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RAVENS, ROMANS, HUMANITY AND
BRIDGE
by Bernard Marcoux, Ste-Adèle, Québec
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A man had in his attic a crow which he wanted to get rid of.
One day he went armed with a broom.
The crow saw him coming, guessed his intentions and flew to a
nearby tree. When the man came down with his broom, the crow
went back home.
The man did not give up. He went the next day with a friend,
both armed with a broom: the raven fled on his tree. After ten
minutes, one of the two men went down while the other remained
at his post. Convinced of misleading the raven, he waited and
waited and waited. Exhausted, he finally went down, and the crow
returned home again.
Two days later, the man tried again, but this time with two
accomplices. Same result: the raven waited patiently until
everyone was back down and returned the attic.
With three accomplices, same result.
The raven, smart, just counted the people going up and waited
for the same number to come back down. However, when the man
went up with 4 people, making a total of five, the Raven was
unable to count them and the proprietor finally succeeded in his
evil plans.
You wonder of course
if I am taking you for a ride? Not at all. The
crows, like humans, are able to tally a certain number of
elements without needing to count (See Universal History of
Numbers).
What is the largest
number of elements immediately grasped by the human mind,
without the need to count? Precisely 4. That is probably why
European cities are so pleasing to the eye and their environment
seems so ... natural. The buildings of Paris, Hamburg, Munich,
Vienna, Rome, etc., generally have 4 floors plus a mezzanine.
The prehistoric
hunters used notches to count preys, but beyond 4, they found
that the calculation became confused. So they invented this
little trick to make 4 vertical bars and one horizontal across
to create groups of 5 easy to count. Just like the 4 fingers
and thumb.
In Indo-European
(language family at the origin of languages spoken today in
Europe and Asia), the first 4 numbers are declinable, that is to
say they end the same way as the word they are relied to. After
that, they are indeclinable.
In imperial Rome,
they gave a name only to the first 4 children, the fifth being
called simply the fifth (Quintilian), the seventh (Septimus) or
the eighth (Octavius). Same
for the months of the year. The Roman calendar had only 10
months, and only the first 4 bore a name: March, April, May,
June, names of Roman gods. From the 5th month, they said simply
5th month (quintiles), 6th month (Sextilis). That is why we
have September (7th), October (8th), November (9th) and December
(the 10th).
You will tell me that
there is no 5th month, since it is called July, and that the 6th
is called August. I'll answer that July was named "quintiles’’
(the 5th) until Marc-Antoine decided to rename it Julius in
honor of Julius Caesar, born in July and reformer of the
calendar in 45 BC. "Sextilis" (the 6th) became August when
Augustus, Emperor also, decided to give his name to posterity.
Our universe has 4
elements: air, land, water and fire.
There are the 4
cardinal points, the 4 seasons, the 4 corners of the world.
And then we have:
Open to the 4 winds
On all fours
Four-leaf clover
Four-letter word
(oops)
Four-minute mile
Four-seater
Foursome
Four-wheel drive
And last:
Will you make up a
four for bridge?
4, a magic number?
The hand has 4 fingers ... and an opposable thumb (which allows
us to hold the cards).
At bridge, there are
4 players, 4 colors. When we collect trumps, we don’t really
need to count: the eye sees when everybody follows. When
playing in a 4-4 fit, you pick the trumps as follows: 1st round,
4 trumps, 2nd round, 4 trumps, 3rd round, 3, and we are left
with 2. 4432, most common distribution at bridge.
When playing in a 4-4
fit, those two even numbers will produce 5 tricks.
The geometric figure
symbolizing the man is the square, 4 corners (as in the famous
drawing of Leonardo da Vinci), while the figure of the divine is
the circle (perfection). In
the drawing of Leonardo, the square is in the circle: man enters
the divine.
At
bridge, sometimes the mistakes of others (imperfect) give you
the chance to be perfect.
You play 3NT. The lead is the
heart 7, apparently top of nothing, since the rule of 11 tells
you there are 4 cards higher than the 7, and you have all 4
higher than the 7. Only Q9 are missing, so East probably has
Queen fourth.
Dummy
86
K5
K753
AQJ73
Declarer
KJ109
AJ108
108
K106
You play small in dummy, East plays the 9 and you win the Jack (not the
10, always hide your cards as declarer). You play a club to the
queen and ask for a small spade. East plays small, you play the
Jack. West wins the Ace and, without thinking, plays back a
heart. Up to this point, West hadn’t made a mistake (well,
maybe he should have ducked the spade Jack). He didn’t give you
nothing with the lead.
But, at the 4th trick, he had to think, take his time
and do what we always have to do at bridge: count. This return,
less than divine (!), gives you the opportunity for 11 tricks,
if you know how to take advantage.
At duplicate, you need to take advantage of those mistakes,
because the top generally resides in card play, not in bidding.
West demonstrated here he did not enter the circle of the
divine. Worse, he made absolutely no effort to enter the divine.
He did not think for a second, he did not count declarer’s
tricks. Bridge allows humans to enter the circle of the divine,
but only if they are willing to make the effort.
Access to the divine is not and never will be by chance. In
this, bridge enables us to equal the gods.
You win the heart return with the King in dummy, come back to
your hand with the King of clubs and… count.
East probably has 4 hearts to the Queen and also 4 spades to the
Queen, West not having lead a spade. He preferred to lead the 7
from 7xx in hearts than lead a spade from Axx. If East has
4432, with or without the Ace of diamonds, he is dead. If he
has the Ace, he will be squeezed. If he doesn’t have it, he
will be end played with the heart Queen at trick 11 and will be
forced to give you 2 spade tricks.
East therefore has probably 4432, and you have 4423. The hands
were then probably these:
Dummy
86
K5
K953
AQJ73
West
East
Axx Qxxx
7xx Q9xx
(?) xxx (?) xx
xxx xx
Declarer
KJ109
AJ108
108
K106
And we are now here:
Dummy
8
--
K953
AJ7
West
East
xx Qxx
x Qx
(?) xxx (?) xx
x --
Declarer
K109
A10
108
10
It is now time to cash the Ace of hearts (West follows,
confirming your analysis), discarding a diamond from dummy. You
then play a club to dummy and follow the discards (and signs of
discomfort) from East.
On the club to the Ace, he discards a diamond. On the following
club, another diamond. On the last club, unable to bear the
pressure, he throws his Queen of diamonds.
4 cards remain. Here is the situation created by West’s return
at trick 4.
Dummy
8
--
K95
--
West
East
x Qxx
-- Q
Axx --
- --
Declarer
K109
10
--
--
That is the end you foresaw at trick 4.
You play a spade to your 10, winning. Then the 10 of hearts to
East’s Queen. He must play back a spade, inverted stepping
stone, to the last 2 tricks, +660, top.
At bridge, if you want access the divine, we must agree to split
hairs in 4.
And some day, at trick 4, you will be able to foresee the play 4
tricks from the end. |