Mathematics Mastery
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Questions and Answers

What are the major subdisciplines of mathematics?

number theory, algebra, geometry, and analysis

How do mathematicians define their academic discipline?

There is no general consensus among mathematicians about a common definition

What is the main activity in mathematics?

The discovery of properties of abstract objects and the use of pure reason to prove them

What are the objects in mathematics?

<p>Abstractions from nature or entities that are stipulated to have certain properties, called axioms</p> Signup and view all the answers

What does a proof consist of?

<p>A succession of applications of deductive rules to already established results</p> Signup and view all the answers

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