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Questions and Answers
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?
- Calculus, trigonometry, and statistics
- Arithmetic, topology, and probability
- Differential equations, number theory, and combinatorics
- Algebra, geometry, and analysis (correct)
What is the main activity involved in mathematics according to the text?
What is the main activity involved in mathematics according to the text?
- Data analysis
- Discovery of properties of abstract objects (correct)
- Empirical observation
- Scientific experimentation
What are the fundamental truths of mathematics independent from according to the text?
What are the fundamental truths of mathematics independent from according to the text?
- Nature
- Abstract objects
- Pure reason
- Scientific experimentation (correct)
Which areas are mentioned as closely correlated with their applications in mathematics?
Which areas are mentioned as closely correlated with their applications in mathematics?
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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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