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What are the major subdisciplines of modern mathematics according to the text?
What are the major subdisciplines of modern mathematics according to the text?
- Calculus, statistics, trigonometry, and topology
- Arithmetic, calculus, algebra, and topology
- Geometry, statistics, arithmetic, and analysis
- Number theory, algebra, geometry, and analysis (correct)
What is the primary method used in mathematical activity according to the text?
What is the primary method used in mathematical activity according to the text?
- Trial and error to find solutions to mathematical problems
- Relying on intuition to develop mathematical concepts
- Observation of natural phenomena and generalizing mathematical principles
- Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
What do mathematical proofs consist of according to the text?
What do mathematical proofs consist of according to the text?
- A series of experimental demonstrations
- An accumulation of mathematical conjectures
- A succession of applications of deductive rules to already established results (correct)
- Logical reasoning without the need for established results
What are the objects of mathematical study according to the text?
What are the objects of mathematical study according to the text?
What is the general consensus among mathematicians about a common definition for their academic discipline according to the text?
What is the general consensus among mathematicians about a common definition for their academic discipline according to the text?
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
What does mathematical activity primarily involve?
What does mathematical activity primarily involve?
What do mathematical proofs consist of?
What do mathematical proofs consist of?
What is the primary method used in mathematical activity?
What is the primary method used in mathematical activity?
What are the objects of mathematical study?
What are the objects of mathematical study?
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