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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Number theory, algebra, geometry, and analysis (correct)
- Calculus, trigonometry, algebra, and statistics
- Arithmetic, calculus, topology, and logic
- Probability, differential equations, combinatorics, and set theory
What does most mathematical activity involve?
What does most mathematical activity involve?
- Memorization of formulas and application of algorithms
- Intuitive guessing and approximation
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
- Experimental testing of mathematical concepts
What do mathematical objects in modern mathematics consist of?
What do mathematical objects in modern mathematics consist of?
- Physical objects and natural phenomena
- Empirical observations and experimental data
- Human-made constructs and technological advancements
- 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?
What are the starting points of a mathematical theory?
What are the starting points of a mathematical theory?
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