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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)
- Calculus, trigonometry, statistics, and logic
- Algebra, calculus, statistics, and geometry
- Arithmetic, calculus, topology, and probability
What is the main activity involved in most mathematical work?
What is the main activity involved in most mathematical work?
- Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
- Application of statistical methods
- Experimental testing and observation
- Collection of empirical data
What do proofs in mathematics consist of?
What do proofs in mathematics consist of?
- A collection of data points
- An analysis of statistical trends
- A series of experiments and observations
- A succession of applications of deductive rules to already established results (correct)
What are the entities in modern mathematics stipulated to have certain properties called?
What are the entities in modern mathematics stipulated to have certain properties called?
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What do mathematical objects consist of in modern mathematics?
What do mathematical objects consist of in modern mathematics?
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