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What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Probability, differential equations, linear algebra, and discrete mathematics
- Set theory, logic, topology, and combinatorics
- Number theory, algebra, geometry, and analysis (correct)
- Arithmetic, calculus, trigonometry, and statistics
What does mathematical activity primarily involve?
What does mathematical activity primarily involve?
- Exploration of numerical patterns and relationships
- Utilization of computational tools to solve mathematical problems
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
- Application of mathematical formulas in real-world scenarios
What do mathematical objects consist of in modern mathematics?
What do mathematical objects consist of in modern mathematics?
- Physical representations of mathematical concepts
- Quantifiable and measurable entities
- Empirical observations and experimental data
- 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 in the case of abstraction from nature?
What are the starting points of a mathematical theory in the case of abstraction from nature?
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