Earlier quoted context omitted.
There is no philosophical definition of consciousness, but there is none of gravity either, in the sense of "what gravity really is". Science doesn't examine what things "really are", but tries to make useful predictions and the definitions employed are only means to this end. In fact there are operational definitions of consciousness and I think they certainly deserve to be called "scientific", see for example: http…
The problem is without any philosophical backup the neural correlate is entirely uncompelling—it's merely a clinical definition of a measure of... nothing meaningful. One that can be just as easily applied to a recording device, modulo the explicit mention of neurons. It gets worse. When you look at it closely there's no useful reason to restrict any of these measures with arbitrary criteria to the things we consider…
Why doesn't the concept of, say, 'the gene' also need this backup? Or maybe all of those geneticists are also stumbling around in the dark without philosophers to guide them...