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Questions and Answers
What are the major subdisciplines of modern mathematics?
Number theory, algebra, geometry, and analysis
How is most mathematical activity described in the text?
Involving the discovery of properties of abstract objects and the use of pure reason to prove them
What do proofs in mathematics consist of?
A succession of applications of deductive rules to already established results
What are the entities in modern mathematics stipulated to have?
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What are considered the true starting points of a theory in mathematics?
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What does most mathematical activity involve?
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What are the topics represented in modern mathematics with the major subdisciplines?
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What is the general consensus among mathematicians about a common definition for their academic discipline?
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What do objects in mathematics consist of in modern mathematics?
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What does a proof in mathematics consist of?
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