[seqfan] Re: Selfrefering sentencies embedding selrefering sentences, etc.
jvospost3 at gmail.com
Fri May 18 21:17:27 CEST 2012
"This sentence contains ten words, eighteen syllables, and sixty-four letters."
[Jonathan Vos Post, Scientific American, reprinted in
"Metamagical Themas: Questing for the Essence of Mind and Pattern",
by Douglas R. Hofstadter, paperback reprint March 1996, pp.26-27]
On Fri, May 18, 2012 at 12:06 PM, Eric Angelini <Eric.Angelini at kntv.be> wrote:
> Hello SeqFans,
> a friend of mine, Jean-Luc Piedanna, has discovered
> an amazing "word" sequence for the French language.
> Here is the link (in French) -- and below, a short
> explanation (I hope to be clear):
> Jean-Luc starts with a selfrefering sentence like this:
> "This sentence has thirty-one letters"
> He embeds now this sentence in another selfrefering one:
> "This sentence, together with "This sentence has thirty-one
> letters", has seventy-seven letters"
> And again:
> "This sentence, together with "This sentence, together
> with "This sentence has thirty-one letters", has seventy-seven
> letters" has ... [X] ... letters".
> The interesting part is that Jean-Luc has found _the longest
> such sequence in French_ (no matter if you start with the
> 31-letter long sentence like here, or with the 33-letter one
> "This sentence has thirty-three letters", or whatever -- and
> no matter of the words you select to write the "envelope" --
> here "This sentence, together with... has... letters").
> Jean-Luc's sequence has 79 terms -- could someone compute
> the same "word" sequence for English?
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