Hint's on Problem Solving
Excerpted from the writings of
Russel Ackoff
Terms:
data, information, knowledge, understanding, and wisdom
Processed
data is information. The processing is meant to
increase its usefulness. Information is contained in descriptions:
answers to questions that begin with who, what, when, where,
and how many. Knowledge is conveyed by instructions: answers
to how-to questions. Understanding is conveyed
by explanations: answers to why questions.
Most
schools transmit information, spend less time on transmitting
knowledge (analytical thinking) and almost no time of
transmitting understanding (synthetic thinking).
Information,
knowledge, and understanding enable us to increase efficiency,
not necessarily effectiveness. Effectiveness is evaluated efficiency.
It is efficiency multiplied by value, efficiency for a valued
outcome.
Intelligence is the
ability to increase efficiency; wisdom is the ability
to increase effectiveness. Growth does not require an
increase in value; development does. Wisdom deals
with values. It involves the exercise of judgement. Evaluations
of efficiency are all based on logic. They can be done by a machine.
They are impersonal. Efficiency of an act can be described independent
of the actor. Not so for effectiveness. A judgement of the value
of an act is never independent of the judge.
Pitfalls
1.
The right information cannot be extracted from the wrong data.
Students
are taught to perform statistical operations without understanding
them. As a result, they extract misinformation from date and
cannot tell the difference between misinformation and information
produced by others. Why?
a)
Statistics provide a way of arriving at inferences from a sample
drawn in a prescribed way from a well-specified population to
that population Inferences arrived at from samples drawn in other
ways are not valid. Nevertheless, they are commonly made.
b)
Correlation analysis is one of the most frequently used ways
of processing data. It provides a measure of the association
between variables, the degree to which they tend to change in
the same or opposite directions. Unfortunately, those who find
a correlation between variables often erroneously infer that
one of them causes the changes in the other.
c)
In estimating the value of a variable, two types of error can
be made: overestimating and underestimating. One must know the
cost of the error to understand their relevance. Convention
estimating assumes that the cost of an overestimate of a specified
magnitude is equal to the cost of an underestimate of the same
magnitude.
Answering
questions or solving exercises does not teach one how to solve
problems.
An
exercise is a problem from which at least some of the information
required to formulate it is denied to the one asked to solve
it. It's possible that some relevant information has been left
out. In real life, a crucial part of problem solving is separating
relevant from irrelevant information.
A
question is an exercise from which the reason for wanting to
solve it has been removed. It is an unmotivated exercise, a problem
with no context. Nevertheless, the reasons for wanting to answer
a question determines what is the right answer to it.
Problem
Treatments
1.
Absolution consists of ignoring a problem and hoping it
will go away or solve itself.
2.
Resolution consists of doing something that yields an
outcome that is considered to be good enough: one that suffices.
Resolutions rely heavily on past experience, trial and error,
qualitative judgement, and common sense.
3.
Solution consists of doing something that yields what
is currently considered to be the best possible outcome: one
that optimizes.
4.
Dissolution consists of redesigning the entity that has
the problem or its environment so as to idealize: eliminate the
problem and enable the entity to do better in the future than
the best it can do now.
Problems
are Abstractions
Problems are not
the objects of direct experience. They are abstractions extracted
from experience by analysis. Messes are dynamic situations
that consist of complex systems of problems, not individual or
isolated problems.
A
system is a whole whose essential properties are not to be found
in any of its parts. The properties of a system derive from the
interactions of its parts, not their actions taken separately.
It follows that when a system is taken apart, it loses its essential
properties. Furthermore, when a part of a system is separated
from that system, it also loses its essential properties. Therefore
when a mess , which is a system of problems, is taken apart,
it loses its essential properties and so does each of its parts.
The behavior of a mess depends more on how the treatment of its
parts interact than on how they act independently of each other.
A partial solution to a whole system of problems is better than
a whole solution to each of its parts taken separately.
Students
of business are not taught that effective management of organized
behavior is the management of interactions, not actions. They
are taught that if they improve the performance of each part
of a corporation taken separately, the performance of the corporation
as a whole will be improved. This is absolutely false. Fortunately,
improving the performance of each part taken separately does
not necessarily make the whole perform as badly as possible.
Analysis
and Synthesis
Analysis is a three
step process: first something is taken apart, or disaggregated;
then an effort is made to understand the behavior of its parts
taken separately; finally, understanding of the parts is aggregated
in an effort to understand the whole. Analysis loses the ability
to explain the systems behavior. It cannot yield understanding,
only knowledge. For example, no amount of analysis of automobiles
will explain why drivers in America and England drive on different
sides.
Synthesis involves
three steps, but they are the inverse of those involved in analysis:
first the thing to be understood is taken to be part of a larger
whole. The larger containing whole(s) is/are identified; then
the behavior of the containing whole is explained; finally, the
understanding of the contained whole is disaggregated to explain
the behavior or properties of that part which is to be explained.
The behavior and properties of that part are explained by revealing
its role or function in the larger whole of which it is part.
Analysis reveals
the structure of a system, how it works. Its product is knowledge.
Synthesis reveals why a system has the properties it has
or works the way it does. Its product is understanding. Clearly,
we need both.
Creativity is a process
involving three steps:
1.
Identification of self imposed constraints. These consist of
one or more fundamental assumptions that appear to us to be obviously
true, on which our choice of behavior is based, and which significantly
reduce the range of choices available to us.
2.
Denial of the validity of the assumption(s) identified
3.
Exploration of the consequences of such denial.
Copyright
2005, Robert I. Winer, M.D.
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