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I took a stab at translating the
Leibniz passage on go. I thought it was quite interesting.
One caveat (besides the fact that I am not a translator) is that I
translated it primarily from the German and French translations, so I
can't vouch for how well it accords with the original Latin. The
German translation seems like it might be pretty close to the
original, but the French clearly takes a lot of liberties and is quite
garbled in places. Anyway, here is roughly what Leibniz had to
say.
________________________________________________________________________________________
I come now
to the account of a Chinese game, to which I will take the opportunity
to add several remarks. There are several pictorial
representations of it in a book of Chinese drawings in the
library of the famous Prussian kings in Berlin, one of which drawings
I have made an engraving of. This game is one of those that are
based on skill alone with no element of chance mixed in. It has
the peculiar feature that the players (so it seems) do not take each
other's pieces in turn, but rather corner and surround each other so
that in the end the player who takes away the other's freedom to
move wins, as it were, without murder or bloodshed. This can
happen in other games too, but here it is always the
case.
But on
this game listen to Nicolas Triglautius, in the eighth chapter of the
first book of On the Christian Expedition to China, from the
notes of Matthaeus Riccius, one of the illustrious founders of the
mission to China. He has this to say:
The most
substantial game among them is of the following type: several
people play on a board with three hundred squares [in my opinion the
word "several" must be read as meaning that the game is played on
a board with more than three hundred squares since there are only two
players; this may be the result of a Latin translator who
misinterpreted the Italian of Riccius or the French of Triglautius]
with two hundred stones, of which some are white and some are black.
With these stones each player tries to push other's stones into the
center of the board in order to control the remaining squares; at the
end, the player who controls the most squares on the board is
considered the winner.
The
magistrates are wild about this game and often spend the greater part
of their day playing at it; between skillful players a single game
takes a whole hour. Those who have mastered the game, even if
they are distinguished in no other area, are nevertheless praised and
sought after by everyone. These masters even read at the
traditional ceremonies, so that others can learn the strategy of the
game from them. (?)
Thus
Triglautius. But a visual examination of the game's design
reveals a problem with this account. Namely, that the board is a
square, with eighteen squares on a side. Therefore there are in
all eighteen times eighteen squares, that is, not three hundred, but
three hundred and twenty-four. And the rest of the description
doesn't accord well enough with the actual facts: it is obviously
not always possible or necessary for one player to push the other into
the middle of the board, since it is enough to surround your opponent,
either in the middle or in a corner. And the player who has
control of the most squares (however one wants to define this) would
not be the winner unless, after surrounding his opponent, he alone has
a free field.
Even
though we don't know all the rules, the number of stones and the
size of the board make me certain that this game requires very great
skill and is extremely difficult. Certainly, it is worth
noticing its peculiar manner of play, namely, that the point of the
game is not to destroy the opponent but rather only to push him back
across the board (unlike in our games). And one can well believe
that the creator of this game was some brahmin who abhorred killing
and wanted a victory without bloodshed. For it is known that
most of the peoples of the East Indies are in these things more
Christian than those who call themselves Christian, and as rule avoid
killing even in war.
--
Robert de Neufville
rden@xxxxxxxxxxxxxxxxx