From a polygonal standpoint, the amount of polygons the PS3 can theorhetically pump out nearly 4 times as many polygons per second as the PS2. The PS2 could pump out over 200 times more polygons per second when compared to the PSX.
From a chipset standpoint, the PS3 and PS2 both use 64-bit chipsets, the PSX used a 32-bit chipset. Oddly enough, The Dreamcast used a 128-bit chipset and is the only console to have done so (Gamecube, Wii, Xbox, Xbox 360, PS2, and PS3 were all 64 bit). While the N64 had a 64-bit processor as well, no developers ever actually took advantage of it, so it is more or less a 64-bit chipset with 32-bit games.
From a technical standpoint, the jump from PSX to PS2 was immensely larger than the jump from PS2 to PS3.
I describe myself as a little dose of toxic masculinity.
