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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Calculus, trigonometry, statistics, and probability
- Arithmetic, calculus, topology, and logic
- Algebra, calculus, statistics, and geometry
- Number theory, algebra, geometry, and analysis (correct)
What do mathematical proofs consist of?
What do mathematical proofs consist of?
- A series of random assertions
- A set of unverified hypotheses
- A collection of experimental data
- A succession of applications of deductive rules to already established results (correct)
What is the primary method used in mathematical activity?
What is the primary method used in mathematical activity?
- Intuition and guesswork
- Experimentation with real-world phenomena
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
- Trial and error approach
What are the objects in modern mathematics that proofs are based on?
What are the objects in modern mathematics that proofs are based on?
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What is the nature of most mathematical activity?
What is the nature of most mathematical activity?
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