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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 consist of in mathematics?
What does a proof consist of in mathematics?
a succession of applications of deductive rules to already established results
In which fields is mathematics essential?
In which fields 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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