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What is the definition of a point in mathematics?
Points are the simplest shapes and the most basic components of geometric figures. As an object in 1 0 dimensional space. In other fields, point is also the object of discussion.

In Euclidean geometry, a point is a figure with only position but no size in space. Points are the basis of the whole Euclidean geometry. Euclid initially vaguely defined a point as "something without parts". In the two-dimensional Euclidean space, 1 points are expressed as 1 ordered number pairs. Similarly, in Cartesian coordinate system, any 1 point can be accurately located.

In modern mathematical language, the elements of any set are called "points", but they may have nothing to do with points in three-dimensional space.