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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Logic, set theory, combinatorics, and differential equations
- Number theory, algebra, geometry, and analysis (correct)
- Arithmetic, calculus, trigonometry, and statistics
- Algebra, calculus, topology, and probability
What is the primary method of mathematical proof?
What is the primary method of mathematical proof?
- Trial and error
- Intuition and guesswork
- Succession of applications of deductive rules to already established results (correct)
- Empirical experimentation and observation
What do most mathematical activities involve?
What do most mathematical activities involve?
- Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
- Intuitive guesswork without formal reasoning
- Memorization of formulas and algorithms
- Application of mathematical principles to real-world problems
What are the entities in modern mathematics stipulated to have?
What are the entities in modern mathematics stipulated to have?
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What do mathematical proofs consist of?
What do mathematical proofs consist of?
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