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Questions and Answers
What does most mathematical activity involve?
the discovery of properties of abstract objects and the use of pure reason to prove them
What are the major subdisciplines of modern mathematics?
number theory, algebra, geometry, and analysis
What do mathematical objects consist of in modern mathematics?
abstractions from nature or entities that are stipulated to have certain properties, called axioms
What does a proof in mathematics consist of?
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Is there a general consensus among mathematicians about a common definition for their academic discipline?
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