Mathematics

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What are the major subdisciplines of modern mathematics?

Number theory, algebra, geometry, and analysis

What does mathematical activity primarily involve?

Discovery of properties of abstract objects and use of pure reason to prove them

What do mathematical proofs consist of?

A succession of applications of deductive rules to already established results

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

There is no general consensus among mathematicians

What are the objects of mathematical proofs in modern mathematics?

Entities that are stipulated to have certain properties, called axioms

Test your knowledge of mathematics with this quiz covering number theory, algebra, geometry, and analysis. Challenge yourself with questions on numbers, formulas, shapes, and quantities. See how well you understand these fundamental concepts and their applications in modern mathematics.

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