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Questions and Answers
What does most mathematical activity involve?
What does most mathematical activity involve?
- The discovery of properties of abstract objects and the use of pure reason to prove them (correct)
- The study of physical quantities and their measurements
- The memorization of formulas and algorithms
- The application of empirical observations to solve problems
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Arithmetic, calculus, topology, and probability
- Algebra, calculus, statistics, and logic
- Number theory, algebra, geometry, and analysis (correct)
- Calculus, trigonometry, statistics, and logic
What do mathematical objects consist of in modern mathematics?
What do mathematical objects consist of in modern mathematics?
- Empirical data collected from natural phenomena
- Randomly generated shapes and patterns
- Entities that are stipulated to have certain properties, called axioms (correct)
- Physical representations of mathematical concepts
What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
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What is the nature of abstract objects in mathematics?
What is the nature of abstract objects in mathematics?
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