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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 consist of?
What does a proof consist of?
a succession of applications of deductive rules to already established results
What are some areas of mathematics that are developed in close correlation with their applications?
What are some areas of mathematics that are developed in close correlation with their applications?
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In what areas is mathematics essential?
In what areas is mathematics essential?
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