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Questions and Answers
What are the major subdisciplines of modern mathematics?
The major subdisciplines of modern mathematics are number theory, algebra, geometry, and analysis.
What does mathematical activity involve?
Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them.
What does a proof in mathematics consist of?
A proof consists of a succession of applications of deductive rules to already established results, including previously proved theorems, axioms, and basic properties.
In which fields is mathematics essential?
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Are the fundamental truths of mathematics dependent on scientific experimentation?
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