--- David Clark <[EMAIL PROTECTED]> wrote:

> I could care less about Turing machines or infinite memories.  If you want
> to create an AGI, you will have to use real life computers and real life
> software, not imaginary musings.

I will try one more time to explain why a computer with finite memory cannot
simulate itself and why this is important to AGI.

Suppose machine A has 1 MB of memory and machine B has 2 MB.  They may have
different instruction sets.  You have a program written for A but you want to
test it on B to see if it will work on A.  So you write a program on B that
simulates A.  Your simulator has to include a 1 MB array to represent A's
memory.  You load the test program in this array, simulate running A's
instructions and get the output that you would have gotten on A.

If you reversed the roles, you could not do it because you would need to
declare a 2 MB array on a computer with only 1 MB of memory.  The best you
could do is simulate a machine like B but with a smaller memory.  For some
test programs you will get the same answer, but for others your simulation
will get an out of memory error, whereas the real program would not.  This is
a probabilistic model.  It is useful, but not 100% accurate.

Now suppose you wanted to simulate A on A.  (You may suspect a program has a
virus and want to see what it would do without actually running it).  Now you
have the same problem.  You need an array to reprsent your own memory, and it
would use all of your memory with no space left over for your simulator
program.  This is true even if you count disk and virtual memory, because that
has to be part of your simulation too.

Why is this important to AGI?  Because the brain is a computer with finite
memory.  When you think about how you think, you are simulating your own
brain.  Whatever model you use must be a simplified approximation, because you
don't have enough memory to model it exactly.  Any such model cannot give the
right answer every time.  So the result is we perceive our own thoughts as
having some randomness, and this must be true whether the brain is
deterministic or not.


-- Matt Mahoney, [EMAIL PROTECTED]

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