Are weaving and knitting art, or "just" crafts? Sounds like another inflammatory discussion, along the lines of "it ain't folk, its just popular". Well, here are some abridged definitions from Chambers Everyday Dictionary to start the fire:

art: a human skill, as opposed to natural agency; knack acquired by study and practice; taste and skill; a trade or craft

craft: dexterity; an art, skilled trade

One immediate conclusion, of course, is that the concepts of art and craft are at least partly synonymous.

A second implication is that weaving and knitting clearly fit the definitions of both art and craft, if you believe that both activities require (a) skill, (b) practice, (c) taste, and (d) dexterity. I am certain about (a), (b), and (d). I suppose that (c) is a matter of taste. I must admit that I've seen some pretty tasteless knitting, but then I've heard some pretty tasteless songs and pictures, too. I've also seen knit and woven objects that knock my socks off in the same way that an insightful song or graphic can do.