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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Logic, probability, topology, and calculus
- Number theory, algebra, geometry, and analysis (correct)
- Arithmetic, calculus, statistics, and trigonometry
- Algebra, calculus, geometry, and statistics
What does most mathematical activity involve?
What does most mathematical activity involve?
- Application of mathematical formulas to solve practical problems
- Collection of empirical data and statistical analysis
- Experimental testing and observation of natural phenomena
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
What do mathematical objects consist of in modern mathematics?
What do mathematical objects consist of in modern mathematics?
- Entities stipulated to have certain properties, called axioms (correct)
- Purely theoretical assumptions without basis
- Observations from natural phenomena
- Empirical evidence and experimental data
What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
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What are the starting points of a theory in modern mathematics?
What are the starting points of a theory in modern mathematics?
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