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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Number theory, algebra, geometry, and analysis (correct)
- Number theory, geometry, calculus, and statistics
- Algebra, calculus, topology, and logic
- Arithmetic, calculus, trigonometry, and statistics
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 structures
What do mathematical objects consist of in modern mathematics?
What do mathematical objects consist of in modern mathematics?
- Randomly chosen symbols and numbers
- Abstractions from nature or entities stipulated to have certain properties (correct)
- Physical representations of mathematical concepts
- Complex combinations of axioms and theorems
What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
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What are considered as true starting points of a mathematical theory?
What are considered as true starting points of a mathematical theory?
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