A note reviewing Turing's 1936
Computational Complexity
2025-11-06 v4 Logic in Computer Science
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.
Keywords
Cite
@article{arxiv.1308.0497,
title = {A note reviewing Turing's 1936},
author = {Paola Cattabriga},
journal= {arXiv preprint arXiv:1308.0497},
year = {2025}
}
Comments
15 pages, for more information see http://paolacattabriga.wordpress.com/