On the Interpretation of Point in Geometry

Asked Apr 17 '21 at 15:57

Active Apr 17 '21 at 15:57

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It is said that the point is 0 dimensional and essentially defines a location. Now, what is the size of the location it represents? What I mean is what is the size of the location characterized as X point?

I know I am confusing the abstract with the physical world but I cannot seem to solve this misinterpretation. Could anyone please tell me the correct interpretation of a point in the mathematical sense?

Moving on, it is said that a line can be thought of as a collection of points, but if the points themselves are of 0 lengths, then how can a collection of points be of any length?

asked Apr 17 '21 at 15:57

Sathvik R.

Related (duplicate?): "How can points that have length zero result in a line segment with finite length?", "If point is zero-dimensional, how can it form a finite one dimensional line?". A site search will likely yield others. – Blue Apr 17 '21 at 16:38
The length of a line segment does not come from adding up the "lengths" of the points on it. It cannot. The length must come from somewhere else. That is pointed out in various ways in the better answers to the other questions. – David K Apr 17 '21 at 18:07
This is actually a question of philosophy ( of mathematics ). Read this, this and this – May 03 '21 at 14:27

On the Interpretation of Point in Geometry

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