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Questions and Answers
What is the primary method used in mathematical activity mentioned in the text?
What is the primary method used in mathematical activity mentioned in the text?
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
- Experimental observation and testing
- Relying solely on historical mathematical principles
- Intuition and guesswork
What are the major subdisciplines of modern mathematics mentioned in the text?
What are the major subdisciplines of modern mathematics mentioned in the text?
- Algebra, calculus, topology, and probability
- Number theory, statistics, topology, and geometry
- Number theory, algebra, geometry, and analysis (correct)
- Arithmetic, calculus, trigonometry, and statistics
What do mathematical proofs consist of?
What do mathematical proofs consist of?
- A collection of random mathematical statements
- A series of experimental trials
- A succession of applications of deductive rules to already established results (correct)
- A compilation of historical mathematical conjectures
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 area of knowledge that includes topics of numbers, formulas, shapes, and quantities?
What is the area of knowledge that includes topics of numbers, formulas, shapes, and quantities?
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