Mathematics Fundamentals Quiz
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Questions and Answers

What does most mathematical activity involve?

the 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 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

In mathematical activity, what do the objects consist of?

<p>abstractions from nature or entities that are stipulated to have certain properties, called axioms</p> Signup and view all the answers

What are the major subdisciplines of modern mathematics?

<p>Number theory, algebra, geometry, and analysis</p> Signup and view all the answers

What does most mathematical activity involve?

<p>The discovery of properties of abstract objects and the use of pure reason to prove them</p> Signup and view all the answers

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 the objects that consist of abstractions from nature or stipulated entities in modern mathematics?

<p>Entities that are stipulated to have certain properties, called axioms</p> Signup and view all the answers

What are the topics represented in modern mathematics?

<p>Numbers, formulas, related structures, shapes, and the spaces in which they are contained, and quantities and their changes</p> Signup and view all the answers

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