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Hi everyone!

Now I have several issues of Cryonet to deal with, and as you've noticed
I've been relatively silent.

I will discuss Mike Perry's views because in their way they bear most on 
consciousness etc. Here is the problem: no, even mathematics is not clearly
universal. Certainly it is set up so that all the theorems we prove in it
are true, but (as I said in a previous posting) in return for this we give
up the notion that it will be always APPLICABLE. That is, no one can claim
Euclidean geometry is not true, given its postulates. But by now we have
quite definitely noticed places where it ceases to be applicable at all.

But that's not the worst of it. We don't make our math in a vacuum. There's
always the attempt to make it applicable to something, even if that is 
other mathematics. A bit of history: we now think of the numbers (including
the real numbers --- called floating point numbers in computerspeak --- 
as all on one single line stretching from -infinity to +infinity). The
Greeks, who (as we would put it now) discovered the possibility of irrational
numbers, thought about these things quite differently. First, there was
the class of integers. Then, as a completely separate kind of thing, there
were the numbers we would get if we (say) measured lengths in Euclidean
geometry. These were thought of as different kinds of animal.

And now look at the issue from the standpoint of some other intelligent
race, from far far away in both time and space. Just what makes you think
that they will even have any concept of prime number? For that, for instance,
you need first the notion of integer, and also the idea that this class
of integers can sometimes divide one another and two integers can always
be multiplied together. It's not obvious that a country or people would
necessarily need that notion at all. Perhaps they would, but perhaps isn't
good enough. After all, if they wanted to measure objects, they would
not generally get results which really had integer values.  

Even our mathematics is a symbolic system which we construct. It has no
separate existence outside of us. If we find some species with whom we
can communicate using OUR mathematics it will be most likely a species 
very very close to us in history, body, physiology, etc. Even when you 
hear a mathematician saying that some piece of math is beautiful, he
betrays his humanity when he says this --- and also the human origins of
mathematics.

Admittedly, my argument has an experimental tinge to it. We could test
it (conceptually) by finding out just how several entirely separate
societies, each "technological" ie. putting a value on what we call
rationality and experiment, would develop over several thousand years.
Perhaps we will do that. If they all independently develop the same
fundamental notions of mathematics, I will stand corrected. I am saying
that we now have no reason to believe that will happen.

It may be even worse, in a way. Right now, we use computers a lot. As a
result, the way in which we express numbers in computers has become much
more prominent. Not only that, but even children may use calculators and
other such tools. If that race with which we try to communicate is 
thousands of years in advance of us, its members may have all forgotten
OUR mathematics entirely, as a quaint, primitive system their savage
ancestors used long long ago. They just might have a far better system --
better in their terms, and once we understand it, better in ours. The
growing prominence of computer versions of numbers may only be a start. 

But even that is not the end of the matter. Our mathematics does nothing
for us unless we somehow use the patterns it contains in the world we
deal with. It is when we make that correspondence that we set a meaning
to the symbols. As with any other language, that correspondence is something
WE provide. It is not inherent in the symbolic system, no matter how 
extensive it may be, nor can we assume that our correspondence will always
tell us about the world (think again about Euclidean geometry).

For Mr. Strout: No, I don't attach profound significance to the idea I 
shall explain, but have found it interesting, and you might also. You
ask how it might happen that consciousness even came into existence. Here
is a basic sketch of how: as you know, we are very highly parallel 
devices --- though our normal awareness does not give us any signs of
that. On one side (figuratively) we have many different desires, always
pulling at us. On the other side, we have our memories, our knowledge of
the world ie. our understanding of facts as separate from values and
desires. The one action which cannot be made parallel is the choice of
WHAT WE ARE TO DO, given all the parallelism in our desires and the parallelism
in our knowledge. And that is the origin of consciousness: that somewhere
in our brains, we must have SOMETHING which operates sequentially. (I do
not speak of us here as computers, because that word has too many connotations
which fail to describe us --- but many activities in our brain go in parallel,
while our consciousness operates sequentially). 

I doubt very much that any theory suggesting that "somehow" consciousness
just "arises" from a sufficiently complex machine will prove at all adequate.
After all, it leaves unexplained just how that "arises" might happen. Once
more, the magic demon inside our brain... Any theory explaining consciousness
must deal with several simple observations, which I would be amazed if you
too have not made. Our consciousness, no matter what underlies it, seems
always to exist as a continuous stream; we have no sense of difference when
we turn from looking at a tree to savoring a pancake, even though our
brain activities can change radically between them. This tells me that 
something must patch together all these different brain activities: it's
not enough to wave a wand and declare a magic unity. Second, brain research
has found that almost all our brain processing goes on without us being
conscious of it. Any theory (I'm repeating something I've said to you, now,
on Cryonet) of consciousness must not only explain how we are conscious but
also why we are unconscious of so much. 

Choice requires much more than a symbolic system. It requires desires and
alternatives. And it is that which (I suggest) led to consciousness in
our mammalian ancestors, when it first arose.

As to the Fermi paradox, it is only a paradox if you insist that there MUST 
be other civilizations out there. The simplest solution is that there are
not. (That may prove fortunate for us, indeed, if we want to lay claim to
the Galaxy). The reasons why we may be the only ones aren't hard to find,
as hypotheses. It may take longer than the average lifespan of habitability
on a planet to develop an intelligent race. It may also be that we really
are the first --- after all, some species would have to be first. Or (if
we want to become very speculative) the universe may not be the best place
for intelligence, which goes somewhere else as soon as it can. Whether   
LIFE exists elsewhere is a separate question... I suspect it does. And
I would add that the idea that we are the only civilization within 
megaparsecs remains a question to be investigated empirically, not just
accepted. One thing which has not been done so far, of course, is to look
for signs of intelligence not in this Galaxy or even local group but much
farther away... though that would require very powerful radio telescopes.

That's all for this reply. 

			Long long life,

				Thomas Donaldson

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