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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Arithmetic, calculus, statistics, and trigonometry
- Logic, probability, calculus, and topology
- Algebra, arithmetic, statistics, and geometry
- Number theory, algebra, geometry, and analysis (correct)
What does most mathematical activity involve?
What does most mathematical activity involve?
- Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
- Experimentation with physical objects to understand mathematical concepts
- Application of statistical methods to solve problems
- Memorization of mathematical formulas and theorems
What do mathematical objects consist of in modern mathematics?
What do mathematical objects consist of in modern mathematics?
- Entities that are derived from historical mathematical texts
- Entities that are stipulated to have certain properties, called axioms (correct)
- Entities that are based on personal interpretations
- Entities that are directly observable in nature
What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
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What is considered as the starting points of a mathematical theory?
What is considered as the starting points of a mathematical theory?
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