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What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Calculus, trigonometry, statistics, and logic
- Arithmetic, calculus, topology, and probability
- Number theory, algebra, geometry, and analysis (correct)
- Algebra, calculus, statistics, and geometry
What does most mathematical activity involve?
What does most mathematical activity involve?
- Experimentation with physical objects to derive mathematical principles
- Memorization of formulas and algorithms
- Application of statistical methods to analyze data
- Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
What do mathematical objects consist of in modern mathematics?
What do mathematical objects consist of in modern mathematics?
- Entities that are stipulated to have certain properties, called axioms (correct)
- Entities that are proven to have certain properties through experimentation
- Physical objects found in nature
- Conjectures based on observations
What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
What are the starting points of a theory in mathematics?
What are the starting points of a theory in mathematics?
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