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What do most mathematical activities involve?
What do most mathematical activities involve?
the discovery of properties of abstract objects and the use of pure reason to prove them
Name four major subdisciplines of modern mathematics.
Name four major subdisciplines of modern mathematics.
number theory, algebra, geometry, and analysis
What are proofs in mathematics composed of?
What are proofs in mathematics composed of?
a succession of applications of deductive rules to already established results
What are the two types of objects that mathematical objects consist of?
What are the two types of objects that mathematical objects consist of?
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What are the starting points of a theory in mathematics called?
What are the starting points of a theory in mathematics called?
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