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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Calculus, trigonometry, algebra, and statistics
- Number theory, algebra, geometry, and analysis (correct)
- Arithmetic, calculus, topology, and logic
- Probability, differential equations, discrete mathematics, and linear algebra
What is the primary method of mathematical proof?
What is the primary method of mathematical proof?
- Trial and error
- Intuition and guesswork
- Succession of applications of deductive rules to established results (correct)
- Empirical observation and experimentation
What do most mathematical activities involve?
What do most mathematical activities involve?
- Imitation of natural phenomena
- Memorization of formulas and algorithms
- Application of statistical methods
- 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?
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What is the definition of mathematics according to the text?
What is the definition of mathematics according to the text?
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