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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Arithmetic, calculus, topology, and algebra
- Probability, differential equations, combinatorics, and set theory
- Calculus, trigonometry, statistics, and logic
- Number theory, algebra, geometry, and analysis (correct)
What does most mathematical activity involve?
What does most mathematical activity involve?
- Experimental testing of mathematical concepts
- Application of statistical methods to solve problems
- Memorization of formulas and algorithms
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
What do mathematical objects consist of in modern mathematics?
What do mathematical objects consist of in modern mathematics?
- Randomly generated patterns and sequences
- Physical representations of shapes and quantities
- Abstractions from nature or entities stipulated to have certain properties (correct)
- Solutions to real-world problems
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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