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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
- Logic, topology, differential equations, and combinatorics
- Probability, set theory, linear algebra, and discrete mathematics
- Number theory, algebra, geometry, and analysis (correct)
What does most mathematical activity involve?
What does most mathematical activity involve?
- Application of statistical methods to analyze data
- Investigation of physical laws and their applications
- Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
- Experimental testing and observation of natural phenomena
What do mathematical objects consist of in modern mathematics?
What do mathematical objects consist of in modern mathematics?
- Randomly generated shapes and structures
- Physical manifestations of natural phenomena
- Entities that are stipulated to have certain properties, called axioms (correct)
- Empirical observations 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 considered as the starting points of a theory in modern mathematics?
What are considered as the starting points of a theory in modern mathematics?
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