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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Probability, combinatorics, and set theory
- Number theory, algebra, geometry, and analysis (correct)
- Linear algebra, differential equations, and topology
- Calculus, trigonometry, and statistics
What is the main activity in mathematics?
What is the main activity in mathematics?
- Conducting scientific experiments
- Discovering properties of abstract objects and using pure reason to prove them (correct)
- Observing natural phenomena
- Applying statistical techniques to data
What are mathematical proofs based on?
What are mathematical proofs based on?
- Intuition and guesswork
- Deductive rules and already established results (correct)
- Empirical evidence
- Probabilistic reasoning
In which areas is mathematics essential?
In which areas is mathematics essential?
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How are some areas of mathematics developed?
How are some areas of mathematics developed?
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