Podcast Beta
Questions and Answers
What are the major subdisciplines of modern mathematics?
Number theory, algebra, geometry, and analysis
What does most mathematical activity involve?
The discovery of properties of abstract objects and the use of pure reason to prove them
In modern mathematics, what do objects consist of?
Abstractions from nature or entities stipulated to have certain properties, called axioms
What does a proof in mathematics consist of?
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In what fields is mathematics essential?
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