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?

discovery of properties of abstract objects and proving them using pure reason

What are some entities in modern mathematics?

abstractions from nature that have certain 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 in a theory?

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

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