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What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Arithmetic, calculus, topology, and logic
- Probability, differential equations, combinatorics, and linear algebra
- Calculus, trigonometry, algebra, and statistics
- Number theory, algebra, geometry, and analysis (correct)
What are the objects in modern mathematics composed of?
What are the objects in modern mathematics composed of?
- Quantifiable measurements and observable phenomena
- Abstractions from nature or entities stipulated to have certain properties (correct)
- Physical materials and natural phenomena
- Random elements with undefined properties
What does most mathematical activity involve?
What does most mathematical activity involve?
- Visualization of geometric shapes and patterns
- Exploration of numerical patterns in nature
- Application of statistical methods to solve real-world problems
- Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
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What are the components of established results used in a mathematical proof?
What are the components of established results used in a mathematical proof?
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What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
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What does mathematical activity primarily involve?
What does mathematical activity primarily involve?
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What do objects in modern mathematics consist of?
What do objects in modern mathematics consist of?
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What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
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What is the nature of most mathematical activity?
What is the nature of most mathematical activity?
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