| 11. | The real numbers cannot be indexed as phrased in the paradox.
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| 12. | Every real number other than zero is either positive or negative.
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| 13. | Real numbers can be constructed as Dedekind cuts of rational numbers.
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| 14. | Real numbers are defined as the equivalence classes of this relation.
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| 15. | Constraint logic programming with real numbers uses real expressions as terms.
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| 16. | The real number of Romani in Hungary is a disputed question.
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| 17. | Real numbers are also stored in a platform-specific range.
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| 18. | Computable real functions map computable real numbers to computable real numbers.
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| 19. | Computable real functions map computable real numbers to computable real numbers.
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| 20. | Therefore no positive integer power of u is a real number.
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