From Cantor's Attic
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As the playroom expands, we may want to place the various toys each in their own room. But for now, I think it is OK to have them scattered about in one place here. JDH 12:06, 5 January 2012 (PST)

I don't think the Library of Babel belongs in the playroom. There is some discussion of infinity in that story, but the Library of itself contains no more than 26^1,312,000 unique books which is strictly finite. (The narrator only speculates that the library might be infinite and periodic.) Jorge Luis Borges, the author of that story, deals extensively with the notion of infinity in many of his writings and was directly influenced by Cantor's ideas. I think Borges should get his own section in the playroom or his own article in this encyclopedia where individual stories (Library of Babel, The Books of Sand, The Aleph, etc.), poems and simulacra can be discussed.--AmichaiLevy 08:13, 13 January 2012 (PST)

Amichai, I had in mind an infinitary version of the library. (And anyway, large finite numbers are found in the parlour.) We could give it a different name, if you prefer. In the long run, such articles as you describe sound great, but at the moment, I fear that anything more than a brief account of it might be off-topic, serving as a distraction from what I hope to be the main focus of the site: the catalogue of cardinal notions. JDH 09:41, 13 January 2012 (PST)