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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Arithmetic, calculus, trigonometry, and statistics
- Probability, topology, calculus, and algebra
- Number theory, algebra, geometry, and analysis (correct)
- Logic, differential equations, combinatorics, and statistics
What does mathematical activity primarily involve?
What does mathematical activity primarily involve?
- Application of statistical methods to analyze data
- Observation of natural phenomena and drawing conclusions
- Collection of empirical data and experimental testing
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
What do mathematical objects consist of in modern mathematics?
What do mathematical objects consist of in modern mathematics?
- Physical representations of mathematical concepts
- Abstractions from nature or entities stipulated to have certain properties (correct)
- Abstract ideas without practical applications
- Empirical data and experimental results
What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
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What are the starting points of a theory in modern mathematics?
What are the starting points of a theory in modern mathematics?
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