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What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
number theory, algebra, geometry, and analysis
What does most mathematical activity involve?
What does most mathematical activity involve?
the discovery of properties of abstract objects and the use of pure reason to prove them
What do mathematical objects consist of in modern mathematics?
What do mathematical objects consist of in modern mathematics?
entities that are stipulated to have certain properties, called axioms
What does a proof consist of in mathematics?
What does a proof consist of in mathematics?
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What are some of the established results used in a mathematical proof?
What are some of the established results used in a mathematical proof?
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