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What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Number theory, algebra, geometry, and analysis (correct)
- Number theory, geometry, statistics, and logic
- Algebra, calculus, topology, and probability
- Arithmetic, calculus, trigonometry, and statistics
What does most mathematical activity involve?
What does most mathematical activity involve?
- Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
- Memorization of formulas and algorithms
- Visualization of geometric shapes and patterns
- Application of statistical methods to solve problems
What do proofs in mathematics consist of?
What do proofs in mathematics consist of?
- A series of experiments to validate hypotheses
- A collection of empirical observations
- A set of assumptions based on intuition
- A succession of applications of deductive rules to already established results (correct)
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 a common definition for their academic discipline?
What is the nature of the general consensus among mathematicians about a common definition for their academic discipline?
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What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
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What do most mathematical activity involve?
What do most mathematical activity involve?
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What do proofs in mathematics consist of?
What do proofs in mathematics consist of?
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What is the nature of the general consensus among mathematicians about a common definition for their academic discipline?
What is the nature of the general consensus among mathematicians about a common definition for their academic discipline?
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What are the objects of mathematical study in modern mathematics?
What are the objects of mathematical study in modern mathematics?
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