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Questions and Answers
What are the major subdisciplines of modern mathematics mentioned in the text?
What are the major subdisciplines of modern mathematics mentioned in the text?
- Number theory, algebra, geometry, and analysis (correct)
- Algebra, geometry, statistics, and logic
- Arithmetic, calculus, topology, and logic
- Calculus, trigonometry, algebra, and statistics
What is the primary method used in mathematical activity?
What is the primary method used in mathematical activity?
- Trial and error
- Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
- Intuition and guesswork
- Experimentation and observation
What do mathematical proofs consist of?
What do mathematical proofs consist of?
- A collection of unverified statements
- An analysis of empirical data
- A succession of applications of deductive rules to already established results (correct)
- A series of random guesses
What are the objects that mathematical proofs involve?
What are the objects that mathematical proofs involve?
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What is the nature of most mathematical activity?
What is the nature of most mathematical activity?
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