Questions and Answers
What are the major subdisciplines represented in modern mathematics?
Number theory, algebra, geometry, and analysis
What does most mathematical activity involve?
Discovery of properties of abstract objects and the use of pure reason to prove them
What do proofs in mathematics consist of?
A succession of applications of deductive rules to already established results
Which fields extensively use mathematics for modeling phenomena?
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What are some areas of mathematics developed in close correlation with their applications?
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