Originally posted by shunyadragon
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The process of continuously dividing a line into smaller and smaller sections is "potentially infinite." It is an iterative process which can be iterated indefinitely.
The number of points which compose the line, on modern geometry, is "actually infinite." That is, there are an infinite number of points which coexist together in the object which we call a line.
Hansgeorg seems to reject all number theory which was developed after about 100 CE, so it's not really surprising that he would reject the idea of actual infinites.
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