Mathematics Mastery

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Questions and Answers

What are the major subdisciplines of modern mathematics?

Number theory, algebra, geometry, and analysis.

What are the two types of objects in mathematics?

Abstractions from nature and entities that are stipulated to have certain properties.

What is the main activity in mathematics?

The discovery of properties of abstract objects and the use of pure reason to prove them.

What is a proof in mathematics?

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

What do mathematical results include?

<p>Previously proved theorems, axioms, and abstractions from nature or stipulated entities.</p> Signup and view all the answers

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