The world is vastly more complex, interrelated and wonderful than that. Logic, carried to the nth degree, often results in nonsense. Amusing, in Dodgson's games, but dangerous when applied to human beings. I feel that Soviet Communism, for example, was a logical system that made loads of sense, until you factor in human beings. Economics is another such system, and Lord knows, they've never been able to predict anything yet.
Most Western medicine is another such system, as are countless other parts of our lives.
Government by opinion polls. And faith in computers is another such religion without a centre. That said, they're handy tools. But try hammering in a nail with one. Soon mobile phone technology will be integrated into laptops and their smaller cousins, in more intuitive, more flexible and more inclusive ways.