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Questions and Answers
What are the major subdisciplines represented in modern mathematics?
What are the major subdisciplines represented in modern mathematics?
- Statistics, geometry, analysis, calculus
- Number theory, algebra, geometry, analysis (correct)
- Number theory, geometry, calculus, statistics
- Algebra, trigonometry, calculus, analysis
How are most mathematical properties discovered?
How are most mathematical properties discovered?
- Through experimental observation
- By applications of inductive reasoning
- Through guesswork and trial-and-error
- By use of pure reason and deductive rules (correct)
What do mathematical objects consist of in modern mathematics?
What do mathematical objects consist of in modern mathematics?
- Entities stipulated to have certain properties, called axioms (correct)
- Physical properties from natural phenomena
- A collection of random properties
- Abstractions from nature and pure imagination
Which areas of study are essential to mathematics?
Which areas of study are essential to mathematics?
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What distinguishes the fundamental truths of mathematics from scientific experimentation?
What distinguishes the fundamental truths of mathematics from scientific experimentation?
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