Mathematics Fundamentals
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Mathematics Fundamentals

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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?

Entities that are stipulated to have certain properties, called axioms

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 considered true starting points of a theory in modern 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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