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No problem has a solution. None of us can untie the Gordian knot; either we give up or we cut it. We brusquely resolve intellectual problems with our feelings, either because we’re tired of thinking, or because we’re afraid to draw conclusions, or because of an inexplicable need to latch on to something, or because of a gregarious impulse to return to other people and to life.
Since we can never know all the factors that a problem entails, we can never solve it.
To arrive at the truth we would need more data, along with the intellectual resources for exhaustively interpreting the data.