I didn't understand a single word of that, Gorath.

At its most simple, AMD Radeon naming is easy to understand. The "hundreds" is the performance key (second of four digits), and for serious gaming, requires a "600" or a "700" card. Skyrim is intentionally less graphically intense, and a Radeon "500" level (Budget Gaming) will handle things fairly well. High End Radeons are the 800s and the 900s.
Low end real cards are 300s and 400s, meant for business charts, graphs, presentations, and spreadsheets. Non-card solutions are built into either the mainboard's chipset, or into the processor package. The AMD Radeon chipset numbers currently are 4100, 4200, and 4250. None of them have any dedicated RAM at all. The "fusion" series has better integrated solutions, with access to the fast cache RAM in the processor's chip package.
nVIDIA formerly used the same numbering scheme, but stopped, and at first used the "GT" prefix, on the GT 240 and GT 430 to show those were usable for games (although the 430 was, and is, just above the bottom rank of gaming cards). Now, you have to look for either "GTS" or "GTX" to be sure a Geforce is adequate.