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Questions and Answers
What are the major subdisciplines of modern mathematics?
number theory, algebra, geometry, and analysis
What do most mathematical activities involve?
the discovery of properties of abstract objects and the use of pure reason to prove them
What are the two types of objects in mathematics?
abstractions from nature and entities stipulated to have certain properties
What does a proof 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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