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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?

Qmechanic
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    A point doesn't really "exist" in mathematics either. It's the result of a limit. https://en.wikipedia.org/wiki/Cardinality_of_the_continuum – Brandon Enright Jun 01 '13 at 19:55
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    Related: http://physics.stackexchange.com/questions/35674/is-time-continuous and http://physics.stackexchange.com/questions/4453/how-could-spacetime-become-discretised-at-the-planck-scale – Brandon Enright Jun 01 '13 at 19:57
  • Also closely related to http://physics.stackexchange.com/questions/64197/is-there-anything-physically-infinite . – Yvan Velenik Jun 01 '13 at 20:09

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