Boltzmannbrain Posted February 28 Share Posted February 28 The real numbers cannot have a next number, but I don't understand how that can be logical. For example, consider the segment inclusively from 1 to 2, so there are the numbers 1 and 2 at each end of the segment. We can take off a number like 1.3 or 2 from it. If we take the number 2 away, we are left with something like the segment 1 to the limit 2 - 1/x as x goes to infinity (or whatever it is). So my ultimate question is, why can we take off the end of the segment if it is something that we call 2, but we can't take off another number? The segment only has real numbers; what makes 2 so special that it can end a segment and be removable? Link to comment Share on other sites More sharing options...
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