Here is a link (thanks to Dave Johnson) to a review of a book by the late Australian philosopher David Stove on the problem of induction. Stove is a controversial thinker, but his arguments here seem pretty compelling:
http://64.233.169.104/search?q=cache:F6YfrVW9o7AJ:www.maths.unsw.edu.au/~jim/irvinerationalityofinduction.doc+stove+on+rationality+of+induction&hl=en&ct=clnk&cd=11&gl=us
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