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What is the main activity involved in mathematical work according to the text?
What is the main activity involved in mathematical work according to the text?
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
- Development of mathematical models for real-world phenomena
- Application of statistical methods to analyze data
- Experimentation with mathematical concepts to derive conclusions
In which areas is mathematics essential according to the text?
In which areas is mathematics essential according to the text?
- Natural sciences, engineering, medicine, finance, computer science, and social sciences (correct)
- Political science, sociology, psychology, economics, and history
- Astronomy, geology, ecology, meteorology, and oceanography
- Art history, literature, linguistics, philosophy, and anthropology
What do some areas of mathematics such as statistics and game theory have a close correlation with according to the text?
What do some areas of mathematics such as statistics and game theory have a close correlation with according to the text?
- Real-world phenomena
- Theoretical proofs
- Their applications (correct)
- Mathematical axioms
What are the major subdisciplines of modern mathematics as mentioned in the text?
What are the major subdisciplines of modern mathematics as mentioned in the text?
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What is the main activity involved in mathematical work according to the text?
What is the main activity involved in mathematical work according to the text?
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In which areas is mathematics essential according to the text?
In which areas is mathematics essential according to the text?
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What do mathematicians use to prove properties of abstract objects?
What do mathematicians use to prove properties of abstract objects?
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What are some areas of mathematics developed in close correlation with their applications?
What are some areas of mathematics developed in close correlation with their applications?
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