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What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Calculus, trigonometry, statistics, and arithmetic
- Number theory, algebra, geometry, and analysis (correct)
- Probability, differential equations, discrete mathematics, and combinatorics
- Algebra, calculus, topology, and logic
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)
- Analysis of historical mathematical developments
- Application of statistical methods to solve real-world problems
- Memorization of numerical values and their applications
What do mathematical objects consist of in modern mathematics?
What do mathematical objects consist of in modern mathematics?
- Historical artifacts and cultural representations
- Empirical observations and experimental data
- Abstractions from nature or entities stipulated to have certain properties (correct)
- Purely theoretical constructs without real-world applications
What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
What is the nature of the basic properties considered true starting points of a mathematical theory?
What is the nature of the basic properties considered true starting points of a mathematical theory?
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