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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Probability, differential equations, logic, and set theory
- Calculus, trigonometry, statistics, and topology
- Arithmetic, calculus, algebra, and geometry
- Number theory, algebra, geometry, and analysis (correct)
What does most mathematical activity involve?
What does most mathematical activity involve?
- Experimental testing of mathematical concepts
- Application of statistical methods to solve problems
- Memorization of formulas and algorithms
- Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
What do mathematical objects in modern mathematics consist of?
What do mathematical objects in modern mathematics consist of?
- Real-world physical objects and their measurements
- Abstractions from nature or entities stipulated to have certain properties (correct)
- Purely theoretical concepts with no practical applications
- Randomly chosen elements with undefined 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 stipulated to have certain properties in modern mathematics called?
What are the entities stipulated to have certain properties in modern mathematics called?
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