Mathematics Essentials Quiz
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Questions and Answers

What are the major subdisciplines of modern mathematics?

number theory, algebra, geometry, and analysis

What does most mathematical activity involve?

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

What does a proof consist of?

a succession of applications of deductive rules to already established results

What are the entities in modern mathematics stipulated to have?

<p>certain properties, called axioms</p> Signup and view all the answers

What do the results of a proof include?

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

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