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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Logic, topology, probability, and differential equations
- Set theory, combinatorics, linear algebra, and calculus
- Number theory, algebra, geometry, and analysis (correct)
- Calculus, statistics, trigonometry, and arithmetic
What is the primary method used in mathematical activity?
What is the primary method used in mathematical activity?
- Experimental observations and empirical testing
- Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
- Data analysis and statistical inference
- Intuitive guesswork and trial-and-error
What do mathematical proofs consist of?
What do mathematical proofs consist of?
- A series of experimental trials leading to a conclusion
- A succession of applications of deductive rules to already established results (correct)
- A collection of random mathematical facts
- An analysis of empirical data
What are the objects of mathematical proofs in modern mathematics?
What are the objects of mathematical proofs in modern mathematics?
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What is the nature of mathematical activity in modern mathematics?
What is the nature of mathematical activity in modern mathematics?
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