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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 mathematical activity involve?
What does 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?
What do mathematical objects consist of?
Abstractions from nature or entities stipulated to have certain properties, called axioms.
What does a proof consist of?
What does a proof consist of?
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What is the nature of the current consensus among mathematicians regarding a common definition for their academic discipline?
What is the nature of the current consensus among mathematicians regarding a common definition for their academic discipline?
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