Philip Seymour Hoffman's Will -- Keep My Son Away from Hollywood

Philip Seymour Hoffman's dying wish was to keep his children far, far away from Hollywood -- this according to the actor's will.

TMZ obtained a copy of PSH's will -- drawn up in 2004 -- and according to the document, Hoffman requested that his son Cooper (back then his only child) be raised in Manhattan ... in order to be surrounded by the culture, arts, and architecture of the city.

If NYC turned out to be impossible, Hoffman asked for his son to be raised in Chicago or San Francisco. And if that didn't work out either, Hoffman wanted his son to visit these cities at least TWICE per year ... for cultural purposes.

The glaring omission on his list is obviously Los Angeles -- interesting because Hoffman was a big time Hollywood actor who spent lots of time in L.A.

Clearly, he didn't think it was a suitable city to raise a kid in.

As for the entirety of his estate, Hoffman left the whole shebang to his longtime partner and the mother of his 3 children, Mimi O'Donnell.