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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?
What does a proof consist of?
a succession of applications of deductive rules to already established results
In modern mathematics, what do objects consist of?
In modern mathematics, what do objects consist of?
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What are considered true starting points of a mathematical theory?
What are considered true starting points of a mathematical theory?
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