tag:blogger.com,1999:blog-3891434218564545511.post3588877661868882355..comments2024-03-28T13:23:50.623-05:00Comments on Alexander Pruss's Blog: A strict propriety argument for probabilism without any continuity assumptionsAlexander R Prusshttp://www.blogger.com/profile/05989277655934827117noreply@blogger.comBlogger3125tag:blogger.com,1999:blog-3891434218564545511.post-73937959917438081202022-10-13T10:05:58.056-05:002022-10-13T10:05:58.056-05:00And, finally, here is a written-up version of the ...And, finally, here is a written-up version of the proof: http://philsci-archive.pitt.edu/21264/<br />See Theorem 3 and Corollary 1 in the Appendix.Alexander R Prusshttps://www.blogger.com/profile/05989277655934827117noreply@blogger.comtag:blogger.com,1999:blog-3891434218564545511.post-35388727619597293962022-10-04T10:10:35.283-05:002022-10-04T10:10:35.283-05:00Correction: While I linked to a post describing th...Correction: While I linked to a post describing the +- version of the level set integral, the "cute theorem" I have proved is actually for the up-arrow version of LSI given here: http://alexanderpruss.com/papers/InconsistentCredences.pdf<br />The up-arrow version is superior for decision-theoretic purposes, because it commutes with positive affine transformations.<br /><br />The proof, of course, depends on the fact that "strict propriety for the credences with Normalization and Subadditivity" is a much stronger condition than the classic notion of strict propriety for probabilities. I'll post it when I finish cleaning up the paper in which it sits.Alexander R Prusshttps://www.blogger.com/profile/05989277655934827117noreply@blogger.comtag:blogger.com,1999:blog-3891434218564545511.post-19583373991848957332022-10-01T08:13:11.535-05:002022-10-01T08:13:11.535-05:00A number of comments from a commenter who has been...A number of comments from a commenter who has been banned have been deleted. If a banned commenter wishes to be reinstalled, they should email me explaining their plan for avoiding the sorts of things that led to the ban.Alexander R Prusshttps://www.blogger.com/profile/05989277655934827117noreply@blogger.com