Is it possible to make graphs of subsets of Rational Numbers in Mathem

AI Thread Summary
Creating subsets of rational numbers in Mathematica for graphing purposes poses challenges due to the density of rational numbers in any interval, such as [0, 1]. The discussion highlights the difficulty in graphing a set of rational numbers since they are dense, meaning that between any two rational numbers, there are infinitely many others. While the idea of graphing a segment with "holes" for irrational numbers was considered, it was concluded that this cannot be accurately represented in a traditional graphing sense. A workaround was found using a tablet and OneNote to visually illustrate the concept with open circles, but no direct solution in Mathematica was identified for this specific graphing task.
MidgetDwarf
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Is it possible to make subsets of rational numbers in Mathematica using the plot command, or any other command? Ie., say I want to graph the set of rational numbers from 0 to 1.
 
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The rationals are dense in [0,1]. What do you mean by "make subsets"? How would you "graph" a set?
 
Thats what I was thinking. Due to the density of ℚ its not possible. By graphing, I meant if it was possible to create a segment of say length 1, with "holes" (no irrationals). Ofcourse, it would not be an exact, but something that approximated it.

Anyways, it cannot be done. I found a workaround by using a tablet and using one note to draw open circles to illustrate what I was aiming for.

Thanks.
 
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