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Questions and Answers
What are the major subdisciplines of modern mathematics mentioned in the text?
What are the major subdisciplines of modern mathematics mentioned in the text?
- Number theory, algebra, geometry, and analysis (correct)
- Arithmetic, calculus, topology, and probability
- Calculus, statistics, trigonometry, and logic
- Algebra, calculus, statistics, and geometry
What does most mathematical activity involve?
What does most mathematical activity involve?
- Experimental testing of mathematical concepts
- Memorization of formulas and algorithms
- Application of statistical methods to solve problems
- Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
- A series of random guesses and checks
- A succession of applications of deductive rules to already established results (correct)
- A collection of experimental data
- A set of unverified assumptions
What are the topics represented in modern mathematics?
What are the topics represented in modern mathematics?
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What are mathematical objects stipulated to have in modern mathematics?
What are mathematical objects stipulated to have in modern mathematics?
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