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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?
- Number theory, geometry, calculus, and statistics
- Calculus, statistics, trigonometry, and topology
- Arithmetic, calculus, algebra, and probability
- Number theory, algebra, geometry, and analysis (correct)
What is the primary method used in mathematical activity, as per the text?
What is the primary method used in mathematical activity, as per the text?
- Rote memorization of formulas and theorems
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
- Application of statistical analysis to predict mathematical outcomes
- Experimentation with real-world objects and observation of patterns
What do mathematical proofs consist of, according to the text?
What do mathematical proofs consist of, according to the text?
- A succession of applications of deductive rules to already established results (correct)
- A collection of mathematical problems and their solutions
- A series of experimental trials to validate a hypothesis
- A set of random mathematical concepts and their applications
What are the entities in modern mathematics stipulated to have, as per the text?
What are the entities in modern mathematics stipulated to have, as per the text?
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What are the topics included in the area of knowledge of mathematics, as mentioned in the text?
What are the topics included in the area of knowledge of mathematics, as mentioned in the text?
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What is a set in mathematics?
What is a set in mathematics?
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How are sets represented in mathematics?
How are sets represented in mathematics?
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What is an example of a set with fixed elements?
What is an example of a set with fixed elements?
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What is a real-life example of a set according to the text?
What is a real-life example of a set according to the text?
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What does a set not change from person to person, as per the text?
What does a set not change from person to person, as per the text?
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