Mathematics 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 do mathematical objects consist of in modern mathematics?

Abstractions from nature or entities 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 including previously proved theorems, axioms, and basic properties</p> Signup and view all the answers

Is there a general consensus among mathematicians about a common definition for their academic discipline?

<p>No, there is no general consensus</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

In modern mathematics, what do mathematical objects consist of?

<p>entities that are stipulated to have certain properties, called axioms</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 in mathematics consist of?

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

What is the nature of the mathematical activity referred to in the text?

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

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