Questions and Answers
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 stipulated entities with certain properties
What do most mathematical activities involve?
Discovery of properties of abstract objects and the use of pure reason to prove them
What does a proof in mathematics consist of?
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What is the nature of the basic properties considered true starting points of a theory in mathematics?
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