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What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Calculus, statistics, trigonometry, and topology
- Arithmetic, calculus, algebra, and probability
- Geometry, topology, number theory, and statistics
- Number theory, algebra, geometry, and analysis (correct)
What does most mathematical activity involve?
What does most mathematical activity involve?
- Experimental testing of mathematical concepts
- Application of statistical methods to solve problems
- Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
- Memorization of formulas and algorithms
What do mathematical proofs consist of?
What do mathematical proofs consist of?
- A series of experimental trials to verify a hypothesis
- A set of random mathematical statements
- A collection of mathematical problems and their solutions
- A succession of applications of deductive rules to already established results (correct)
What are the objects of mathematical proofs in modern mathematics?
What are the objects of mathematical proofs in modern mathematics?
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What is the nature of mathematical activity according to the text?
What is the nature of mathematical activity according to the text?
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What are the major subdisciplines represented in modern mathematics?
What are the major subdisciplines represented in modern mathematics?
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What does most mathematical activity involve?
What does 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 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 properties that are considered true starting points of a mathematical theory?
What is the nature of the properties that are considered true starting points of a mathematical theory?
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