Well, gosh, since no one has responded to this very interesting question, I'll go ahead and pontificate a little. :-)
No, I don't believe in miracles as divine intervention causing an event that defies logical explanation.
But oh, YES YES YES, I do believe that wondrous things happen every single day, and I often refer to them as miracles. I believe, though, that the "mechanisms" behind them are perfectly logical... or will be once we achieve a fuller understanding of the physical laws of the universe.
Let me share two stories, one very powerful, at least to me... and one terribly mundane, but perhaps even more mystifying:
We're a traveling family, always have been, and I've long been accustomed to seeing my parents hop in the car for a long road trip on their own. For many years, they went to Florida every spring for a reunion of WWII friends, and I had never worried too much about them.
But then one year, when my mother mentioned the date they planned to leave for this Florida trip, I panicked. I begged them not to go this year; failing that, I insisted they buy a cellphone so I could reach them on the road. I sent away for a special earpiece that would wake my father if he fell asleep at the wheel.
And finally, I insisted that they rent a larger car to make the trip in. They owned a perfectly lovely Grand Marquise, but I was adamant that it was not big enough. They got fed up with my haranguing them and finally agreed to rent something bigger.
The morning they were to leave, I took my mom to pick up the full-size luxury sedan I had reserved for them. A monster thunderstorm and hopeless traffic put us behind by almost two hours, and my mother was livid by the time we got to the rental agency. Long story somewhat less so: my mom didn't want the extra insurance, but I absolutely insisted that she take it, so she paid extra for that.
And then when we saw the car they had for her, I knew it wasn't the right car.
I literally forced my mother to come back into the office with me, where I talked them into letting her have a Cadillac Seville that had just come back in and had not been cleaned yet. It was more expensive, so Mom had to do all the paperwork again, and she was at this point barely speaking to me.
But when I saw the Seville, it seemed to GLOW, and I knew it was the one. I followed Mom home, and there stood my father in the garage, hands on hips, fuming at all the time and money I had forced them to waste.
Both my parents were so eager to load the rental car and leave that they barely spoke to me. I was in tears, terrified, still begging them not to go... they thought I had lost my mind... and I thought maybe I had, too.
I harrassed them on their cellphone for two days, beside myself with worry. I knew they were planning to arrive at their hotel in Florida about 1:00 in the afternoon on the third day, and they had promised to call me immediately from their room.
No call came. Shortening a long story: I called and called and finally stayed on hold with the hotel, sobbing and terrified... and finally, at 3:30, they arrived. It turned out that they had been just eleven miles from the hotel when someone had pulled across the lane in front of them and my mom had had to slam on her brakes. She'd lost control and gone down into a ditch on the left side of the highway, but with a concrete culvert looming ahead, she had to swerve back up onto the road immediately.
Despite bumper-to-bumper traffic going 80 mph, they somehow managed to streak across almost perpendicular to the highway without being hit. Then their car went airborne off the righthand shoulder, bounced down into a swampy field, and plowed through some small pine trees before coming to a stop with the wheels up to the hubcaps in mud.
My parents were in their late 70s at this time, but amazingly, they were not seriously hurt. By the time they regained full awareness, a half-dozen passersby were already there, opening the car doors and helping my folks across the swamp and back to the side of the road. These good people hauled out lawn chairs and blankets and thermoses full of coffee to comfort and care for my parents, bless their hearts. (Another driver pursued the car that had caused the accident and made the driver come back and turn himself in!)
Three different law enforcement agencies showed up at the scene, and each of the officers commented on what good luck it was that my parents had been driving such a big, heavy car. "Anything lighter," said a Florida Highway Patrol officer, "and you would've flipped end over end when you came flying off that shoulder."
So. I am completely convinced that somehow, I was being driven to push all those demands on my parents, to FORCE them to rent that big Cadillac for the trip, and even to insist on the extra insurance, so they could just walk away from the accident with no repercussions beyond some bad bruises, minor cuts, and a bit of whiplash. Was it some sort of psychic intuition? Did a deceased loved one put those ideas into my head? I have no idea how it came about... but I call it a miracle, and I thank goodness for it every day.
This is a very small and mundane incident, really... but I just can't explain it. What happened is that I was given a watch by my beloved, and it meant a great deal to me; but I lost it. It had been missing for months, and both he and I had searched our apartment and our cars time and again, to no avail. Finally, I started wearing an old Timex, but I dearly missed the sentimental value of the lost watch.
Then I got a call from a client to come up to another city for a convention, and I knew that this was a sort of interview for a major job opportunity. I was extremely nervous about it, desperate to make a good impression. On the day I was to leave, I packed all my things into the car and then went back to the apartment to look around one last time and make sure I hadn't forgotten anything. I checked the bedroom, and then coming up the hall to the living room, I stopped and looked around. With real feeling, from the heart, I sighed, "I wish I had my watch."
Then I took one step forward, and the watch fell on my foot.
I mean, out of midair. It was absolutely inexplicable. I felt a chill, and I looked up at the ceiling and said, "Thank you." I don't know who I was addressing, but I felt very strongly that somebody must have done that for me.
"Miracle" is too big a word for it, I guess... but it completely baffles me to this day.
Sorry this is so long... I don't seem to be able to write short. :-)