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1. • CommentRowNumber1.
   • CommentAuthorTodd_Trimble
   • CommentTimeAug 17th 2013
   • PermaLink
   Author: Todd_Trimble
   Format: MarkdownItexI wrote up a brief little [note](http://ncatlab.org/toddtrimble/published/Hyperdoctrine+version+of+G%C3%B6del+incompleteness) on this on my web. Comments are very welcome. This could be transported to the nLab if one wants.

   I wrote up a brief little note on this on my web. Comments are very welcome. This could be transported to the nLab if one wants.

2. • CommentRowNumber2.
   • CommentAuthorMike Shulman
   • CommentTimeAug 17th 2013
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   Author: Mike Shulman
   Format: MarkdownItexVery nice! I think it would be nice to have this on the nLab. In Lemma 1, should $d(code(t))$ be $d\circ code(t)$?

   Very nice! I think it would be nice to have this on the nLab.

   In Lemma 1, should $d(code(t))$ be $d\circ code(t)$?

3. • CommentRowNumber3.
   • CommentAuthorTobyBartels
   • CommentTimeAug 17th 2013
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   Author: TobyBartels
   Format: MarkdownItexThat\'s pretty cool, Todd!

   That's pretty cool, Todd!

4. • CommentRowNumber4.
   • CommentAuthorDavidRoberts
   • CommentTimeAug 17th 2013
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   Author: DavidRoberts
   Format: MarkdownItexI second #'s 2 and 3

   I second #’s 2 and 3

5. • CommentRowNumber5.
   • CommentAuthorTodd_Trimble
   • CommentTimeAug 17th 2013
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   Author: Todd_Trimble
   Format: MarkdownItexMike: yes, that's what I meant. I granted myself a liberty of writing composition with an element $code(t)$ as an application instead. Glad you approve, guys. Having spent a while looking at proofs online, it seems to me that the diagonalization argument is usually made to look harder than it actually is. :-)

   Mike: yes, that’s what I meant. I granted myself a liberty of writing composition with an element $code(t)$ as an application instead.

   Glad you approve, guys. Having spent a while looking at proofs online, it seems to me that the diagonalization argument is usually made to look harder than it actually is. :-)

6. • CommentRowNumber6.
   • CommentAuthorTobyBartels
   • CommentTimeAug 17th 2013
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   Author: TobyBartels
   Format: MarkdownItexAnother diagonalization argument (complete with reference to Taylor\'s aphorism) is at [[Cantor's theorem]]. But it might be nice to have a page [[diagonalization]].

   Another diagonalization argument (complete with reference to Taylor's aphorism) is at Cantor’s theorem. But it might be nice to have a page diagonalization.

7. • CommentRowNumber7.
   • CommentAuthorTodd_Trimble
   • CommentTimeAug 18th 2013
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   Author: Todd_Trimble
   Format: MarkdownItexOkay, I started a page [[incompleteness theorem]], and pasted in a corrected version of what I had written on my web as subsections. I'm not thrilled with what I've hashed out (in particular, I'm not sure how happy I am with the overall tone), but anyway it's a start. Please, please feel free to add or improve. I've also done this in a hurry, because I need to start packing for a vacation tomorrow. So there are lots of places where links should be added in -- sorry.

   Okay, I started a page incompleteness theorem, and pasted in a corrected version of what I had written on my web as subsections. I’m not thrilled with what I’ve hashed out (in particular, I’m not sure how happy I am with the overall tone), but anyway it’s a start. Please, please feel free to add or improve.

   I’ve also done this in a hurry, because I need to start packing for a vacation tomorrow. So there are lots of places where links should be added in – sorry.