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 main activity in mathematics?

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

What does a proof consist of?

a succession of applications of deductive rules to already established results

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

Is there a common definition for mathematics?

<p>No, there is no general consensus among mathematicians about a common definition for their academic discipline</p> Signup and view all the answers

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