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A comment on What are the 'real numbers', really?. Parent comment
A line is (or can be viewed as) an infinite set of points.
> To elaborate, no point could be "on" a line because a point has no extension, whereas a line does.
That seems to be a consequence of an unusual definition of "on".
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A line is (or can be viewed as) an infinite set of points.
> To elaborate, no point could be "on" a line because a point has no extension, whereas a line does.
That seems to be a consequence of an unusual definition of "on".