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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
- Algebra, geometry, probability, and statistics
- Number theory, algebra, geometry, and analysis (correct)
- Calculus, trigonometry, statistics, and probability
What does most mathematical activity involve?
What does most mathematical activity involve?
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
- Application of statistical methods to analyze data
- Memorization of formulas and algorithms
- Experimentation with physical objects to derive mathematical principles
What do mathematical objects consist of in modern mathematics?
What do mathematical objects consist of in modern mathematics?
- Physical objects and real-life phenomena
- Randomly generated shapes and patterns
- Purely theoretical concepts with no real-world application
- Abstractions from nature or entities with stipulated properties called axioms (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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