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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)
- Algebra, calculus, topology, and probability
- Logic, set theory, differential equations, and combinatorics
- Calculus, statistics, trigonometry, and arithmetic
What does most mathematical activity involve?
What does most mathematical activity involve?
- Trial and error in solving mathematical problems
- Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
- Application of statistical methods to real-world problems
- Memorization of mathematical formulas and algorithms
What do proofs in mathematics consist of?
What do proofs in mathematics consist of?
- A succession of applications of deductive rules to already established results (correct)
- A series of experimental trials and observations
- A collection of mathematical problems and their solutions
- A set of arbitrary assumptions and conclusions
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 do abstract objects in mathematics consist of?
What do abstract objects in mathematics consist of?
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