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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Calculus, statistics, trigonometry, and topology
- Logic, probability, differential equations, and combinatorics
- Number theory, algebra, geometry, and analysis (correct)
- Arithmetic, calculus, algebra, and geometry
What do most mathematical activities involve?
What do most mathematical activities involve?
- Application of statistical methods to analyze data
- Memorization of formulas and algorithms
- Experimentation with physical objects to derive mathematical principles
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
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)
- An arbitrary selection of mathematical principles
- A consensus among mathematicians
What are the objects of mathematical study in modern mathematics?
What are the objects of mathematical study in modern mathematics?
What is the role of axioms in modern mathematics?
What is the role of axioms in modern mathematics?
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