Difference between revisions of "Point (mathematics)"

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== Description ==
 
== Description ==
  
More specifically, in Euclidean geometry, a point is a primitive notion upon which the geometry is built.
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More specifically, in [[Euclidean geometry]], a point is a primitive notion upon which the geometry is built.
  
 
Being a primitive notion means that a point cannot be defined in terms of previously defined objects.
 
Being a primitive notion means that a point cannot be defined in terms of previously defined objects.

Revision as of 14:40, 22 May 2016

In modern mathematics, a point refers usually to an element of some set called a space.

Description

More specifically, in Euclidean geometry, a point is a primitive notion upon which the geometry is built.

Being a primitive notion means that a point cannot be defined in terms of previously defined objects.

That is, a point is defined only by some properties, called axioms, that it must satisfy.

In particular, the geometric points do not have any length, area, volume, or any other dimensional attribute.

A common interpretation is that the concept of a point is meant to capture the notion of a unique location in Euclidean space.

See also

External links