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What four words are used to describe mathematicians?
If you want a more appropriate description, then you need to know the basic situation of the described object, otherwise you can only give more general wording, which may lack pertinence. I thought for a moment, and there are four common words-knowledgeable and thoughtful.

Mathematics is the queen of natural science, and almost all aspects of modern science and technology are inseparable from mathematics. Specific examples should not be difficult to find online. For example, a project has a complex technical problem, and there are three possible directions to solve the problem, all of which require huge capital investment. Mathematicians may tell us that Scheme A takes a long time, which is almost unacceptable under the existing conditions, while Scheme B has a high error probability, which is likely to cause huge waste, while Scheme C is highly operable, and it will definitely produce results within 1 year. "That road is definitely impassable", which has infinite merits, often comes from the mouth of mathematicians.