Craft
A craft or trade is a pastime or a profession that requires particular skills and knowledge of skilled work. In a historical sense, particularly the Middle Ages and earlier, the term is usually applied to people occupied in small-scale production of goods, or their maintenance, for example by tinkers. The traditional terms craftsman and craftswoman are nowadays often replaced by artisan and rarely by craftsperson (craftspeople).
Design
Design is the creation of a plan or convention for the construction of an object, system or measurable human interaction (as in architectural blueprints, engineering drawings, business processes, circuit diagrams, and sewing patterns). Design has different connotations in different fields (see design disciplines below). In some cases, the direct construction of an object (as in pottery, engineering, management, coding, and graphic design) is also considered to use design thinking.
Design
As in poetry and music, even the unskilled ear may be offended by a mistake in measure, without discerning the cause, may not also a mistake in the harmony of dimensions unconsciously offend us in design?
Ernest Flagg, Small Houses: Their Economic Design and Construction (1922)
Design
From a structural point of view, design is totally useless... I tried to give my products a little sense and energy. But even when I gave the best of myself, it was absurd.
Philippe Starck (2008) in: "Les doutes existentiels de Philippe Starck", Marie-Douce Albert, Le Figaro, March 28, 2008, p. 32