WardCunningham created the site and the WikiWikiWeb machinery that operates it. He chose wiki-wiki as an alliterative substitute for quick and thereby avoided naming this stuff quick-web. An early page, WikiWikiHyperCard, traces wiki ideas back to a HyperCard stack he wrote in the late 80's.
See also one of these links:
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get some answers on the WikiWikiWebFaq
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get to know more about the WikiHistory