What seems crucial about us is not the use of infallible methods, but reasoning with whatever means we have, plus an amazing facility for belief revision, i.e., coping with problems as they arise. It is this dynamic feature of human rationality which logicians and philosophers should try to understand better. Logic is not some vaccination campaign eradicating all diseases once and for all. It is rather the immune system of the mind!
Johan van Benthem, "Logic in Philosophy" (PDF). Van Benthem has a website with some interesting online papers.