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Questions and Answers
Explain the major subdisciplines of modern mathematics mentioned in the text.
The major subdisciplines of modern mathematics mentioned in the text are number theory, algebra, geometry, and analysis.
What is the main activity of most mathematical work according to the text?
The main activity of most mathematical work involves the discovery of properties of abstract objects and the use of pure reason to prove them.
What does a proof consist of in mathematics?
A proof consists of a succession of applications of deductive rules to already established results, including previously proved theorems, axioms, and some basic properties.
What are the objects in modern mathematics made of?
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What is the lack of general consensus among mathematicians about, according to the text?
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