Intellectual honesty necessarily means that your positions on any given issue may change as you learn new information. It has to do with an intellectual process, not a result. Over time, experience, and the collection of information, the consistent process will often tend to result in inconsistent conclusions about a single issue. You will not take the same position today that you did yesterday, because new data has entered the equation; data, anyway, that is new to you. But it is paramount to keep the process honest, and to not insist upon previous conclusions that you now realize are incorrect.