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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Geometry, arithmetic, statistics, and analysis
- Arithmetic, calculus, trigonometry, and statistics
- Algebra, calculus, topology, and probability
- Number theory, algebra, geometry, and analysis (correct)
What does most mathematical activity involve?
What does most mathematical activity involve?
- Manipulation of numerical values and application of statistical methods
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
- Visualization of geometric shapes and measurement of physical quantities
- Exploration of historical mathematical problems and their solutions
What do mathematical proofs consist of?
What do mathematical proofs consist of?
- An analysis of historical mathematical developments
- A collection of mathematical problems and their solutions
- A succession of applications of deductive rules to already established results (correct)
- A series of experimental trials and observations
What are the objects of mathematical study in modern mathematics?
What are the objects of mathematical study in modern mathematics?
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What is the nature of the general consensus among mathematicians about the definition of mathematics?
What is the nature of the general consensus among mathematicians about the definition of mathematics?
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