गणित का जादू

Number theory, algebra, geometry, and analysis

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

Abstractions from nature or entities stipulated to have certain properties, called axioms

A succession of applications of deductive rules to already established results, including previously proved theorems, axioms, and basic properties

Some basic properties that are considered true starting points of the theory

200

Number theory, algebra, geometry, and analysis

There is no general consensus

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

Entities that are stipulated to have certain properties, called axioms

A succession of applications of deductive rules to already established results

Number theory, algebra, geometry, and analysis

Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them.

A proof consists of a succession of applications of deductive rules to already established results.

Entities in modern mathematics are stipulated to have certain properties, called axioms.

Some basic properties that are considered true starting points of the theory.