It's said that science will dehumanize people and turn them into numbers. That's false, tragically false. Look for yourself. This is the concentration camp and crematorium at Auschwitz. This is where people were turned into numbers. Into this pond were flushed the ashes of some four million people. And that was not done by gas. It was done by arrogance, it was done by dogma, it was done by ignorance. When people believe that they have absolute knowledge, with no test in reality, this is how they behave. This is what men do when they aspire to the knowledge of gods.

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We treat ourselves both as objects of language and as speakers of language, both as objects of the symbolism and as symbols in it. And all the difficult paradoxes which go right back to Greek times and reappear in modern mathematics depend essentially on this.

I have seen in my lifetime an abyss open in the human mind: a gulf between the endeavour to be man, and the relish in being brute. The scientist has indeed had a hand in this, and every other specialist too, with his prim detachment and his oracular airs. But of course, the large strain which has opened this fault is social. We have made men live in two halves, a Sunday half and a workday one. We have ordered them to love their neighbor and to turn the other cheek, in a society which has constantly compelled them to shoulder their neighbor aside and to turn their backs. So we have created a savage sense of failure which, as we now know to our cost, can be tapped with an ease which is frightening; and which can thrust up, with explosive force, a symbol to repeat to an unhappy people its most degrading dream.

The laws of science have two functions, to be true and to be helpful; probably each of these functions includes the other. If the statistical law does both, that is all that can be asked of it. We may persuade ourselves that it is intellectually less satisfying than a causal law, and fails somehow to give us the same feeling of understanding the process of nature. But this is an illusion of habit.

In Whitehead’s view, the Middle Ages were quite as logical in their speculations about nature as we are. It is not as rationalists that we have the advantage of them; our material successes stem from joining to their logic a ruthless appeal, at each bold deductive step, back to the hard empirical facts.

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