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Questions and Answers
What are the major subdisciplines of modern mathematics mentioned in the text?
What are the major subdisciplines of modern mathematics mentioned in the text?
- Arithmetic, calculus, trigonometry, and statistics
- Algebra, calculus, topology, and probability
- Number theory, algebra, geometry, and analysis (correct)
- Number theory, geometry, statistics, and calculus
What is the primary method used in mathematical activity?
What is the primary method used in mathematical activity?
- Trial and error problem solving
- Experimentation and observation
- Collection of empirical data and statistical analysis
- Discovery of properties of abstract objects and use of pure reason (correct)
What do mathematical proofs consist of?
What do mathematical proofs consist of?
- Verification of statistical trends
- Application of trial and error methods
- Compilation of experimental data and observations
- Succession of applications of deductive rules to already established results (correct)
What are the objects that mathematical proofs involve?
What are the objects that mathematical proofs involve?
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What is the nature of the properties considered true starting points of a mathematical theory?
What is the nature of the properties considered true starting points of a mathematical theory?
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