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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?
- Algebra, statistics, calculus, and number theory
- Logic, probability, calculus, and topology
- Arithmetic, calculus, trigonometry, and statistics
- Number theory, algebra, geometry, and analysis (correct)
What does most mathematical activity involve?
What does most mathematical activity involve?
- Experimentation with physical objects to derive mathematical principles
- Memorization of complex formulas and their applications
- Application of statistical methods to analyze data
- Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
What do proofs in mathematics consist of?
What do proofs in mathematics consist of?
- A set of calculations and approximations
- A collection of assumptions and estimations
- A succession of applications of deductive rules to already established results (correct)
- A series of experimental trials and observations
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?
What is the role of axioms in modern mathematics?
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