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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, trigonometry, statistics, and logic
- Arithmetic, calculus, topology, and algebra
- Probability, differential equations, combinatorics, and set theory
What does most mathematical activity involve?
What does most mathematical activity involve?
- Experimental testing of mathematical hypotheses
- Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
- Application of statistical methods to solve real-world problems
- Memorization of complex formulas and algorithms
What do proofs in mathematics consist of?
What do proofs in mathematics consist of?
- A series of experimental trials and observations
- A succession of applications of deductive rules to already established results (correct)
- A collection of opinions and conjectures
- A demonstration of practical applications of mathematical concepts
What are the objects that mathematical proofs are based on?
What are the objects that mathematical proofs are based on?
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What is the nature of the general consensus among mathematicians about a common definition for their academic discipline?
What is the nature of the general consensus among mathematicians about a common definition for their academic discipline?
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