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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Number theory, algebra, geometry, and analysis (correct)
- Arithmetic, calculus, statistics, and trigonometry
- Combinatorics, linear algebra, calculus, and set theory
- Topology, logic, probability, and differential equations
What do mathematical objects consist of in modern mathematics?
What do mathematical objects consist of in modern mathematics?
- Entities that are based on assumptions without proof
- Physical objects found in nature
- Entities that are stipulated to have certain properties, called axioms (correct)
- Entities that are derived from empirical observations
What does most mathematical activity involve?
What does most mathematical activity involve?
- Application of statistical methods to analyze data
- Exploration of real-world phenomena through numerical simulations
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
- Experimentation with physical objects and observation of their properties
What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
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What are considered true starting points of a theory in mathematics?
What are considered true starting points of a theory in mathematics?
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