Podcast
Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Number theory, algebra, geometry, analysis (correct)
- Algebra, trigonometry, calculus, geometry
- Geometry, analysis, calculus, algebra
- Number theory, calculus, algebra, geometry
What does most mathematical activity involve?
What does most mathematical activity involve?
- Use of axioms to disprove theorems
- Discovery of properties of tangible objects
- Use of pure reason to disprove properties of abstract objects
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
What is a proof in mathematics?
What is a proof in mathematics?
- A succession of applications of deductive rules to already established results (correct)
- A succession of applications of axioms
- A succession of applications of theorems
- A succession of applications of inductive rules
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