On 12/17/2012 4:31 PM, meekerdb wrote:

On 12/17/2012 1:15 PM, Quentin Anciaux wrote:ISTM that consistency is the fact that you can't have contradiction.## Advertising

In some logics you're allowed to have contradictions, but the rules ofinference 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. Whichimplies there is some measure of 'true' other than 'provable'.Brent

`Is there a logic that does not recognize a proposition to be true`

`or false unless there is an accessible proof for it? Accessible is hard`

`for me to define canonically, but one could think of it as being able to`

`build a model (via constructive or none constructive means) of the`

`proposition with a theory (or some extension thereof) that includes the`

`proposition.`

`I am trying to see if we can use the way that towers of theories`

`are allowed by the incompleteness theorems...`

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