Q:

# What is the set of all points called?

A:

The set of all points is called space. Space is taken as the largest possible set in geometry and algebra. Points, lines, line segments, rays, angles and planes are all considered as subsets of space.

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In the study of Euclidean geometry, space is taken as an undefined term. The notion of space is intuitive, and it is three dimensional in nature. Space is infinite and has no boundaries. It is similar to the notion of space as explained by cosmologists and astronomers. However, axioms, theorems and postulates are used to study and explain space in mathematical terms when studying geometry.

In set theory, space is considered as the universal set. For the set of all stars and galaxies, the universal set is space.

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