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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?
- Calculus, statistics, trigonometry, and arithmetic
- Algebra, calculus, topology, and statistics
- Geometry, arithmetic, number theory, and topology
- Number theory, algebra, geometry, and analysis (correct)
What do most mathematical activity involve?
What do most mathematical activity involve?
- Memorization of formulas and application of algorithms
- Experimentation with physical objects to derive mathematical concepts
- Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
- Intuitive guessing and approximation to solve mathematical problems
What do mathematical objects consist of in modern mathematics?
What do mathematical objects consist of in modern mathematics?
- Conjectures and hypotheses
- Abstractions from nature or entities stipulated to have certain properties (correct)
- Physical objects and observed phenomena
- Empirical data and experimental results
What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
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What are considered as the starting points of a mathematical theory in modern mathematics?
What are considered as the starting points of a mathematical theory in modern mathematics?
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What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
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What does most mathematical activity involve?
What does most mathematical activity involve?
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What do mathematical objects in modern mathematics consist of?
What do mathematical objects in modern mathematics consist of?
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What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
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What are the starting points of a mathematical theory in case of abstraction from nature?
What are the starting points of a mathematical theory in case of abstraction from nature?
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