X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=week3.mdwn;h=e8a86e90bbc180f69d98d3af58680b40e2edf143;hp=88b1c4f9e5b0f33a886c075b2071db5b54122845;hb=c794ad08ee1ab7a1297fcc1bf1ec3f9b81b4a612;hpb=2e064948c0cb722be400441476fd13b2add6d636 diff --git a/week3.mdwn b/week3.mdwn index 88b1c4f9..e8a86e90 100644 --- a/week3.mdwn +++ b/week3.mdwn @@ -583,7 +583,9 @@ truth and circularity](http://tinyurl.com/2db62bk) for an approach that is similar, but expressed in terms of non-well-founded sets rather than recursive functions. -HOWEVER, you should be cautious about feeling too comfortable with +##However...## + +You should be cautious about feeling too comfortable with these results. Thinking again of the truth-teller paradox, yes, Ω is *a* fixed point for `I`, and perhaps it has some a privileged status among all the fixed points for `I`, being the @@ -620,8 +622,8 @@ for any object. The chameleon nature of (3), by the way (a description that is equally good at describing any object), makes it particularly well suited as a -gloss on pronouns such as *it*. In the system of [Jacobson 1999] -(http://www.zas.gwz-berlin.de/mitarb/homepage/sauerland/jacobson99.pdf) +gloss on pronouns such as *it*. In the system of +[Jacobson 1999](http://www.springerlink.com/content/j706674r4w217jj5/), pronouns denote (you guessed it!) identity functions... Ultimately, in the context of this course, these paradoxes are more