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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Number theory, algebra, geometry, and analysis (correct)
- Arithmetic, calculus, trigonometry, and statistics
- Combinatorics, linear algebra, calculus, and set theory
- Differential equations, topology, logic, and probability
What is the primary method used in mathematical activity?
What is the primary method used in mathematical activity?
- Intuition and guesswork
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
- Empirical observation and experimentation
- Trial and error
In modern mathematics, what are entities stipulated to have certain properties called?
In modern mathematics, what are entities stipulated to have certain properties called?
- Postulates
- Axioms (correct)
- Corollaries
- Conjectures
Which areas extensively use mathematics for modeling phenomena?
Which areas extensively use mathematics for modeling phenomena?
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What are some areas of mathematics that are often grouped under applied mathematics?
What are some areas of mathematics that are often grouped under applied mathematics?
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