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Are consecutive numbers limited to integers?

Updated: 8/21/2019
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8y ago

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Yes. This is because rational and Irrational Numbers are infinitely dense. Between any two such numbers there are infinitely many numbers and consequently there can be no "next" or consecutive number.

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8y ago
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8y ago

Yes, I believe they are. There is really no reasonable way to define "consecutive", for example, for arbitrary fractions; you can't say that a certain fraction is the "next number" after (say) 3/4, since for ANY two different fractions, you can always find a number between the two (just calculate the average of the two).

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Q: Are consecutive numbers limited to integers?
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