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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
How is mathematical activity typically conducted?
How is mathematical activity typically conducted?
by discovering properties of abstract objects and proving them using pure reason
What are the two types of objects in modern mathematics?
What are the two types of objects in modern mathematics?
abstractions from nature and entities with stipulated properties (axioms)
What does a proof consist of?
What does a proof consist of?
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What are the starting points of a theory in abstraction from nature?
What are the starting points of a theory in abstraction from nature?
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