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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Number theory, algebra, geometry, and calculus
- Algebra, geometry, trigonometry, and analysis
- Algebra, calculus, trigonometry, and statistics
- Number theory, algebra, geometry, and analysis (correct)
What does most mathematical activity involve?
What does most mathematical activity involve?
- Use of axioms to solve problems
- Application of formulas
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
- Solving complex equations
What does a mathematical proof consist of?
What does a mathematical proof consist of?
- Succession of applications of deductive rules to already established results (correct)
- Succession of applications of inductive rules to new results
- Use of formulas to solve problems
- Use of axioms to derive new results
What are the abstract objects in mathematics?
What are the abstract objects in mathematics?
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What are the axioms in mathematics?
What are the axioms in mathematics?
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