The physicist rightly dreads precise argument, since an argument that is convincing only if it is precise loses all its force if the assumptions on which it is based are slightly changed, whereas an argument that is convincing though imprecise may well be stable under small perturbations of its underlying assumptions.
21. The author discusses computing machines in the first paragraph primarily in order to do which of the following?
Indicate the dangers inherent in relying to a great extent on machines
Illustrate his views about the approach of mathematicians to problem solving
Compare the work of mathematicians with that of computer programmers
Provide one definition of intelligence
Emphasize the importance of computers in modern technological society
22. According to the passage, scientists are skeptical toward their equations because scientists
work to explain real, rather than theoretical or simplified, situations
know that well-defined problems are often the most difficult to solve
are unable to express their data in terms of multiple variables
are unwilling to relax the axioms they have developed
are unable to accept mathematical explanations of natural phenomena
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