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arXiv · 1308.0497

A note reviewing Turing's 1936

Paola Cattabriga
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Abstract

By closely rereading the original Turing's 1936 article, we can gain insight about that it is based on the claim to have defined a number which is not computable, arguing that there can be no machine computing the diagonal on the enumeration of the computable sequences. This article provides a careful analysis of Turing's original argument, demonstrating that it cannot be regarded as a conclusive proof. Furthermore, it shows that there is no evidence supporting the existence of a defined number that is not computable.

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Paola Cattabriga. 2025-11-05. A note reviewing Turing's 1936. https://arxiv.org/abs/1308.0497

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