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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Algebra, calculus, statistics, and geometry
- Logic, probability, calculus, and topology
- Arithmetic, calculus, trigonometry, and statistics
- Number theory, algebra, geometry, and analysis (correct)
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 solve problems
- Trial and error experimentation with numbers and shapes
- Memorization of formulas and algorithms
What do mathematical objects in modern mathematics consist of?
What do mathematical objects in modern mathematics consist of?
- Physical representations of numbers and shapes
- Real-life applications of mathematical concepts
- Abstractions from nature or entities stipulated to have certain properties (correct)
- Empirical observations and experimental data
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 theory in modern mathematics?
What are the starting points of a theory in modern mathematics?
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