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Questions and Answers
What is the primary activity in mathematics according to the text?
What is the primary activity in mathematics according to the text?
- Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
- Experimental testing of mathematical theories
- Development of mathematical software and tools
- Application of mathematical formulas to real-world problems
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Arithmetic, topology, calculus, and algebra
- Calculus, trigonometry, statistics, and probability
- Logic, set theory, differential equations, and combinatorics
- Number theory, algebra, geometry, and analysis (correct)
What do mathematical objects consist of in modern mathematics?
What do mathematical objects consist of in modern mathematics?
- Entities derived solely from experimental data
- Concretes from nature or entities stipulated to have uncertain properties
- Abstractions from nature or entities stipulated to have certain properties (correct)
- Physical entities with measurable properties
What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
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What are the entities in modern mathematics stipulated to have?
What are the entities in modern mathematics stipulated to have?
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