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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Number theory, arithmetic, calculus, and geometry
- Number theory, algebra, geometry, and analysis (correct)
- Algebra, calculus, topology, and probability
- Arithmetic, calculus, statistics, and trigonometry
What is the primary method used in mathematical activity?
What is the primary method used in mathematical activity?
- Trial and error
- Intuition and guesswork
- Empirical observation and experimental testing
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
What do mathematical proofs consist of?
What do mathematical proofs consist of?
- A collection of random mathematical statements
- A series of experimental trials
- A succession of applications of deductive rules to already established results (correct)
- A set of unverified assumptions
What are the entities in modern mathematics stipulated to have?
What are the entities in modern mathematics stipulated to have?
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What do mathematical objects consist of?
What do mathematical objects consist of?
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