"interesting enough": the OEIS is a "Big Tent" (but not an insatiable idol)

Mitchell Harris harris at tcs.inf.tu-dresden.de
Wed Nov 19 19:11:54 CET 2003


On Wed, 19 Nov 2003, Jon Awbrey wrote:

>o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
>
>i know we have a proof that all numbers are interesting --
>so long as "number" means something in a well-founded set.
>
>but i forget, is our space of sequences well-founded?

To be pedantic, if that's the word I am looking for:

Though the sequences (of "interest") are mostly infinite, they are 
countable since they each require a finite description. Therefore the 
possible sequences in the OEIS are countable, and a countable set has many 
possible well-founded orderings.

Mitch






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