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Logic, n. The art of thinking and reasoning in strict accordance with the limitations and incapacities of the human misunderstanding.

 

Ambrose Bierce

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Not knowing what one is looking for is pure agony. Too much analytical thinking, too much logic, too many meanings! Life has no logic, so why does there have to be logic to explain what it means? Also, what is logic? I think I may need to break away from analytical thinking; this is the cause of all my anxieties.

 

Gao Xingjian

 

Whenever logical processes of thought are employed— that is, whenever thought for a time runs along an accepted groove— there is an opportunity for the machine. Formal logic used to be a keen instrument in the hands of the teacher in his trying of students' souls. It is readily possible to construct a machine which will manipulate premises in accordance with formal logic, simply by the clever use of relay circuits. Put a set of premises into such a device and turn the crank, and it will readily pass out conclusion after conclusion, all in accordance with logical law, and with no more slips than would be expected of a keyboard adding machine.

 

Vannevar Bush

 

After some years of muddled thinking on the subject, he suddenly saw quite clearly what it was he had been running away from; why he had refused Sandy's first invitation, an what the trouble had been with Charles. It was also the trouble, he perceived, with nine-tenths or the people here tonight. They were specialists. They had not merely accepted their limitations, as Laurie was ready to accept his, loyal to his humanity if not to his sex, and bringing an extra humility to the hard study of human experience. They had identified themselves with their limitations; they were making a career of them. They had turned from all other reality, and curled up in them snugly, as in a womb.

 

Mary Renault

 

Since reasoning, or inference, the principal subject of logic, is an operation which usually takes place by means of words, and in complicated cases can take place in no other way: those who have not a thorough insight into both the signification and purpose of words, will be under chances, amounting almost to certainty, of reasoning or inferring incorrectly.

 

John Stuart Mill

 

We need heuristic reasoning when we construct a strict proof as we need scaffolding when we erect a building.

 

George Polya