Here's another example to make this clear. What does an "electric tester" do?
If we say that we can test whether "electricity is present or not"; we'll get terribly wrong. Because it can only inform us about the PRESENCE of electricity and NOT the absence.
Coming back to our Railway board; I believe it should be the other way round where they display the stations in which the train STOPS. And once you SEE the name, you're sure that it WILL stop there.
After all seeing is believing :)
*one friend of mine had a heated discussion with me arguing that the people who come to mumbai (not the ones who are already living here) are more worried about the stations at which it doesnt stop. And this is the best solution for Mumbai stations!
But let me tell you. Irrespective of the city, the question remains the same; "whether you should take decisions by the absence of information?"... Period.