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What are the major subdisciplines of modern mathematics mentioned in the text?
What are the major subdisciplines of modern mathematics mentioned in the text?
- Logic, topology, calculus, and probability
- Algebra, calculus, geometry, and statistics
- Arithmetic, calculus, statistics, and trigonometry
- Number theory, algebra, geometry, and analysis (correct)
What does most mathematical activity involve?
What does most mathematical activity involve?
- Application of statistical methods
- Memorization of formulas and algorithms
- Experimentation with physical objects
- Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
What do mathematical objects consist of in modern mathematics?
What do mathematical objects consist of in modern mathematics?
- Physical objects found in nature
- Entities that are stipulated to have certain properties, called axioms (correct)
- Randomly selected elements
- Entities that are proven to exist through experimentation
What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
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What are considered as the starting points of a theory in modern mathematics?
What are considered as the starting points of a theory in modern mathematics?
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What are the major subdisciplines of modern mathematics mentioned in the text?
What are the major subdisciplines of modern mathematics mentioned in the text?
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What does most mathematical activity involve according to the text?
What does most mathematical activity involve according to the text?
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What do mathematical proofs consist of?
What do mathematical proofs consist of?
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What are the entities in modern mathematics stipulated to have certain properties called?
What are the entities in modern mathematics stipulated to have certain properties called?
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What is the general consensus among mathematicians about a common definition for their academic discipline?
What is the general consensus among mathematicians about a common definition for their academic discipline?
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