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Questions and Answers
What is the primary method used in mathematical activity according to the text?
What is the primary method used in mathematical activity according to the text?
- Intuition and guesswork
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
- Inductive reasoning and hypothesis testing
- Experimental testing and observation
What are the major subdisciplines of modern mathematics mentioned in the text?
What are the major subdisciplines of modern mathematics mentioned in the text?
- Logic, set theory, combinatorics, and differential equations
- Algebra, calculus, topology, and probability
- Arithmetic, calculus, trigonometry, and statistics
- Number theory, algebra, geometry, and analysis (correct)
What do mathematical proofs consist of according to the text?
What do mathematical proofs consist of according to the text?
- A series of experimental trials and observations
- A succession of applications of deductive rules to already established results (correct)
- A collection of random mathematical statements
- An iterative process of trial and error
What are the objects of mathematical study in modern mathematics?
What are the objects of mathematical study in modern mathematics?
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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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