tag:blogger.com,1999:blog-3891434218564545511.post3070285026834746712..comments2024-03-28T13:23:50.623-05:00Comments on Alexander Pruss's Blog: "The" natural numbersAlexander R Prusshttp://www.blogger.com/profile/05989277655934827117noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-3891434218564545511.post-79577258857636992212018-10-26T09:17:41.729-05:002018-10-26T09:17:41.729-05:00A problem with the vagueness solution is that it p...A problem with the vagueness solution is that it probably then becomes vague whether the axioms of set theory are consistent. For we know from Goedel's Second Incompleteness Theorem that there is a model of set theory according to which the axioms of set theory are inconsistent. But, probably, the axioms of set theory are true and hence consistent. So, on the vagueness story, it is vaguely true that the axioms of set theory are consistent. Alexander R Prusshttps://www.blogger.com/profile/05989277655934827117noreply@blogger.com