On 21 Oct 2013, at 20:07, meekerdb wrote:

On 10/20/2013 11:12 PM, Russell Standish wrote:
On Sun, Oct 20, 2013 at 08:09:59PM -0700, meekerdb wrote:
Consistency is []p & ~[]~p. I was saying []p & ~p, ie mistaken belief.
ISTM that Bruno equivocates and [] sometimes means "believes" and sometimes "provable".

And I'm doing the same. It's not such an issue - a mathematician will
only believe something if e can prove it.

But provable(p)==>p  and believes(p)=/=>p, so why equivocate on them?

Both provable('p') -> p, and believe('p') -> p, when we limit ourself to correct machine.

(And incidentally mathematicians believe stuff they can't prove all the time - that's how they choose things to try to prove).

Then it is a conjecture. They don't believe rationally in conjecture, when they are correct.



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