rules of inference don't permit you to prove everything from a contradiction. I think they are then called 'para-consistent'.
Incompletness that you can't prove every proposition.
No, incompleteness is you can't prove every true proposition. Which implies there is some measure of 'true' other than 'provable'.
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