Craig is just purposely conflating the likelihood of a particular result and the likelihood of given the declaration of a result by the lottery officials, that result being true.
If you and I are flipping coins for a million dollars, it’s going to take a lot of convincing evidence that I lost the coin flip before I pay up. You just cannot flip the coin in another room where I can’t even see, and then expect me to pay up because, well, the probability of heads is 50% and I shouldn’t be so surprised to learn that I lost.
Therefore, the actual likelihood of a particular set of lottery numbers is totally irrelevant in this discussion.
In any case, the only kind of “evidence” that we have been presented for miracles has always been of the form “person X says Y happened’, which has been known as hearsay and dealt with without even bothering with probability theory.
A second, detailed reading might make it seem like this comment’s has an error. However, the reasoning is sound; “you said the coin was heads” doesn’t distinguish very well between “the coin was heads” and “the coin was tails but you lied about the bet”, so doesn’t provide much evidence.
Likewise, the dismissing of hearsay appears to be an error, but remember that humans have finite computational power. If you take into account (at least) the hypothesis that somebody’s trying to deceive you about reality, you effectively end up dismissing the evidence anyway – but then you need to keep track of an extra hypothesis for the rest of your life to avoid scatterings of hearsay consistently nudging up your probability estimate when that’s not really founded. (This is assuming that it’s cheap to manufacture hearsay; expensive-to-manufacture hearsay shouldn’t be dismissed so lightly.)
Craig is just purposely conflating the likelihood of a particular result and the likelihood of given the declaration of a result by the lottery officials, that result being true.
If you and I are flipping coins for a million dollars, it’s going to take a lot of convincing evidence that I lost the coin flip before I pay up. You just cannot flip the coin in another room where I can’t even see, and then expect me to pay up because, well, the probability of heads is 50% and I shouldn’t be so surprised to learn that I lost.
Therefore, the actual likelihood of a particular set of lottery numbers is totally irrelevant in this discussion.
In any case, the only kind of “evidence” that we have been presented for miracles has always been of the form “person X says Y happened’, which has been known as hearsay and dealt with without even bothering with probability theory.
A second, detailed reading might make it seem like this comment’s has an error. However, the reasoning is sound; “you said the coin was heads” doesn’t distinguish very well between “the coin was heads” and “the coin was tails but you lied about the bet”, so doesn’t provide much evidence.
Likewise, the dismissing of hearsay appears to be an error, but remember that humans have finite computational power. If you take into account (at least) the hypothesis that somebody’s trying to deceive you about reality, you effectively end up dismissing the evidence anyway – but then you need to keep track of an extra hypothesis for the rest of your life to avoid scatterings of hearsay consistently nudging up your probability estimate when that’s not really founded. (This is assuming that it’s cheap to manufacture hearsay; expensive-to-manufacture hearsay shouldn’t be dismissed so lightly.)