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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Arithmetic, calculus, trigonometry, and statistics
- Number theory, geometry, statistics, and calculus
- Algebra, calculus, topology, and probability
- Number theory, algebra, geometry, and analysis (correct)
What does most mathematical activity involve?
What does most mathematical activity involve?
- Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
- Memorization of formulas and algorithms
- Application of statistical methods to solve problems
- Visualization of geometric shapes and patterns
What do mathematical objects consist of in modern mathematics?
What do mathematical objects consist of in modern mathematics?
- Entities that are stipulated to have certain properties, called axioms (correct)
- Objects derived solely from practical applications
- Physical representations of natural phenomena
- Randomly generated shapes and patterns
What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
What are the starting points of a theory in mathematics?
What are the starting points of a theory in mathematics?
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