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Is it possible if someone types the name of an article which doesn't yet have any text that that person could be sent to a search page for that topic. Thus, if I type http://www.wikipedia.org/wiki/Schengen, instead of getting a page saying that this page doesn't exist, I would instead get the search results page? Would anyone else want this?

I would not like it. I use this method (creating the URL of the page by hand) sometimes when I want to create a page and there are no links to it, or I am not sure.

I do this too and I would find the proposed change frustrating.

m