No, your reasoning is flawed. 'invent' is quite different from 'make'. 'invent' can normally only refer to a class of things, thus requiring the use of the definite article.
New words, one handy idiom, and a 2-minute quiz — delivered to your inbox to keep your streak alive.
Anonymous1. Leonardo Da Vinci invented and made the first fork.
teechre.g.,Anonymous1. Leonardo Da Vinci invented and made the first fork.Here, the ordinal "first" makes "the" compulsory, whatever the meaning, i.e. generic or specific, doesn't it?