Mathematics Mastery
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Questions and Answers

What are the major subdisciplines of modern mathematics?

number theory, algebra, geometry, and analysis

What is the general consensus among mathematicians about a common definition for mathematics?

There is no general consensus

What does most mathematical activity involve?

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

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

What are the objects in mathematics?

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

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