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What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Calculus, trigonometry, algebra, and statistics
- Probability, differential equations, combinatorics, and set theory
- Number theory, algebra, geometry, and analysis (correct)
- Arithmetic, calculus, topology, and logic
How is mathematical activity described in the text?
How is mathematical activity described in the text?
- Primarily focuses on practical applications and real-world problem-solving
- Involves the discovery of properties of abstract objects and the use of pure reason to prove them (correct)
- Involves the study of concrete objects and their physical properties
- Relies on trial and error methods to establish results
What do mathematical proofs consist of?
What do mathematical proofs consist of?
- A series of experimental trials to validate a hypothesis
- A set of logical guesses and assumptions
- A succession of applications of deductive rules to already established results (correct)
- A collection of empirical observations and data analysis
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 abstract objects in mathematics consist of?
What do abstract objects in mathematics consist of?
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