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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Number theory, algebra, geometry, and analysis (correct)
- Calculus, statistics, trigonometry, and arithmetic
- Logic, probability, calculus, and topology
- Algebra, calculus, geometry, and statistics
What do mathematical proofs consist of?
What do mathematical proofs consist of?
- A collection of experimental data
- A series of random assumptions
- A set of unverified conjectures
- A succession of applications of deductive rules to already established results (correct)
What is the primary method used in mathematical activity?
What is the primary method used in mathematical activity?
- Application of statistical analysis
- Intuition and guesswork
- Experimentation and observation
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
What are the objects in modern mathematics made of?
What are the objects in modern mathematics made of?
What is the nature of the general consensus among mathematicians regarding a common definition for their academic discipline?
What is the nature of the general consensus among mathematicians regarding a common definition for their academic discipline?
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