The field has been named "Artificial Intelligence" since the 1950s, It has nothing to do with neural nets per se. It just is about systems that do what was previously thought to be only something people could do. Traditionally the big names in the field like Minsky actually despised neural nets -- Minsky even wrote a book called Perceptrons (1969) which trashed the early version of neural nets and discouraged most research on them for a couple of decades.