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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Algebra, calculus, topology, and logic
- Geometry, probability, number theory, and differential equations
- Number theory, algebra, geometry, and analysis (correct)
- Arithmetic, calculus, trigonometry, and statistics
What do most mathematical activity involve?
What do most mathematical activity involve?
- Experimentation with physical objects and observation of their behavior
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
- Memorization of formulas and application of algorithms
- Intuitive guessing and trial-and-error methods
What do mathematical objects in modern mathematics consist of?
What do mathematical objects in modern mathematics consist of?
- Observable and quantifiable phenomena in the universe
- Abstractions from nature or entities stipulated to have certain properties (correct)
- Physical objects and their measurable attributes
- Patterns and shapes found in natural phenomena
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 modern mathematics?
What are the starting points of a theory in modern mathematics?
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