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 in modern mathematics consist of?

entities that are stipulated to have certain properties, called axioms

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 mathematical theory?

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

What are the topics included in the area of knowledge of mathematics?

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

What is the general consensus among mathematicians about a common definition for their academic discipline?

<p>There is no general consensus among mathematicians about a common definition for their academic discipline.</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 the mathematical objects in modern mathematics consist of?

<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, including previously proved theorems, axioms, and basic properties.</p> Signup and view all the answers

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