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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Logic, topology, calculus, and probability
- Arithmetic, calculus, trigonometry, and statistics
- Algebra, calculus, statistics, and geometry
- Number theory, algebra, geometry, and analysis (correct)
What does most mathematical activity involve?
What does most mathematical activity involve?
- Trial and error experimentation with mathematical concepts
- Memorization of formulas and application of specific rules
- Rote application of established results without reasoning
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
What do mathematical objects in modern mathematics consist of?
What do mathematical objects in modern mathematics consist of?
- Physical representations of mathematical concepts
- Entities with undefined properties
- Randomly selected elements from nature
- 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 considered as starting points of a mathematical theory?
What are considered as starting points of a mathematical theory?
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