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Explain the major subdisciplines of modern mathematics as represented in the text.
Explain the major subdisciplines of modern mathematics as represented in the text.
The major subdisciplines of modern mathematics are number theory, algebra, geometry, and analysis.
What does most mathematical activity involve according to the text?
What does most mathematical activity involve according to the text?
Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them.
What does a proof consist of in mathematics according to the text?
What does a proof consist of in mathematics according to the text?
A proof consists of a succession of applications of deductive rules to already established results.
How is mathematics essential in various fields according to the text?
How is mathematics essential in various fields according to the text?
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Explain the relationship between some areas of mathematics and their applications according to the text.
Explain the relationship between some areas of mathematics and their applications according to the text.
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