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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Number theory, algebra, geometry, and analysis (correct)
- Arithmetic, calculus, topology, and logic
- Probability, differential equations, cryptography, and combinatorics
- Calculus, trigonometry, algebra, and statistics
What is the primary method used in mathematical activity?
What is the primary method used in mathematical activity?
- Experimental testing and observation
- Intuition and guesswork
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
- Trial and error
What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
- A succession of applications of deductive rules to already established results (correct)
- A collection of experimental data
- A series of assumptions and estimations
- A set of hypothetical scenarios
What do mathematical objects consist of in modern mathematics?
What do mathematical objects consist of in modern mathematics?
What is the nature of the properties considered true starting points of a mathematical theory?
What is the nature of the properties considered true starting points of a mathematical theory?
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