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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Logic, differential equations, combinatorics, and graph theory
- Arithmetic, calculus, topology, and algebra
- Number theory, algebra, geometry, and analysis (correct)
- Calculus, statistics, trigonometry, and probability
What is the primary method of mathematical proof?
What is the primary method of mathematical proof?
- Trial and error
- Inductive reasoning
- Intuition and guesswork
- Succession of applications of deductive rules (correct)
What are the objects of mathematical study in modern mathematics?
What are the objects of mathematical study in modern mathematics?
- Hypothetical scenarios and thought experiments
- Abstract objects and entities with stipulated properties (correct)
- Physical objects and natural phenomena
- Empirical observations and measurements
What is the nature of most mathematical activity?
What is the nature of most mathematical activity?
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What is the role of axioms in modern mathematics?
What is the role of axioms in modern mathematics?
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