Questions and Answers
Name the major subdisciplines of modern mathematics.
number theory, algebra, geometry, and analysis
What is the main activity in mathematics?
the discovery of properties of abstract objects and the use of pure reason to prove them
What are the two types of objects in modern mathematics?
abstractions from nature or entities that are stipulated to have certain properties
What does a proof consist of?
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What are some true starting points of a theory in mathematics?
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