Mathematics Mastery
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Questions and Answers

Name 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 are the two types of objects in modern mathematics?

abstractions from nature or entities that are stipulated to have certain properties

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 some true starting points of a theory in mathematics?

<p>previously proved theorems, axioms, and basic properties that are considered true</p> Signup and view all the answers

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