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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?
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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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