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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.
How is mathematical activity described in the text?
How is mathematical activity described in the text?
Most mathematical activity involves 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 proof consists of a succession of applications of deductive rules to already established results.
What are the entities in modern mathematics stipulated to have?
What are the entities in modern mathematics stipulated to have?
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What are some basic properties considered true starting points of a mathematical theory?
What are some basic properties considered true starting points of a mathematical theory?
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