Questions and Answers
What are the major subdisciplines of modern mathematics?
Number theory, algebra, geometry, and analysis
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 in mathematics?
A succession of applications of deductive rules to already established results
In which academic disciplines is mathematics essential?
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What are some areas of mathematics that are developed in close correlation with their applications and are often grouped under applied mathematics?
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