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Jul
13
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Jun
8
comment Is it generally accepted that if you throw a dart at a number line you will NEVER hit a rational number?
@QiaochuYuan I was assuming that the only hypotheses being made were that the dart was sharp enough to hit a single point, that the number line contained all real numbers, and that neither of those hypotheses implied that it would be possible to verify if the dart hit a rational in a finite amount of time. I was trying to offer insight as to why one might think a dart could never hit a rational, because the intuitive thing to do after the dart hits is to check to see where it hit.
Jun
7
awarded  Teacher
Jun
7
answered Is it generally accepted that if you throw a dart at a number line you will NEVER hit a rational number?