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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, arithmetic, statistics, and calculus
- Calculus, statistics, trigonometry, and probability
- Arithmetic, calculus, topology, and logic
What do proofs in mathematics consist of?
What do proofs in mathematics consist of?
- A succession of applications of deductive rules to already established results (correct)
- A set of random mathematical statements
- A series of experimental trials and observations
- A collection of mathematical problems and their solutions
What is the main activity in mathematics, according to the text?
What is the main activity in mathematics, according to the text?
- Memorizing mathematical formulas and theorems
- Finding practical applications of mathematical concepts
- Creating new mathematical operations
- Discovery of properties of abstract objects and using pure reason to prove them (correct)
What are the abstract objects in modern mathematics stipulated to have?
What are the abstract objects in modern mathematics stipulated to have?
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What is the nature of mathematical objects in modern mathematics?
What is the nature of mathematical objects in modern mathematics?
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