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Explain the major subdisciplines of modern mathematics as mentioned in the text.
Explain the major subdisciplines of modern mathematics as mentioned in the text.
The major subdisciplines of modern mathematics mentioned in the text are number theory, algebra, geometry, and analysis.
How are proofs defined in mathematics?
How are proofs defined in mathematics?
In mathematics, a proof consists of a succession of applications of deductive rules to already established results, including previously proved theorems, axioms, and basic properties.
What is the general nature of mathematical activity according to the text?
What is the general nature of mathematical activity according to the text?
According to the text, most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them.
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 does mathematical activity involve in terms of abstract objects?
What does mathematical activity involve in terms of abstract objects?
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