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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 some basic properties
In what fields is mathematics essential?
In what fields is mathematics essential?
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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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