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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Geometry, arithmetic, statistics, and number theory
- Number theory, algebra, geometry, and analysis (correct)
- Algebra, calculus, topology, and probability
- Calculus, statistics, trigonometry, and arithmetic
What does most mathematical activity involve?
What does most mathematical activity involve?
- Application of statistical methods to solve problems
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
- Logical analysis of real-world phenomena
- Experimental testing of mathematical concepts
What do mathematical objects consist of?
What do mathematical objects consist of?
- Random combinations of numbers and symbols
- Physical representations of mathematical concepts
- Abstractions from nature or stipulated entities with certain properties called axioms (correct)
- Empirical data and theoretical constructs
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 theory in modern mathematics?
What are considered as starting points of a theory in modern mathematics?
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