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In mathematics, is a point a sphere or some other shape? Does a point have a shape?

In physics is there any difference?

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    $\begingroup$ The first question should be on the MathSE. Re the second question, as far as I know physicists and mathematicians treat points in the same way. $\endgroup$ – John Rennie Feb 26 '14 at 7:10
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Define a point as an address in space. Hence a point is of zero width because any continuous region with size greater than zero is defined as a set of multiple points to meet the definition of continuity. This allows a point to distinguish a location from any other regardless of how closely it is inspected. A quoted definition reads "...[points] do not have volume, area, length..."

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What do you mean by shape? In mathematics, a point is just a point, and is different from a sphere in almost every setting (i.e. category) I know.

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