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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
What does most mathematical activity involve?
What does most mathematical activity involve?
the discovery of properties of abstract objects and the use of pure reason to prove them
What do mathematical objects in modern mathematics consist of?
What do mathematical objects in modern mathematics consist of?
entities that are stipulated to have certain properties, called axioms
What does a proof consist of in mathematics?
What does a proof consist of in mathematics?
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What are considered as true starting points of a mathematical theory?
What are considered as true starting points of a mathematical theory?
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What are the topics included in the area of knowledge of mathematics?
What are the topics included in the area of knowledge of mathematics?
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What is the general consensus among mathematicians about a common definition for their academic discipline?
What is the general consensus among mathematicians about a common definition for their academic discipline?
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What does mathematical activity involve?
What does mathematical activity involve?
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What do the mathematical objects in modern mathematics consist of?
What do the mathematical objects in modern mathematics consist of?
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What does a proof consist of in mathematics?
What does a proof consist of in mathematics?
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