tag:blogger.com,1999:blog-4987609114415205593.post2273449400309105382..comments2024-03-28T13:40:26.497+00:00Comments on M-Phi: Structural Representation AgainJeffrey Ketlandhttp://www.blogger.com/profile/01753975411670884721noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-4987609114415205593.post-25586911303278187532013-03-22T15:55:59.152+00:002013-03-22T15:55:59.152+00:00Hi Sara,
Oops - yes, it's meant to mean "...Hi Sara,<br /><br />Oops - yes, it's meant to mean "if and only if". Sorry if it's a bit confusing! So, yes, it's "exactly when".<br /><br />In what I called the Glub Lemma, the reasoning goes in both directions. So, it's a sufficient condition too: if the world is at least as large as |dom(A)|, then A represents* the world.<br /><br />This is the central problem raised by Newman, in his criticism of Russell's theory of representation. (The quote from Newman is in the previous post.)<br /><br />Cheers,<br /><br />JeffJeffrey Ketlandhttps://www.blogger.com/profile/01753975411670884721noreply@blogger.comtag:blogger.com,1999:blog-4987609114415205593.post-52736385017912772972013-03-22T12:13:05.117+00:002013-03-22T12:13:05.117+00:00a model represents the world just if the world has...<i>a model represents the world just if the world has large enough cardinality. </i><br /><br />It seems like another way to clarify this is to focus on the word "just". If it is read in the ordinary English sense of "only", then this is simply giving a necessary condition for representation, and a rather obvious one at that -- it the cardinality of the model is not big enough, then it's not clear at all that it can adequately represent the world.<br /><br />It's only if you read "just if" as "exactly when" that the sentence starts seeming suspect.Sara L. Uckelmanhttp://www.asia-europe.uni-heidelberg.de/en/people/academic-staff/details/persdetail/uckelmann.htmlnoreply@blogger.com