A miracle, as defined at Wikipedia, is "a striking interposition of divine intervention by God in the universe by which the operations of the ordinary course of Nature are overruled, suspended, or modified". It is sometimes objected that miracles contradict science (or the "ordinary course of Nature") and are therefore impossible. But this merely begs the question; the definition of a miracle is that the normal "laws of Nature" are violated. Thus the objection basically becomes "miracles are impossible because they cannot naturally happen" … which is hardly persuasive. In sum, miracles are only irrational if we exclude the possibility that God exists.

I have never studied Aristotle, but apparently he "rejected the idea that God could or would intervene in the order of the natural world" (also from Wikipedia). I don't see why God (who created the universe and everything in it) couldn't intervene if He chose to do so. Why would the creator not be able to intervene in His creation? Whether God would intervene is another issue. Certainly God could, but would He? God would not be required to intervene, but if God chose to create the universe, certainly He could choose to intervene in the universe at certain times as His will dictates.

I don't see any reason why miracles would be impossible if God exists. The question is: Has a legitimate miracle ever actually occurred?

Even after becoming Christian, I was surprised at the powerful argument put forward in William Lane Craig's book The Son Rises, which details the historical evidence for Jesus' resurrection. Craig relies on four facts that both theist and secular historians can agree upon, and builds his case by searching for the best explanation for those facts. Craig has an article online called "Contemporary Scholarship and the Historical Evidence for the Resurrection of Jesus Christ" which gives the gist of his argument, but the book is better. Even though it is relatively short (156 pages) it is packed with detail and provides a logical assessment for whether the resurrection happened. This is the most important issue for Christians, since, as Paul said, "if Christ has not been raised, our preaching is useless and so is your faith" (1 Corinthians 15:14).

» Further inquery:
Video: Dr. Habermas Debates Skeptic Tim Callahan Comparing the Resurrection to Ancient Mythology
PART I (3MB)  |  PART II (4MB)   (WMV format; Right click and "Save As…")