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Looks as though you've got a 60gb PS3 PETERPIPER12,as the 40gb PS3 is not quite compatible with PS2 games.
When I do get a PS3 console,I'm hoping to buy a 60gb PS3.Although, I think Sony have ceased production of the 60gb,I'm going to try and buy one second hand if I can.
I hate to part with some of my PS2 games.
One reason I want to get my hands on a PS3 this year,is because GOW3 is coming out for it.It's a pity they are not making a version for the PS2.Never mind!
I still see games being produced for the PS2,so it looks like there's still life in the old timer yet.
Thanks for your comment PETERPIPER12.