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Samuel R. Delany

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If everything, everything were known, statistical estimates would be unnecessary. The science of probability gives mathematical expression to our ignorance, not to our wisdom.

 
Samuel R. Delany

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A dream is by definition a series of sensations that occur in the brain when both our senses of perception and our powers of will and reason are in abeyance, so that we have no control over that flux of sensations. But it is, of course, a well-known phenomenon that when we dream that we are dreaming, the dream ends and we awaken. Then the conscious mind takes over and we are again responsible for our thoughts, and must face a day in which we must be responsible for our actions, which, by their wisdom or folly, may determine the rest of our lives. Our dreams may give expression, pleasant or painful, to our subconscious desires or fears. But in our waking hours we must, if we are rational, make our decisions on the basis of the most objective and cold-blooded estimates that we can make: estimates of the forces and tendencies in the world about us; estimates of the realities with which we must deal; remembering always that nothing is likely to happen just because we think it's good, or unlikely to happen just because we think it's evil.

 
Revilo P. Oliver
 

The definition of random in terms of a physical operation is notoriously without effect on the mathematical operations of statistical theory because so far as these mathematical operations are concerned random is purely and simply an undefined term. The formal and abstract mathematical theory has an independent and sometimes lonely existence of its own. But when an undefined mathematical term such as random is given a definite operational meaning in physical terms, it takes on empirical and practical significance. Every mathematical theorem involving this mathematically undefined concept can then be given the following predictive form: If you do so and so, then such and such will happen.

 
Walter A. Shewhart
 

...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
 

Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts. For with all the variety of mathematical knowledge, we are still clearly conscious of the similarity of the logical devices, the relationship of the ideas in mathematics as a whole and the numerous analogies in its different departments. We also notice that, the farther a mathematical theory is developed, the more harmoniously and uniformly does its construction proceed, and unsuspected relations are disclosed between hitherto separate branches of the science. So it happens that, with the extension of mathematics, its organic character is not lost but only manifests itself the more clearly.

 
David Hilbert
 

Softmindedness often invades religion. ... Softminded persons have revised the Beautitudes to read "Blessed are the pure in ignorance: for they shall see God." This has led to a widespread belief that there is a conflict between science and religion. But this is not true. There may be a conflict between softminded religionists and toughminded scientists, but not between science and religion. ... Science investigates; religion interprets. Science gives man knowledge which is power; religion gives man wisdom which is control. Science deals mainly with facts; religion deals mainly with values. The two are not rivals. They are complementary.

 
Martin Luther King
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