FOM Posting on A. Kiselev’s claim that “There are no weakly inaccessible cardinals” in ZF

Alex Kiselev claims to have shown “There are no weakly inaccessible cardinals” in Zermelo-Fraenkel set theory (ZF). This would have the consequence that strongly inaccessible cardinals don’t exist either and so on for all the other large cardinals. Martin Davis on the FOM list cautions that the claim is “highly dubious”.

Here are links to Kiselev’s papers:

Part 1: http://arxiv.org/abs/1010.1956
Part 2: http://arxiv.org/abs/1011.1447

Link to the FOM list entry: http://www.cs.nyu.edu/pipermail/fom/2011-August/015694.html

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This entry was posted on August 17, 2011 at 9:35 AM and is filed under Cardinal Numbers, Inaccessible Cardinals. You can follow any responses to this entry through the RSS 2.0 feed. You can leave a response, or trackback from your own site.

2 Responses to “FOM Posting on A. Kiselev’s claim that “There are no weakly inaccessible cardinals” in ZF”

Flash Sheridan Says:
August 18, 2011 at 9:22 AM | Reply
The link to Martin Davis’s comment is http://www.cs.nyu.edu/pipermail/fom/2011-August/015694.html, though there’s no content beyond “regarded as very dubious.”
Walter Salgado Says:
August 18, 2011 at 7:28 PM | Reply
Hi, thank you for the direct link! I’ll add it to the post. It is important to note that there was no content to MD’s comment beyond the claim of dubiousness. Thanks again!