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On the Problem of "Point" in Mathematics
Theoretically, a point is an infinitesimal point with no area.

Specifically, you can look at the definition of point.

Definition of point: Point is a relative concept, and it is a negligible shape compared with other contrasts.

1, a point is tangible, that is, it can be a line segment or a curve, a point can be a plane figure such as a triangle, a quadrilateral or a fan, or a three-dimensional object such as a ball, a cone, a person, the earth and the sun. Compared with the earth, man can be regarded as a point, just like man. Compared with people, a dandruff on the human body is a universe, and people cannot be regarded as a point. However, dandruff, no matter what shape it looks like to the naked eye after enlargement, is a point, and the point can be any dandruff shape.

2. A point is a shape whose length, area and volume can be relatively ignored. A point has length, area and volume, but compared with other contrasts, it is too small to be ignored. If you can't ignore it, you can't call it a point. For example, if you look at an island in the Pacific Ocean from the air, the shape and size of the island can be ignored, and the island can be regarded as a point. But a person walking on the island can't ignore its area, the distance between two trees on the island can't be ignored, and the island can't be regarded as a point.