Mathematics Mastery
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Mathematics Mastery

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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?

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</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

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