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What are the major subdisciplines of modern mathematics according to the text?
What are the major subdisciplines of modern mathematics according to the text?
- Linear algebra, probability, calculus, and discrete mathematics
- Trigonometry, differential equations, logic, and combinatorics
- Arithmetic, calculus, statistics, and topology
- Number theory, algebra, geometry, and analysis (correct)
What does most mathematical activity involve according to the text?
What does most mathematical activity involve according to the text?
- Observation of natural phenomena and application of empirical evidence
- Verification of existing mathematical theorems through computational methods
- Trial and error experimentation with mathematical concepts
- Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
What do mathematical objects consist of according to the text?
What do mathematical objects consist of according to the text?
- Abstractions from nature or entities stipulated to have certain properties (correct)
- Quantifiable measurements and empirical data
- Physical representations of mathematical concepts
- Purely theoretical constructs with no real-world application
What does a proof in mathematics consist of according to the text?
What does a proof in mathematics consist of according to the text?
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What are considered as true starting points of a mathematical theory according to the text?
What are considered as true starting points of a mathematical theory according to the text?
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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 does most mathematical activity involve?
What does most mathematical activity involve?
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What do mathematical objects consist of in modern mathematics?
What do mathematical objects consist of in modern mathematics?
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What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
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What do mathematicians lack consensus on?
What do mathematicians lack consensus on?
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