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This question already has an answer here:

In mathematics we can have an infinite number of points between two integers.

This is really circular logic since a point is defined as infinitely small.

Does a point exist anywhere in the physical world or is it simply a convenient mathematical abstraction with no place in reality.

Is space actually divided into infinitely small points? What about time?

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marked as duplicate by Brandon Enright, Ben Crowell, Waffle's Crazy Peanut, akhmeteli, Qmechanic Jun 1 '13 at 20:38

This question was marked as an exact duplicate of an existing question.

A point doesn't really "exist" in mathematics either. It's the result of a limit. – Brandon Enright Jun 1 '13 at 19:55
Also closely related to… . – Yvan Velenik Jun 1 '13 at 20:09