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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)
- Algebra, calculus, topology, and probability
- Calculus, statistics, trigonometry, and arithmetic
- Geometry, statistics, algebra, and logic
What is the primary method used in mathematical activity, as per the text?
What is the primary method used in mathematical activity, as per the text?
- Discovery of properties of abstract objects and the use of pure reason (correct)
- Intuition and guesswork
- Trial and error approach
- Experimentation and observation of natural phenomena
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?
- Axioms (correct)
- Constants
- Parameters
- Variables
What does a proof in mathematics consist of, according to the text?
What does a proof in mathematics consist of, according to the text?
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What do mathematical results include, as per the text?
What do mathematical results include, as per the text?
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