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During the process of stepwise refinement, a notation which is natural to the problem in hand should be used as long as possible.

 

Niklaus Wirth

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The answer is in the problem, not away from the problem. I go through the searching, analysing, dissecting process, in order to escape from the problem. But, if I do not escape from the problem and try to look at the problem without any fear or anxiety, if I merely look at the problem — mathematical, political, religious, or any other — and not look to an answer, then the problem will begin to tell me. Surely, this is what happens. We go through this process and eventually throw it aside because there is no way out of it. So, why can’t we start right from the beginning, that is, not seek an answer to a problem? — which is extremely arduous, isn’t it? Because, the more I understand the problem, the more significance there is in it. To understand, I must approach it quietly, not impose on the problem my ideas, my feelings of like and dislike. Then the problem will reveal its significance. Why is it not possible to have tranquillity of the mind right from the beginning?

 

Jiddu Krishnamurti

 

"What is it that makes natural selection succeed as a solution to the problem of improbability, whereas chance and design both fail at the starting gate? The answer is that natural selection is a cumulative process, which breaks the problem of improbability up into small pieces. Each of the small pieces is slightly improbable, but not prohibitively so. (pg.153)

 

Richard Dawkins

 

...it was Darwin’s chief contribution, not only to Biology but to the whole of natural science, to have brought to light a process by which contingencies a priori improbable, are given, in the process of time, an increasing probability, until it is their non-occurrence rather than their occurrence which becomes highly improbable. ... Let the reader ... attempt to calculate the prior probability that a hundred generations of his ancestry in the direct male line should each have left at least one son. The odds against such a contingency as it would have appeared to his hundredth ancestor (about the time of King Solomon) would require for their expression forty- four figures of the decimal notation; yet this improbable event has certainly happened.

 

Ronald Fisher

 

It is important to distinguish the difficulty of describing and learning a piece of notation from the difficulty of mastering its implications. [...] Indeed, the very suggestiveness of a notation may make it seem harder to learn because of the many properties it suggests for exploration.

 

Kenneth E. Iverson

 

General Marshall was "impatient with a type of nonsense particularly prevalent in the State Department known as 'kicking the problem around.' All of us who have work with General Marshall have reported a recurring outburst of his: 'Don't fight the problem, gentlemen, solve it!' With him the time to be devoted to analysis of a problem, to balancing 'on the one hand' against 'on the other hand,' was definitely limited. The discussion he wanted was about plans of action "

 

Dean Acheson