Hume’s famous argument against the credibility of testimony about miracles invokes two premises: 1) The reliability of the witness (the extent to which he is informed and truthful) must be compared with the intrinsic probability of the miracle. 2) The initial probability of a miracle is always small enough to outweigh the improbability that the testimony is false (even when the witness is assumed to be reliable). I defend the first premise of the argument, showing that Hume’s argument can be (...) applied to purported observations of miracles, as well. I then show that Hume failed to provide an adequate support for his second premise. A more cogent defence can be provided for a weaker premise. The resultant argument has, consequently, a less sweeping conclusion than Hume’s. (shrink)