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What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
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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Are the fundamental truths of mathematics dependent on scientific experimentation?
Are the fundamental truths of mathematics dependent on scientific experimentation?
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