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What are the major subdisciplines of modern mathematics mentioned in the text?
What are the major subdisciplines of modern mathematics mentioned in the text?
- Arithmetic, calculus, trigonometry, and statistics
- Number theory, algebra, geometry, and analysis (correct)
- Logic, probability, topology, and differential equations
- Set theory, combinatorics, linear algebra, and calculus
What is the primary method used in mathematical activity, as mentioned in the text?
What is the primary method used in mathematical activity, as mentioned in the text?
- Extrapolation of patterns from historical data
- Discovery of properties of abstract objects and use of pure reason (correct)
- Experimentation and observation of natural phenomena
- Application of statistical analysis and data interpretation
What do mathematical proofs consist of, according to the text?
What do mathematical proofs consist of, according to the text?
- A series of experimental trials and error analysis
- A collection of empirical observations and inductive reasoning
- A sequence of intuitive guesses and logical assumptions
- A succession of applications of deductive rules to already established results (correct)
What are the abstract objects in modern mathematics stipulated to have?
What are the abstract objects in modern mathematics stipulated to have?
What is the nature of most mathematical objects in modern mathematics?
What is the nature of most mathematical objects in modern mathematics?
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
What is the primary method used in mathematical activity?
What is the primary method used in mathematical activity?
What do proofs in mathematics consist of?
What do proofs in mathematics consist of?
What are the abstract objects in modern mathematics?
What are the abstract objects in modern mathematics?
What is the status of a common definition for the academic discipline of mathematics?
What is the status of a common definition for the academic discipline of mathematics?
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