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Questions and Answers
What are the major subdisciplines represented in modern mathematics?
What are the major subdisciplines represented in modern mathematics?
- Calculus, statistics, trigonometry, and topology
- Arithmetic, calculus, algebra, and probability
- Number theory, algebra, geometry, and analysis (correct)
- Set theory, differential equations, topology, and logic
What is the primary method used in mathematical activity?
What is the primary method used in mathematical activity?
- Intuitive guessing and trial-and-error
- Empirical observation and experimentation
- Reliance on historical mathematical principles
- Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
What do mathematical proofs consist of?
What do mathematical proofs consist of?
- Experiments and observations
- Intuitive leaps and guesswork
- A succession of applications of deductive rules to already established results (correct)
- Reliance on authority and tradition
What is the nature of most mathematical objects in modern mathematics?
What is the nature of most mathematical objects in modern mathematics?
What are the objects that mathematical activity involves?
What are the objects that mathematical activity involves?
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