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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Number theory, algebra, geometry, and analysis (correct)
- Algebra, calculus, topology, and probability
- Number theory, geometry, statistics, and logic
- Arithmetic, calculus, trigonometry, and statistics
What is the primary method of mathematical proof?
What is the primary method of mathematical proof?
- Trial and error
- Inductive reasoning
- Succession of applications of deductive rules (correct)
- Empirical experimentation
In modern mathematics, what are abstract objects based on?
In modern mathematics, what are abstract objects based on?
- Empirical data
- Entities stipulated to have certain properties (correct)
- Observations from nature
- Random assumptions
What distinguishes the fundamental truths of mathematics from scientific experimentation?
What distinguishes the fundamental truths of mathematics from scientific experimentation?
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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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