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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Logic, probability, topology, and differential equations
- Calculus, trigonometry, statistics, and arithmetic
- Set theory, combinatorics, linear algebra, and calculus
- Number theory, algebra, geometry, and analysis (correct)
What is the main activity in mathematics according to the text?
What is the main activity in mathematics according to the text?
- Memorization of mathematical formulas and theorems
- Experimentation with real-world objects and deriving conclusions
- Discovery of properties of abstract objects and using pure reason to prove them (correct)
- Application of mathematical principles in engineering and technology
What do mathematical proofs consist of?
What do mathematical proofs consist of?
- A series of experimental tests and observations
- A collection of mathematical problems and their solutions
- A succession of applications of deductive rules to already established results (correct)
- A set of random assumptions and conjectures
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 is the lack of general consensus among mathematicians about?
What is the lack of general consensus among mathematicians about?
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