presence of many invisible terms in addition to the
15 differential terms visible, and this sense inspires an entirely
appropriate disregard for the purely technical features of the
equation. This very healthy skepticism is foreign to the
mathematical approach. Mathematics must deal with
well-defined situations. Thus, mathematicians
20 depend on an intellectual effort outside of mathematics for
the crucial specification of the approximation that mathematics is to take literally.
11. 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
12. The author implies that scientists develop a healthy skepticism because they are aware that
mathematicians are better able to solve problems than are scientists
changes in axiomatic propositions will inevitably undermine scientific arguments
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