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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Arithmetic, calculus, statistics, and trigonometry
- Algebra, calculus, geometry, and statistics
- Number theory, algebra, geometry, and analysis (correct)
- Logic, topology, calculus, and probability
What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
- A succession of applications of deductive rules to already established results (correct)
- Anecdotal evidence supporting a hypothesis
- A series of unverified assumptions leading to a conclusion
- Reliance on authority to validate a statement
What is the common approach in mathematical activity?
What is the common approach in mathematical activity?
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
- Intuitive guesswork followed by trial and error
- Reliance on empirical evidence and experimental data
- Acceptance of established beliefs without questioning
In what way is mathematics essential in various fields?
In what way is mathematics essential in various fields?
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