Can you buy red dead redemption and play it on ps4?

I know on ps now you can play it but is the ps4 backwards compatibility?? Can I buy ps3 and ps2 games and play them on the ps4 ?? I am loving red dead 2 and I have not played the first game yet so I was thinking about playing it if I can.
Answers

llaffer

PS4 will not play disc-based PS2 or PS3 games. Some PS2/PS3 games are available to purchase on PSN or play on the PlayStation Now service. Red Dead Redemption is available to play on PS Now. If you sign up you get a 7-day trial before you have to start paying for it. Prices are: 1 month: $19.99 3 month: $44.99 12 month: $99.99

Anonymous: no

no :/