Mathematics Fundamentals Quiz
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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 is the general consensus among mathematicians about a common definition for their academic discipline?

There is no general consensus

What does most mathematical activity 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?

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

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

What are the major subdisciplines of modern mathematics?

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

What does 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 do mathematical objects consist of in modern mathematics?

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

What does a proof consist of in mathematics?

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

What are considered as true starting points of a theory in mathematics?

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

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