Mathematics Fundamentals Quiz
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Questions and Answers

What are the major subdisciplines of modern mathematics?

number theory, algebra, geometry, and analysis

What does mathematical activity primarily involve?

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

What do mathematical objects consist of in modern mathematics?

entities that are stipulated to have certain properties, called axioms

What does a proof in mathematics consist of?

<p>a succession of applications of deductive rules to already established results</p> Signup and view all the answers

How are theorems, axioms, and basic properties used in mathematical proofs?

<p>as already established results or true starting points of the theory</p> Signup and view all the answers

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