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What are the major subdisciplines of modern mathematics represented in the text?
What are the major subdisciplines of modern mathematics represented in the text?
- Abstract algebra, number theory, calculus, and discrete mathematics
- Number theory, algebra, geometry, and analysis (correct)
- Calculus, trigonometry, statistics, and probability
- Differential equations, linear algebra, topology, and combinatorics
What is the primary method mentioned for mathematical activity in the text?
What is the primary method mentioned for mathematical activity in the text?
- Discovery of properties of abstract objects (correct)
- Interpolation of data to form conclusions
- Experimentation with real-world phenomena
- Inductive reasoning from specific cases
Which field is mentioned as extensively using mathematics for modeling phenomena?
Which field is mentioned as extensively using mathematics for modeling phenomena?
- Natural sciences (correct)
- Sociology
- Philosophy
- Literature
What are the fundamental truths of mathematics stated to be independent from in the text?
What are the fundamental truths of mathematics stated to be independent from in the text?
Which areas of mathematics are often grouped under applied mathematics according to the text?
Which areas of mathematics are often grouped under applied mathematics according to the text?
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