To answer your question more completely:
The PS3 was released 7 years ago. Back then, the "top of the line" graphics card was the GeForce 7950 GX2.
The average G3D benchmark for the 7950 GX2 was 195.
The average G3D benchmark for the 670 is 5300.
The 670 is approx. 27x more powerful than the GX2. Imagine playing a game now with 1/27 of a 670. My guess is you won't be having a lot of fun. ;-)
So in short, if graphic cards advance as they have over the last 7 years, no, your GTX 670 will not be powerful enough to outlast the PS4. (That is assuming that the PS4 isn't upgraded for ~7 years).
http://www.videocardbenchmark.net/gpu.php?gpu=GeForce+7950+GX2