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What are the major subdisciplines of modern mathematics that represent the topics of numbers, formulas, shapes, and quantities?
What are the major subdisciplines of modern mathematics that represent the topics of numbers, formulas, shapes, and quantities?
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
In what areas is mathematics essential?
In what areas is mathematics essential?
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Which areas of mathematics are often grouped under applied mathematics and developed in close correlation with their applications?
Which areas of mathematics are often grouped under applied mathematics and developed in close correlation with their applications?
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