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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Algebra, statistics, geometry, and differential equations
- Calculus, statistics, trigonometry, and logic
- Number theory, algebra, geometry, and analysis (correct)
- Arithmetic, calculus, topology, and probability
What is the primary method used in mathematical activity?
What is the primary method used in mathematical activity?
- Exploration of the relationship between numbers and shapes
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
- Experimentation with physical objects and observation of their behavior
- Application of statistical analysis to real-world problems
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 tests and observations
- A combination of empirical evidence and logical reasoning
- A set of assumptions based on common beliefs
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 does most mathematical activity involve?
What does most mathematical activity involve?
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