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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?
Which areas of mathematics are often grouped under applied mathematics?
Which areas of mathematics are often grouped under applied mathematics?