Pim
Stadtholder
Hate to burst your bubble, but the tie of Van Gogh to Amsterdam is very week. He only lived there shortly when he was trying to become a priest. He spent most of his painting life in France.
Similarly, Vermeer is also only loosely tied to Amsterdam. Delft was his base.
The cultural legacy of Amsterdam in the Golden age is immense, but just does not include the examples you mention.
you are right and like you said, the cultural legacy is great. The 'problem' with understanding the dutch republic and amsterdam is, in this situation, that most of the province holland contributed to the golden age with amsterdam as (economic) powerhouse. Christian Hyugens for example was from The Hague and Renee Decartes lived in the netherlands, but in more then 10 different cities(including Amsterdam). I think the problem for most non-dutch people in understanding the dutch cities is that the entire west of the country functions(and did function expecially during the golden age) as a whole instead of different independent large cities(there is no city in the netherlands with a million inhabitants, even nowadays). During the golden age everything in holland and even the netherlands was about amsterdam, they had the largest vote in politics, contributed the most to state-finances and 'owned' a great trading fleet.
So to say a person who wasnt living his life in amsterdam as not being contributing to amsterdam as cultural city is wrong, im sorry to say, because the region itself was a whole with amsterdam as its center.
I know im pretty of topic right now, so ill quit and only give a book tip: j. israel, the dutch republic, for those whom are interested.