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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 logic
- Calculus, trigonometry, algebra, and statistics
- Number theory, algebra, geometry, and analysis (correct)
- Probability, combinatorics, differential equations, and linear algebra
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)
- Experimental testing of mathematical concepts
- Application of statistical methods to solve problems
- Memorization of formulas and algorithms
What do mathematical objects consist of in modern mathematics?
What do mathematical objects consist of in modern mathematics?
- Abstractions from nature or entities stipulated to have certain properties (correct)
- Physical representations of numbers and shapes
- Observable quantities and their relationships
- Empirical data and statistical distributions
What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
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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