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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Number theory, algebra, geometry, and analysis (correct)
- Algebra, arithmetic, statistics, and geometry
- Arithmetic, calculus, topology, and algebra
- Calculus, trigonometry, statistics, and probability
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)
- Experimental testing and observation
- Exploration of physical phenomena
- Application of statistical methods
What do proofs in mathematics consist of?
What do proofs in mathematics consist of?
- A collection of empirical evidence
- A succession of applications of deductive rules to already established results (correct)
- A series of experimental trials and observations
- An analysis of statistical data
In which areas is mathematics essential?
In which areas is mathematics essential?
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What are some areas of mathematics developed in close correlation with their applications?
What are some areas of mathematics developed in close correlation with their applications?
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