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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, differential equations, and linear algebra
- Number theory, algebra, geometry, and analysis (correct)
- Logic, set theory, combinatorics, and probability
- Calculus, trigonometry, statistics, and topology
What do most mathematical activities involve?
What do most mathematical activities involve?
- Application of statistical methods and data analysis
- Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
- Visualization of geometric shapes and patterns
- Solving practical problems using numerical methods
What do mathematical objects consist of in modern mathematics?
What do mathematical objects consist of in modern mathematics?
- Physical objects and natural phenomena
- Randomly generated shapes and patterns
- Abstract concepts without any defined properties
- Entities that are stipulated to have certain properties, called axioms (correct)
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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