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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Geometry, probability, number theory, and differential equations
- Calculus, trigonometry, statistics, and topology
- Arithmetic, calculus, algebra, and statistics
- 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?
- Application of mathematical formulas in real-world scenarios
- Exploration of historical mathematical concepts
- Investigation of mathematical patterns in nature
- Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
What do mathematical proofs consist of?
What do mathematical proofs consist of?
- A set of probabilistic demonstrations
- A collection of mathematical conjectures
- A series of experimental validations
- A succession of applications of deductive rules to already established results (correct)
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 are the topics represented in modern mathematics?
What are the topics represented in modern mathematics?
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