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Questions and Answers
What does most mathematical activity involve?
What does most mathematical activity involve?
- Reliance on scientific experimentation to establish mathematical truths
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
- Application of statistical methods to prove mathematical properties
- Experimental testing of mathematical theories
In modern mathematics, what are entities stipulated to have that are called axioms?
In modern mathematics, what are entities stipulated to have that are called axioms?
- Certain properties (correct)
- Random properties
- Fixed properties
- Variable properties
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Arithmetic, differential equations, topology, and optimization
- Calculus, trigonometry, statistics, and probability
- Linear algebra, combinatorics, calculus, and applied mathematics
- Number theory, algebra, geometry, and analysis (correct)
What are some areas of mathematics developed in close correlation with their applications?
What are some areas of mathematics developed in close correlation with their applications?
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What are the fundamental truths of mathematics independent from?
What are the fundamental truths of mathematics independent from?
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