The average human IS crazy according to comp. The smiley at the end
of your sentence is unwarranted! This is a fairly undeniable
ramification of what Bruno is telling us. If we *are* machines, why
do we go about the place denying it? Those who have understood that
computation precedes the laws of physics are the only ones who are
sane (but of course I cannot prove that, being a consistent machine!)
In my view this is where ART has a role in what we are discussing
here. Perhaps artists (composers, painters, poets etc.) are the ones
who know intuitively that we are all mad (because we don't know what
we are) and who then exploit our insanity in a creative manner to
remind us of this unconsciously.
As Salvador Dali once said "The only difference between me and a
madman is that I am not mad".
But he could not prove that either.
On 30/12/2005, at 3:33 PM, George Levy wrote:
Bruno Marchal wrote:
Godel's result, known as Godel's second incompleteness theorem,
is that no consistent machine can prove its own consistency:
IF M is consistent then M cannot prove its consistency
After I read your email, we had a gathering of family and friends,
and my head being full of the subject of this post. I wanted to
test the idea of Godel's second incompleteness theorem on the
average people just to see how they would respond. I found the
right place in the discussion to insert the paraphrase:
If I am sane, it is impossible to know for sure that I am sane.
This povoked some hilarity, especially with my kids (young adults)
who probably view me as some kind of nutty professor. While this
statement is mathematically true, it was not considered serious by
the people I was talking with. I guess that the average human has
no doubt about his own sanity.(But my kids had some doubts about
mine) One way to prove that you are crazy is to assert that you are
sane. This means that the average human is crazy! :-)