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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 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?
A succession of applications of deductive rules to already established results, including previously proved theorems, axioms, and basic properties.
What are the entities in modern mathematics stipulated to have?
What are the entities in modern mathematics stipulated to have?
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Is there a general consensus among mathematicians about a common definition for their academic discipline?
Is there a general consensus among mathematicians about a common definition for their academic discipline?
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