Fine, but you're replying to my post out of context. OppositeOfIgnorance's question was to whether WiMAX would be replacing Wifi at the consumer level (i.e. for home and business wireless LAN access), which is obviously does not.
Erm, not really. In a general sense, yeah, technical specifics tend to not to be important the market, but they really accomplish two different things. Wifi is a consumer-level short-range wireless LAN standard that has also been tasked to provide semi-fixed access at the city and neighborhood range (potentially as an ISP of sorts), while WiMAX is a long-range last-mile and mobile-broadband access standard that wont be used for personal LAN access in-home. They're two very different things (despite an evidently consumer-confusing similarity in name).
Yes, if you see the wikipedia article on WiMAX, it is being offered as a last-mile alternative to things like cable and DSL as well as for cellular data access, but this doesn't make it similar to Wifi .
Yes, they serve two different purposes.