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Why the computer can't beat the
human
For decades chess authors, players and
columnists have tried to foresee the moment when the
chess computer finally beats the top player once and
for all. John Smith is playing Kasparov a thousand times
and is going to lose a thousand times. But little John
would have a statistical chance, even if it is very
unlikely, of winning, if only they would just play an
infinite number of games. Its then only a matter
of time, of probability and coincidence. Everyone who
knows the rules would eventually score the one crucial
point in a match of infinite duration, even a two year
old child. Clearly, the probability is extremely low
but the reality does not therefore change. If you are
Kramnik you would need two games on average to get a
point from Kasparov, if you are Michael Adams you may
need 3 games to reach the target, a Julian Hodgson may
need 5 and Harriet Hunt 10 and so on
and John Smith
with his 100 BCF may need a million games on average
but eventually he will be a winner. To make this experimental
idea reasonable and logically correct one has to see
the named player not as a real person but as an abstract
entity which never changes through getting older, feelings,
moods, tiredness, sentiments, history and so on, in
short: as a model or an eternal player.
With the chess playing computer this
hypothetical idea becomes a reality. The programmed
computer is an eternal player. It holds its strength
for all time, provided that it is without a selflearning
option and it is based on unchangeable hard- and software
parameters. But in reality those hard- and software
parameters are in a rapid development, they now calculate
an astronomical amount of moves and will multiply that
amount still further on – for the moment there
is no end to be seen. Compared with the human brain,
it looks like a very unfair competition; our calculation
capacity is biologically restricted. So it seems to
be quite logical to think, that the computer must overcome
us soon. Already in 1957 experts forecasted this event
within the next ten years, but men still are able to
play against computers successfully and success does
not automatically have to mean a win - simply a balanced
game, i.e. its still not like John Smith v Garry
Kasparov. And it will never be so! This is the thesis
of the present article.
Isnt it rather amazing that devilish
machines calculating millions and millions of moves
in only one second still cant win more games against
humans (i.e. the best of them). Even if they calculate
billions of moves, they never reach that crucial point.
And this is not because they are lacking intuition or
strategic understanding, as people still thoughtlessly
say; it is because of a sheer logic phenomenon. All
those impressive numbers, provided as argument, contain
a false conclusion: they suggest, as a sequence of numbers,
infinity. Yet chess is not an infinite game! Its possibilities
are enormous but not endless. Chess is a numerically
finite game.
On the other hand: professional chess,
because of its new scientific approach, because of the
steadily growing scientific community and, last but
not least, because of the cooperation with computers
and databases itself, has made a huge qualitative step
forward. And every step forward in a finite frame means
a step towards the absolute possibilities of the game
and we can presume that at the highest level, chess
is now coming very near that frame or border. One must
not misunderstand: this is about the qualitative not
the quantitative state of the game. There is no sense
in pointing out the still existing huge number of possible,
reasonable and still unplayed moves and positions. To
get the picture, imagine a container. The more the container
is filled the less is still available in it: in a 10
% filled container there is a relatively huge scope,
but in a 90% filled container there is a relatively
little scope. In the case of chess we can assume that
the container of possibilities will never be completely
full and, even though the frame may be slightly elastic,
were heading towards that point. The still missing
definitive success of the always becoming faster computer
is therefore a sign that the game is dangerously near
the inherent border zone. Even exponential improvements
cause in that area relatively small progress. In other
words, we have to deal with a border line phenomenon
(Grenzphänomen) as in the diagram.
If the above is correct, than we have
to face certain consequences.
Capablancas statement of the "drawing death
(Remistod) gains new meaning. The top level players
neutralize each other, not because they are highly trained
and knowledgeable – this only holds true for the
opening preparation which nowadays often extends into
the endgame – but because they have reached that
ideal zone. They can only arrive at a draw. Therefore
often it is not the case that the better player is winning
but that the weaker player is losing. With that there
is the obvious disappearance of "evergreen,
"immortal and charismatic games. True genius
moves are becoming rare; instead we find more genius
errors and their refutation. Because of the limits we
cant say who really is the best anymore (we could
do that during Morphys time and still during Fischers);
to do so we have to invent secondary parameters such
as, for instance, time (Who is the best with certain
conditions – Kasparov is the best in classic play
but would he be the best in 1 minute Blitz game or in
correspondence chess?). If two mountain climbers are
within just 100 metres of the peak of Mount Everest,
its nearly impossible to say who is the better
one, who would be able to climb the greatest height.
Now the talk of the end of chess acquires
a new meaning but with essential limitations:
1. The majority of chess players dont have to
worry; although even they are getting closer to the
peak, theyre still miles away, theyre still
in an earlier state of chess evolution.
2. This only holds true in the rather narrow frame
of the actual rules. Fischer-Random, Janus Chess and
other variants open up new countless possibilities as
new rules would do (for example to count the stalemate
as a win for the active side).
3. We cant rule out a new revolution in chess
understanding - the appearance of a new Steinitz. This
may sound absurd but initially a revolutionary idea
always sounds absurd.
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