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Questions and Answers
What is the primary method of mathematical proof?
What is the primary method of mathematical proof?
- Empirical observation and induction
- Succession of applications of deductive rules (correct)
- Intuition and guesswork
- Trial and error
What do most mathematical activities involve?
What do most mathematical activities involve?
- Discovery of properties of abstract objects and use of pure reason (correct)
- Collection of empirical data and statistical analysis
- Experimentation and hypothesis testing
- Creation of new formulas and algorithms
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Logic, probability, topology, and combinatorics
- Arithmetic, calculus, trigonometry, and statistics
- Set theory, differential equations, linear algebra, and chaos theory
- Number theory, algebra, geometry, and analysis (correct)
What are the entities in modern mathematics stipulated to have?
What are the entities in modern mathematics stipulated to have?
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What do mathematical proofs consist of?
What do mathematical proofs consist of?
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