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Questions and Answers
What is the primary activity in mathematics according to the text?
What is the primary activity in mathematics according to the text?
- Discovery of properties and proving them using pure reason (correct)
- Application of axioms
- Memorization of formulas
- Defining new axioms
What are the major subdisciplines of modern mathematics as mentioned in the text?
What are the major subdisciplines of modern mathematics as mentioned in the text?
- Geometry, Algebra, Calculus, and Trigonometry
- Algebra, Calculus, Trigonometry, and Statistics
- Number theory, Algebra, Calculus, and Statistics
- Number theory, Algebra, Geometry, and Analysis (correct)
Which of the following best describes the nature of objects studied in modern mathematics?
Which of the following best describes the nature of objects studied in modern mathematics?
- Objects are stipulated to have certain properties, called axioms
- Objects are only abstracted from nature
- Objects are physical entities that can be measured
- Objects are either abstractions from nature or entities that are stipulated to have certain properties (correct)
What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
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What is the consensus among mathematicians about the definition of their academic discipline?
What is the consensus among mathematicians about the definition of their academic discipline?
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