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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?
- Number theory, algebra, geometry, and analysis (correct)
- Arithmetic, calculus, topology, and algebra
- Calculus, trigonometry, statistics, and probability
- Algebra, calculus, statistics, and geometry
What does most mathematical activity involve?
What does most mathematical activity involve?
- Application of mathematical concepts in real-world scenarios
- Exploration of historical mathematical developments
- Memorization of mathematical formulas and theorems
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
What are the entities in modern mathematics stipulated to have certain properties called?
What are the entities in modern mathematics stipulated to have certain properties called?
- Conjectures
- Corollaries
- Axioms (correct)
- Hypotheses
What do proofs in mathematics consist of?
What do proofs in mathematics consist of?
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What do abstract objects in mathematics consist of?
What do abstract objects in mathematics consist of?
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