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An article published today in the Bulletin of the American Meteorological Society may be the last interview with the father of chaos theory, MIT professor Dr. Edward Lorenz, and has essential implications for climate modelling. In the 2007 interview, Dr. Lorenz confirms that chaos theory proves that weather and climate cannot be predicted beyond the very short term [about 3 weeks], and that even with today's state-of-the-art observing systems and models, weather [or climate] still cannot be predicted even 2 weeks in advance.
Dr. Lorenz notes that although other fields that deal with complex, non-linear systems have accepted the implications of chaos theory, some meteorologists and climatologists remain reluctant to accept the implications of chaos theory, namely that long-term climate forecasting is impossible.
So here you have a mathematical determination that it isn't possible to use computer models to predict climate for years into the future. It's a theory that is widely accepted by other fields yet some climate scientists refuse to acknowledge its implications.
The reason being, of course, in my opinion, that those guys are getting millions in funding for claiming that they can predict future climate, it's a hotly politicized field that gets a lot of money for toeing that political line, and they know we'll have to wait 30 to 50 years or so to find out they were wrong.