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Questions and Answers
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)
- Application of computational algorithms to solve problems
- Collection of empirical data and statistical analysis
- Experimentation and observation of natural phenomena
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Logic, probability, calculus, and topology
- Algebra, arithmetic, statistics, and geometry
- Number theory, algebra, geometry, and analysis (correct)
- Arithmetic, calculus, statistics, and trigonometry
What do mathematical proofs consist of?
What do mathematical proofs consist of?
- A collection of statistical data and analysis
- A series of experimental trials and observations
- A succession of applications of deductive rules to already established results (correct)
- An iterative process of refining conjectures
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?
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What do the topics of mathematics include?
What do the topics of mathematics include?
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