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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?
What is the role of axioms in modern mathematics?
What is the role of axioms in modern mathematics?
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