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What are the major subdisciplines of modern mathematics mentioned in the text?
What are the major subdisciplines of modern mathematics mentioned in the text?
- Number theory, algebra, geometry, and analysis (correct)
- Set theory, linear algebra, probability, and calculus
- Logic, trigonometry, differential equations, and combinatorics
- Arithmetic, calculus, statistics, and topology
What is the primary method used in most mathematical activity according to the text?
What is the primary method used in most mathematical activity according to the text?
- Development of mathematical models based on empirical data
- Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
- Experimentation and observation of natural phenomena
- Application of statistical analysis to derive conclusions
In what way are the fundamental truths of mathematics described in the text?
In what way are the fundamental truths of mathematics described in the text?
- Entirely reliant on empirical evidence
- Independent from any scientific experimentation (correct)
- Subject to constant revision based on new scientific discoveries
- Only applicable within the realm of natural sciences
Which areas are mentioned as extensively using mathematics for modeling phenomena?
Which areas are mentioned as extensively using mathematics for modeling phenomena?
What do mathematicians use to prove properties of abstract objects according to the text?
What do mathematicians use to prove properties of abstract objects according to the text?
What is the primary method used in most mathematical activity?
What is the primary method used in most mathematical activity?
What are the major subdisciplines of modern mathematics mentioned in the text?
What are the major subdisciplines of modern mathematics mentioned in the text?
What are the fundamental truths of mathematics independent from according to the text?
What are the fundamental truths of mathematics independent from according to the text?
Which areas are mentioned as extensively using mathematics for modeling phenomena?
Which areas are mentioned as extensively using mathematics for modeling phenomena?
What do mathematicians use to prove properties of abstract objects?
What do mathematicians use to prove properties of abstract objects?
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