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Anthony Stafford Beer

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There is, then, a logical priority about the arrangements, and logic has nothing to do with time.
p. 74

Anthony Stafford Beer

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The rejection process is incorporated in the concept of the negative. The negative is a judgement device. It is the means whereby one rejects certain arrangements of information. The negative is used to carry out judgement and to indicate rejection. The concept of the negative is crystallized into a definite language tool. This language tool consists of the words no and not. Once one learns the function and use of these words one has learned how to use logical thinking. The whole concept of logical thinking is concentrated in the use of this language tool. Logic could be said to be the management of NO.

Edward de Bono

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

Berkeley, as we have seen, thinks that there are logical reasons proving that only minds and mental events can exist. This view, on other grounds, is also held by Hegel and his followers. I believe this to be a complete mistake. Such a statement as “there was a time before life existed on this planet,” whether true or false, cannot be condemned on grounds of logic, any more than “there are multiplication sums which no one will have ever worked out.” To be observed, or to be a percept, is merely to have effects of certain kinds, and there is no logical reason why all events should have effects of these kinds.

George Berkely

The logical axioms are the principle of all truth. These posit an existence towards which all cognition serves. Logic is a law which must be obeyed, and man realises himself only in so far as he is logical. He finds himself in cognition. All error must be felt to be crime. And so man must not err. He must find the truth.

Otto Weininger

For generations, scientists and philosophers have tried to explain ordinary reasoning in terms of logical principles—with virtually no success. I suspect this enterprise failed because it was looking in the wrong direction: common sense works so well not because it is an approximation of logic; logic is only a small part of our great accumulation of different, useful ways to chain things together.

Marvin Minsky
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