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 are the two types of objects in mathematics?

Abstractions from nature and entities with stipulated properties called axioms

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 considered true starting points of a theory?

<p>Previously proved theorems, axioms, and some basic properties</p> Signup and view all the answers

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