LotR -- Book 6 - Chapter 2 - The Land of Shadow

[Kuruharan]

It has only a will and no mind

Now you're going to have to explain how that is possible. Having a will implies direction and a certain level of independence. Having direction implies having some ability to make choices.

Now, obviously, the Ring does not have a literal mind, but I believe Tolkien described the Ring as existing on the spiritual plane at least as much as it existed on the physical. All this "thinking" comes from the part of Sauron that was placed in the Ring at its beginning.