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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Calculus, trigonometry, statistics, and topology
- Arithmetic, calculus, algebra, and probability
- Number theory, algebra, geometry, and analysis (correct)
- Set theory, differential equations, combinatorics, and topology
What does most mathematical activity involve?
What does most mathematical activity involve?
- The study of physical phenomena and their mathematical representations
- The discovery of properties of abstract objects and the use of pure reason to prove them (correct)
- The memorization of complex formulas and algorithms
- The application of statistical methods to real-world problems
What do mathematical proofs consist of?
What do mathematical proofs consist of?
- A series of experimental demonstrations
- A set of observations and statistical analyses
- A succession of applications of deductive rules to already established results (correct)
- A collection of conjectures and hypotheses
What are the objects that most mathematical activity deals with?
What are the objects that most mathematical activity deals with?
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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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