Mathematics

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Questions and Answers

Name the major subdisciplines of modern mathematics.

number theory, algebra, geometry, and analysis

What is the purpose of a proof in mathematics?

to establish the truth of a mathematical statement

What are axioms in mathematics?

entities that are stipulated to have certain properties

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

Is there a general consensus among mathematicians about a common definition for mathematics?

<p>no</p> Signup and view all the answers

Flashcards

Major subdisciplines of mathematics

The primary areas include number theory, algebra, geometry, and analysis.

Purpose of a proof

To establish the truth of a mathematical statement.

Axioms in mathematics

Entities that are stipulated to have certain properties.

Mathematical activity

Involves discovering properties of abstract objects and using pure reason to prove them.

Signup and view all the flashcards

Consensus on definition of mathematics

There is no general consensus among mathematicians about a common definition for mathematics.

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