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@Piotrus - I know that (first-hand) copies of it still exist. I believe Jagiellonian has one. Don't know what happened to the original. People still work on those problems and solving one of them is definitely enough to make one "notable" mathematics-wise.
@Deacon - just a name of a cafe, don't think there's much to it. Maybe some kind of loose connection to the significant immigration of Scots to Poland 17th-19th century or something (now there's an article to be written).Volunteer Marek (talk) 09:44, 15 August 2011 (UTC)[reply]
The book was buried under a football field in WWII, I believe. Then I believe that Stanislaw Ulam brought it or a copy to the U.S., where it was typed and issued as a technical report. Mauldin's book or the Banach biograhy discuss the history. Kiefer.Wolfowitz22:30, 15 August 2011 (UTC)[reply]
From this and this it looks like the story is "found by Banach's son"-->given to Steinhaus-->Steinhaus gives it to Ulam-->Ulam translates it into English and Steinhaus starts the "New Scottish Book".Volunteer Marek (talk) 22:50, 16 August 2011 (UTC)[reply]
Should this article be under its present title, or under Scottish Book (redirect), or should we have two separate articles? Ideally, I'd like to see one article, Scottish Cafe, on the building as well as the group of mathematicians, and the atmosphere of the time, while another article, Scottish book, would focus on the problems contained therein, as well as the history of the book itself. Of course that might be a lot of work, so from a purely practical perspective it might make sense to keep all the information in one place for now.
In terms of the gb hits, we have 158 for "Scottish cafe" math[1] (there's some Wikipedia reprints in that search) and 180 for "Scottish book" math[2]. However, the latter includes hits for the "New Scottish Book" which was something started by Steinhaus later, in the tradition of the original book. So it's a judgment call. For now I'm going to leave things as they are and try to expand the article, but I thought I'd throw this out there. Volunteer Marek (talk) 00:36, 16 August 2011 (UTC)[reply]
