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What are the major subdisciplines of modern mathematics?
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?
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 consist of?
What does a proof consist of?
A proof consists of a succession of applications of deductive rules to already established results, including previously proved theorems, axioms, and some basic properties.
In which fields is mathematics essential?
In which fields is mathematics essential?
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Are the fundamental truths of mathematics independent from any scientific experimentation?
Are the fundamental truths of mathematics independent from any scientific experimentation?
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