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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
- Number theory, algebra, geometry, and analysis (correct)
- Probability, differential equations, linear algebra, and discrete mathematics
- Logic, set theory, calculus, and topology
What does most mathematical activity involve?
What does most mathematical activity involve?
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
- Application of statistical methods to solve problems
- Memorization of formulas and algorithms
- Trial and error to find solutions
What do mathematical proofs consist of?
What do mathematical proofs consist of?
- A succession of applications of deductive rules to already established results (correct)
- A set of unproven assumptions
- A collection of random mathematical facts
- A series of experimental tests
What are the entities in modern mathematics stipulated to have?
What are the entities in modern mathematics stipulated to have?
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What is the nature of most mathematical objects in modern mathematics?
What is the nature of most mathematical objects in modern mathematics?
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