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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 do mathematicians typically prove properties of abstract objects?
How do mathematicians typically prove properties of abstract objects?
through the use of pure reason and deductive rules
What are the two types of objects that modern mathematics deals with?
What are the two types of objects that modern mathematics deals with?
abstractions from nature and entities with stipulated properties
What is mathematics?
What is mathematics?
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Is there a common definition for mathematics agreed upon by all mathematicians?
Is there a common definition for mathematics agreed upon by all mathematicians?
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