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Questions and Answers
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 use of pure reason to prove them (correct)
- Reliance on authority and tradition
- Intuitive guesswork and trial-and-error
- Experimental validation and empirical reasoning
What are the major subdisciplines of modern mathematics as mentioned in the text?
What are the major subdisciplines of modern mathematics as mentioned in the text?
- Logic, probability, topology, and calculus
- Number theory, algebra, geometry, and analysis (correct)
- Arithmetic, calculus, trigonometry, and statistics
- Algebra, calculus, geometry, and statistics
What are the objects of mathematical study in modern mathematics?
What are the objects of mathematical study in modern mathematics?
- Human thoughts and emotions
- Abstractions from nature and entities stipulated to have certain properties (correct)
- Physical objects and empirical phenomena
- Historical artifacts and cultural symbols
What does a proof in mathematics consist of, based on the text?
What does a proof in mathematics consist of, based on the text?
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What is the role of axioms in modern mathematics, according to the text?
What is the role of axioms in modern mathematics, according to the text?
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