From the reference point of the man standing in the middle of the train, he is standing still. Yet the strike that hit the front of the train still reaches his eyes first
In less than one second? That would mean light is travelling faster than the speed of light in train man’s reference frame. That’s impossible.
I think this is what Avram is saying, and I think it works out:
The discrepancy is not in when the light hits each observer’s eyes. Train man will see two lightning strikes simultaneously and platform man will see two lightning strikes simultaneously.
The discrepancy is in when each observer sees the light hitting train man’s eyes. From train man’s reference point, the light beams from both strikes hit his eyes simultaneously (that’s why he observes the strikes as occurring simultaneously). From platform man’s reference point, the light beams from both strikes do not hit train man’s eyes simultaneously. In other words, platform man sees the strikes occur simultaneously, but he does not see them reaching train man’s eyes simultaneously.