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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)
- Calculus, statistics, arithmetic, and trigonometry
- Differential equations, linear algebra, combinatorics, and chaos theory
- Logic, probability, calculus, and topology
What is the primary method used in mathematical activity?
What is the primary method used in mathematical activity?
- Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
- Experimentation and observation of real-world phenomena
- Application of statistical analysis to solve problems
- Intuitive guesswork and trial-and-error
What are the entities in modern mathematics stipulated to have certain properties called?
What are the entities in modern mathematics stipulated to have certain properties called?
- Hypotheses
- Axioms (correct)
- Corollaries
- Conjectures
What do the results in mathematical proofs include?
What do the results in mathematical proofs include?
What do mathematical proofs consist of?
What do mathematical proofs consist of?