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Questions and Answers
What are the major subdisciplines of modern mathematics mentioned in the text?
What are the major subdisciplines of modern mathematics mentioned in the text?
- Arithmetic, calculus, algebra, and geometry
- Number theory, algebra, geometry, and analysis (correct)
- Logic, probability, differential equations, and topology
- Calculus, statistics, trigonometry, and topology
What does most mathematical activity involve?
What does most mathematical activity involve?
- Experimental testing and observation
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
- Memorization of formulas and algorithms
- Application of statistical methods to analyze data
What do proofs in mathematics consist of?
What do proofs in mathematics consist of?
- A set of random assumptions and conclusions
- A collection of opinions from various mathematicians
- A succession of applications of deductive rules to already established results (correct)
- A series of experimental trials and errors
What are the entities in modern mathematics stipulated to have?
What are the entities in modern mathematics stipulated to have?
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What do the objects in mathematics consist of?
What do the objects in mathematics consist of?
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