MB> ...Or, put another way, there must be some contextual designator
 MB> external to the equation to complete any function. Therefore, for _any_
 MB> function (F), (F) cannot prove itself.  That is the first of the three
 MB> premises of Godel's Incompleteness Theorem.
 WE> Recent focus has been on problems which, tho theoretically solvable,
 WE> cannot actually be done even with supercomputers. They haven't actually
 WE> proved the existence of such, but it has been proven that the whole
 WE> bunch of such problems are equivalent in the sense that if one is
 WE> actually solvable, they all are.
 DB> And, if they all are?
 MB> They all _are_.  But who is the evaluator?  Who will be the contextual
 MB> designator external to every equation possible?  Not us puny humans, I
 MB> bet.
 DB> I will take your bet Mark.  There is a mental tool in the computer that
 DB> will do for the mind what the jet plane does for the body.  No longer do
 DB> I have to fill my head with the trivia of phone numbers of all my
 DB> correspondents. no longer do I have to think much about my tax forms,
 DB> checkbook, any number of other routine tasks.
 DB> Now, some of the mental energy once wasted on such trivia is available
 DB> for deeper considerations.  At what point will the limit of those
 DB> considerations be put? We have never had the like before, so the depth
 DB> remains unplumbed. I am not asking some super computer; I am trying to
 DB> make one in my own head. I have tried meditation and chemical compounds
 DB> that some see as a risk to my sanity, which may well be, but which have
 DB> in the long retrospective of my life proved to be useful to get to
 DB> realizations not attainable in any other way.
 DB> Like my desktop computer, I tinker with my mind, trying to get it run
 DB> more smoothly- I have risked some serious crashes in this endeavor, but
 DB> the results of stressing the system to limits teaches me more about it.
 DB> Obviously not something to recommend to anyone else; if you have another
 DB> tool use it.
   As usual, Day, your reports of the search, always underway on the part of
thinkers, are interesting, fascinating and honest to the core.  At least you
do not set insights forward in some imperial way as though you had conquered
the cosmos and obliterated the horizons (bounds).  I believe you know that a
leap WITHIN being cannot be, for us humans, a leap BEYOND being, only, 
erhaps
a little bit clearer insight into the being or which we are participating 
ith
our entire personal existence.  
     I value your reports.  They transcend age.
Sincerely, 
                                     Frank
                                                                              
                                                       
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