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,
Both provable('p') -> p, and believe('p') -> p, when we limit ourself
to correct machine.
so why equivocate on them? (And incidentally mathematicians believe
stuff they can't prove all the time - that's how they choose things
to try to prove).
Brent
But if you like to subsitute "mistaken proof" for "mistaken
belief", go ahead.
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