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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Calculus, statistics, trigonometry, and arithmetic
- Topology, differential equations, combinatorics, and number theory
- Number theory, algebra, geometry, and analysis (correct)
- Logic, probability, calculus, and algebra
What does most mathematical activity involve?
What does most mathematical activity involve?
- Application of statistical methods to analyze mathematical data
- Memorization of mathematical formulas and their applications
- Experimental testing of mathematical concepts
- Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
What do mathematical objects consist of in modern mathematics?
What do mathematical objects consist of in modern mathematics?
- Entities with properties that constantly change
- Abstractions from nature or entities stipulated to have certain properties (correct)
- Randomly chosen elements with undefined properties
- Physical objects and natural phenomena
What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
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What are the starting points of a mathematical theory?
What are the starting points of a mathematical theory?
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