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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
What are the entities in modern mathematics stipulated to have certain properties called?
What are the entities in modern mathematics stipulated to have certain properties called?
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What are the starting points of the theory in abstraction from nature?
What are the starting points of the theory in abstraction from nature?
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