Mathematics Mastery
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Questions and Answers

What is the main activity in mathematics?

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

What are the major subdisciplines of modern mathematics?

number theory, algebra, geometry, and analysis

What are proofs composed of?

a succession of applications of deductive rules to already established results

What are the properties of abstract objects called?

<p>axioms</p> Signup and view all the answers

What are considered true starting points of a theory?

<p>basic properties that are considered true starting points of the theory</p> Signup and view all the answers

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