There are many things we can talk about colloquially, but which are another matter entirely when we wish to investigate them scientifically. "Punishment", for instance, is a vastly different thing when defined by a politician and by a behaviorist. Only when we define things clearly can we begin to apply science, and put the power of systematic and controlled observation to work for us. As long as we are willing to accept that mind "does not carry any fixed definition, but can be explained by several distinct philosophies", we will continue to be puzzled by it, and to ask the wrong questions.
"Sunrise" is a perfectly good word, but when we wish to explain it in a useful manner, we abandon Helios and Phaeton and talk of the earth's rotation. As long as we are unwilling to speak of "mind" more specifically, we are left wondering how it is that the sun literally climbs in the sky. Sure, it's romantic and mysterious, but it's the wrong question.
You say that "[y]ou and I (as well as most others who would be having this discussion) both understand what components we would put into this term." Years of discussion on this board and in real life have convinced me that this is not the case. I often will have people demand that I explain the presence in the mind of things which are part of their definition, but things which are there only because their definition places them there. Rather than seeing a tree, they see the image of a tree, then ask me to explain how it is that this image is perceived. (Some who are reading this paragraph understand what I mean, and others think the demand quite a reasonable demand; our differing concepts of "mind" shape our thinking and determine which questions we find necessary.)
We should determine whether dragons exist before we start a taxonomy of them. Likewise the mind. How much of what we believe is there, is in fact there? We cannot expect to progress if we stick with this particular geocentrism.