The Raven paradox is a good example of why we need Bayesian inference. The paradox is not a real paradox -- it doesn't imply true and false at the same time --

The Raven paradox is a good example of why we need Bayesian inference. The paradox is not a real paradox -- it doesn't imply true and false at the same time -- but it makes a strong case for a system that integrates degree of confidence through and through, as opposed to merely assigning true and false.