My mechanic tells me the brake pedal can go to the floor when braking

The car can be brought to a rapid stop (ABS activating) when applying serious force to the brakes. However, the pedal goes almost all the way to the floor (a thumbs width over the floor). It actually feels like the pedal reaches its maximum travel. I bring the car to the dealer and ask if this is supposed to happen. He says; yes, it is. Then presses the brake pedal a few time (car not moving, engine running). He says it is fine. That the brakes are supposed to feel like that. I just had the brake fluid replace by a professional, and is simply not happy with these brakes. I have never been able to push the brake pedal to the floor on any other new car. Is he right?