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Oh no ! Yet Another Flawed Incompleteness Proof

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.

 

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.

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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?.

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The Lighter Side

NEWS

Recently added pages

The Platonist Rod paradox

 

The Balls in the Urn Paradox

 

How you can tell if someone is a crackpot

 

Platonism’s Logical Blunder

 

Richard’s Paradox

 

Alexander’s Horned Sphere

 

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Lebesgue Measure

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

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Illogical Assumptions

There is now a new page Halbach and Zhang’s Yablo without Gödel which analyzes the illogical assumptions used by Halbach and Zhang.

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Easy Footnotes

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).

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O’Connor’s “computer checked” proof

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.

Previous Blog Posts

The duplicity of Mark Chu-Carroll

A John Searle Inanity

Man versus Machine

Fake News and Fake Mathematics

Ned Block’s Blockhead

Are we alone in the Universe?

Good Math, Bad Math?

Bishops Dancing with Pixies?

Artificial Intelligence

Cranks and Crackpots

The Chinese Room

Links

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:

Gödel Links

 

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

Gödel, Minds, and Machines

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Comments

Comments on this site are welcome, please see the comment section.

 

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.

 

If you prefer to ask me directly about the material on this site, please send me an e-mail with your query, and I will attempt to reply promptly.

 

Feedback about site design would also be appreciated so that I can improve the site.


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