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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Arithmetic, calculus, trigonometry, and statistics
- Algebra, calculus, topology, and logic
- Number theory, algebra, geometry, and analysis (correct)
- Geometry, statistics, number theory, and logic
What do proofs in mathematics consist of?
What do proofs in mathematics consist of?
- A set of assumptions without logical reasoning
- A succession of applications of deductive rules to already established results (correct)
- A collection of opinions from different mathematicians
- A series of experiments and observations
What does most mathematical activity involve?
What does most mathematical activity involve?
- Application of statistical methods to real-world problems
- Observation and replication of natural phenomena
- Memorization of formulas and algorithms
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
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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