does anyone know what Empire State of Mind means? Obviously it is from the song of Alicia Keys.
I'll just add that "New York state of mind" refers to the different (some would say unique) mindset of New Yorkers compared to other Americans. They have their own way of talking, thinking, and living. That is what is being referred to here.
We all have our unique mindsets, but the play on words is only possible with New York and Washington because those are the only 2 states for which the construction "X State" is used. That's because it's necessary to distinguish between New York City and New York State and between Washington (the city) and Washington State. No other state is referred to as "X State."