Fish Meat?

Random unrelated image: Dog Warning Or Inappropriate Flag Use?

I overheard two co-workers talking earlier. Their conversation went something like this:

#1) Lets go to the all you can eat seafood buffet for lunch
#2 I don’t eat meat.
#1) Fish isn’t meat.
#2) Then what is it?
#1) It’s Fish!

WTF!? I don’t understand this argument at all. How isn’t fish meat? The way I see it, anything which could be considered ‘flesh’ is meat. I really don’t understand how people can rationalize not eating, say, chicken or beef while eating fish.

So what do you think? Meat or not?