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1. • CommentRowNumber1.
   • CommentAuthorTobyBartels
   • CommentTimeJul 7th 2011
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   Author: TobyBartels
   Format: MarkdownItexThere's a nice discussion now on [constructivenews](https://groups.google.com/forum/#!forum/constructivenews) about the [[principle of omniscience]]. This is a weak form of excluded middle that obviously holds on finite sets is not considered constructive on $\mathbb{N}$. However, it actually holds on many infinite sets, as the discussion shows.

   There’s a nice discussion now on constructivenews about the principle of omniscience. This is a weak form of excluded middle that obviously holds on finite sets is not considered constructive on $\mathbb{N}$. However, it actually holds on many infinite sets, as the discussion shows.

2. • CommentRowNumber2.
   • CommentAuthorDavidRoberts
   • CommentTimeJul 7th 2011
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   Author: DavidRoberts
   Format: MarkdownItexHi Toby - had to fix your attribution of the MO question referenced at [[principle of omniscience]] - it was due to David Feldman, not me, although I commented on the question.

   Hi Toby - had to fix your attribution of the MO question referenced at principle of omniscience - it was due to David Feldman, not me, although I commented on the question.

3. • CommentRowNumber3.
   • CommentAuthorMike Shulman
   • CommentTimeJul 7th 2011
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   Author: Mike Shulman
   Format: MarkdownItexInteresting! Is there an "unlimited principle of omniscience"? Does that just refer to LPO for all sets, i.e. EM?

   Interesting! Is there an “unlimited principle of omniscience”? Does that just refer to LPO for all sets, i.e. EM?

4. • CommentRowNumber4.
   • CommentAuthorTobyBartels
   • CommentTimeJul 9th 2011
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   Author: TobyBartels
   Format: MarkdownItex@ David: Oops! There are too many ‘David’s in the world, as you may have noticed. @ Mike: I've never heard anybody use that phrase, but I would probably interpret it as you did if I met it. Still, I don't really know for sure what inspired Bishop to use the word ‘limited’.

   @ David: Oops! There are too many ‘David’s in the world, as you may have noticed.

   @ Mike: I’ve never heard anybody use that phrase, but I would probably interpret it as you did if I met it. Still, I don’t really know for sure what inspired Bishop to use the word ‘limited’.