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What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Logic, differential equations, combinatorics, and graph theory
- Arithmetic, calculus, topology, and algebra
- Calculus, trigonometry, statistics, and probability
- Number theory, algebra, geometry, and analysis (correct)
What does most mathematical activity involve?
What does most mathematical activity involve?
- Memorization of numerical values and application of statistical methods
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
- Manipulation of physical objects and observation of their behavior
- Collection of empirical data and formulation of hypotheses
What do mathematical objects consist of in modern mathematics?
What do mathematical objects consist of in modern mathematics?
- Properties derived from intuitive reasoning
- Empirical data collected from experiments
- Entities stipulated to have certain properties, called axioms (correct)
- Physical objects found in nature
What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
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What are the starting points of a theory in mathematics?
What are the starting points of a theory in mathematics?
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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 are the starting points of a theory in mathematics?
What are the starting points of a theory in 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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