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What are the objects in modern mathematics composed of?
What are the objects in modern mathematics composed of?
abstractions from nature or entities stipulated to have certain properties called axioms
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 does a proof in mathematics consist of?
What does a proof in mathematics consist of?
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What are some of the starting points for a theory in mathematics?
What are some of the starting points for a theory in mathematics?
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