CID
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Introduction.
World of Difficult Problems |
Lets try to figure it
out. It is necessary that the traffic lights should be seen.
In summer the branches hide the traffic light. It is possible, of
course, to cut the branches, but they will grow again. Usually the
procedure is as follows: The traffic light pole is replaced. What
should be done to make the traffic lights be seen well if the pole not
to be replaced at all.? Lets formulate it another words.
If the traffic light
pole is replaced often, the lights will be seen well (+), but it takes
much time ().
We need the pole that
can change its size and its shape, and we dont have to replace it often.
Have you imagined such a pole? What does it look like?
Write down your answer.
________________________________________________And now, draw your attention to the definition that helped us to find the correct answer. Lets write down this definition, taking away everything that refers to the concrete problem.
Definition 1: A contradiction is a situation where
any change of the system or its parts can be considered good and bad at
the same time.
To formulate the contradiction the following form is used:
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This definition of the Contradiction helps us see the essence of a problem, the most important thing in the problem under consideration. To solve the problem means to solve the contradiction. In other words, it is necessary to preserve (+) and remove ().
Problem 2. In a Latin American country the government noticed that the merchants were concealing their profits. To increase taxes, it seemed ineffective to reinforce punishments. All the merchants were given the same forms of the bills to fill in when they sold any product. But they began to sell goods, without writing the bills (the customers didnt need the copies of the bills and didnt ask them). What should be done?
If .,Problem 3. In the presence of the police it is necessary to distribute the invitations to the secret seminar. What should be done not to attract the attention of the policemen?
then (+) ,
but ()
If .,
then (+) ,
but ()
Methods of Solving Problems Topic 1.
We wouldnt be happy if misery didnt help us
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Lesson
1.
Problem 4 . The accident in
an elevator. Four people got stuck there. Three of them are
upset, one is happy. Who is he?
Lets make a chart:
. + A student with high grades A student with low grades A teacher
So, the same incident may be considered to
be good and bad. All depends on a super-system, in which it happens.
Three piglets live in Fantasy City.Problem 5. How to see three different piglets?
Nif-Nif is a cheerful piglet;
Naf-Naf is a grumbling piglet;
Nuf-Nuf is a clever piglet.
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In order to learn how
to devise an invention, it is important to see (+) and () of any incident,
and to remove (), preserving (+).
We can change systems
with the help of the methods of image making. Lets look at these
changes through the inventors eyes:
If .,
then (+) ,
but ()
Problem 7. At the toys
factory the doll Carlson was being made. It is common knowledge
that Carlson has to fly. But at this point a contradiction has appeared.
If a small screw is made, Carlson will look like a real character and it
will be very convenient to play with him. But he wont be able to
fly. If a screw is big, the doll will fly, but it will look like
a windmill. Such a doll cant even stand on its legs. What
can be done?
If .,
then (+) ,
but ()
Lesson
2
Contradiction:
In the north it is getting dark very early. In order to light up
the room, many candles are needed. If there are many candles, (+)
the room is lighted up brightly, but () the candles are expensive, they
smoke, and they burn out quickly.
You will be surprised,
but the best solution is an ordinary electric lamp. We got used to
it and even dont notice, how our life has changed with the appearance
of the electric appliances.
Do you know what contradiction
is concealed in such a usual and convenient lamp? The lamp doesnt
burn itself, its only the spiral that burns, it consists of some special
staff. This staff gives light when it is heated, but gradually it evaporates
and, unfortunately, is quickly broken. This is a contradiction:
if an electric lamp is heated much, it (+) gives bright light, but ()
it is quickly broken. What is to be done?
Solution:
day-light luminescent lamps, in which a gas substance is burning instead
of solid, metallic spiral. The gas inside the flask can not evaporate and
break, like a spiral.
As you see, the inventions
are taking place around us. Lets look around through
the eyes of an inventor. Which contradictions have been solved in
the following systems?
- a desk;
- a book;
- scissors;
- a pencil;- a blackboard;
- an eraser;
- a pencil-case;
- shoes._________________________________________________
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Problem 8. One of
the most fascinating performances demonstrated by the lions tamers is
when a lion opens his mouth wide and a tamer places his head inside.
This performance is very dangerous because even the most obedient lion
remains a beast of prey, no matter how well he was tamed. How do
the tamers manage to demonstrate this trick?
If .,
then (+) ,
but ()
CID
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Last updated on Sept. 11, 2001. Access point: Editor: nakagawa@utc.osaka-gu.ac.jp