Papers › Rationally Querying the Reals

Rationally Querying the Reals

30 Apr 2023arXiv:2305.00981links table onlyarchive 2025-07-28

James Taylor

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A new definition of a real number is that it is a rule which says Yes or No based on whether the real number ought to be in a given rational interval. This is a teaser paper for formalizing, exploring, and generalizing this definition. The full exploration is given in the paper "Defining Real Numbers as Oracles".

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