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arXiv · 2305.00981

Rationally Querying the Reals

James Taylor
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Abstract

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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James Taylor. 2023-04-30. Rationally Querying the Reals. https://arxiv.org/abs/2305.00981

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