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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Algebra, calculus, topology, and logic
- Arithmetic, calculus, statistics, and trigonometry
- Geometry, statistics, number theory, and algebra
- 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)
- Intuitive guessing and approximation of solutions
- Experimental testing and observation of natural phenomena
- Memorization of complex formulas and the application of algorithms
What do mathematical objects in modern mathematics consist of?
What do mathematical objects in modern mathematics consist of?
- Purely hypothetical and imaginary constructs
- Concrete physical entities and observable phenomena
- Randomly selected data points and statistical distributions
- Abstractions from nature or entities stipulated to have certain properties (correct)
What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
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What are the starting points of a mathematical theory?
What are the starting points of a mathematical theory?
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