Logic and Language

Logic and Language

Copyright © James R Meyer 2012 - 2018 https://www.jamesrmeyer.com

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From time to time I get asked to comment on an incompleteness proof. Many of these proofs are so obviously flawed that it is easy to demonstrate where the flaw is. While initially I thought that I would deal with them all on the same page, I discovered that as more flawed proofs accumulate one page was becoming rather cumbersome, so I have now put them on separate pages, even if some of them can be dealt with in a few paragraphs. A list of the pages dealing with these obviously flawed proofs is given below.

- An Incompleteness Proof by Francesco Berto
- An Incompleteness Proof by Bernd Buldt
- An Incompleteness Proof by Dan Gusfield
- An Incompleteness Proof by Byunghan Kim
- An Incompleteness Proof by Arindama Singh
- An Incompleteness Proof by Antti Valmari

It is noteworthy that in many such proofs, the quality of the proof seems to be in inverse proportion to the esteem with which the authors view their own work.

For a detailed analysis of less obvious errors in some incompleteness proofs, see Errors in incompleteness proofs and Analysis of incompleteness proofs.

Diverse opinions and criticisms are welcome, but messages that are frivolous, irrelevant or devoid of logical basis will be blocked. Difficulties in understanding the site content are usually best addressed by contacting me by e-mail. Note: you will be asked to provide an e-mail address - any address will do, it does not require verification. Your e-mail will only be used to notify you of replies to your comments - it will never be used for any other purpose and will not be displayed. If you cannot see any comments below, see Why isn’t the comment box loading?.

There is now a paper that deals with the matter of language and the diagonal proof, see On Considerations of Language in the Diagonal Proof.

There is now a new page on a contradiction in Lebesgue measure theory.

I found that making, adding or deleting footnotes in the traditional manner proved to be a major pain. So I developed a different system for footnotes which makes inserting or changing footnotes a doddle. You can check it out at Easy Footnotes for Web Pages (Accessibility friendly).

I have now added a new section to my paper on Russell O’Connor’s claim of a computer verified incompleteness proof. This shows that the flaw in the proof arises from a reliance on definitions that include unacceptable assumptions - assumptions that are not actually checked by the computer code. See also the new page Representability.

For convenience, there are now two pages on this site with links to various material relating to Gödel and the Incompleteness Theorem

– a page with general links:

– and a page relating specifically to the Gödel mind-machine debate:

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Please note that this web site, like any other is a collection of various statements. Not all of this web site is intended to be factual. Some of it is personal opinion or interpretation.

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Copyright © James R Meyer 2012 - 2018

https://www.jamesrmeyer.com