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Questions and Answers
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?
- Calculus, trigonometry, and statistics
- Number theory, algebra, geometry, and analysis (correct)
- Arithmetic, topology, and differential equations
- Linear algebra, probability, and combinatorics
What are mathematical proofs based on, according to the text?
What are mathematical proofs based on, according to the text?
- Assumptions and speculations
- Succession of applications of deductive rules (correct)
- Intuition and guesswork
- Empirical evidence
What is the main activity in mathematics according to the text?
What is the main activity in mathematics according to the text?
- Studying natural phenomena through mathematical models
- Using pure reason to prove properties of abstract objects (correct)
- Applying mathematical formulas to solve practical problems
- Conducting scientific experiments
Which areas extensively use mathematics for modeling phenomena?
Which areas extensively use mathematics for modeling phenomena?
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Which areas of mathematics are often grouped under applied mathematics?
Which areas of mathematics are often grouped under applied mathematics?
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