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What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Combinatorics, linear algebra, calculus, and set theory
- Topology, differential equations, logic, and probability
- Number theory, algebra, geometry, and analysis (correct)
- Calculus, trigonometry, statistics, and arithmetic
What does mathematical activity primarily involve?
What does mathematical activity primarily involve?
- Discovery of properties of abstract objects and use of pure reason (correct)
- Memorization of formulas and application of algorithms
- Collection of numerical data and statistical analysis
- Visualization of geometric shapes and spatial reasoning
What do mathematical proofs consist of?
What do mathematical proofs consist of?
- Succession of applications of deductive rules to established results (correct)
- Trial and error experimentation with mathematical concepts
- Relying on empirical evidence and observations
- Creative problem-solving and intuitive reasoning
What are the abstract objects in modern mathematics?
What are the abstract objects in modern mathematics?
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What do mathematicians lack consensus on?
What do mathematicians lack consensus on?
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