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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Geometry, statistics, number theory, and logic
- Algebra, calculus, topology, and logic
- Number theory, algebra, geometry, and analysis (correct)
- Arithmetic, calculus, trigonometry, and statistics
What is the primary method of mathematical proof?
What is the primary method of mathematical proof?
- Intuition and guesswork
- Consensus among mathematicians
- Experimental validation
- Succession of applications of deductive rules (correct)
What are the objects of mathematical study composed of?
What are the objects of mathematical study composed of?
- Empirical data and observations
- Abstractions from nature or entities stipulated to have certain properties (correct)
- Physical materials and real-life scenarios
- Hypotheses and conjectures
What does most mathematical activity involve?
What does most mathematical activity involve?
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What is the nature of the properties considered true starting points of the theory?
What is the nature of the properties considered true starting points of the theory?
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