  Note that the explanatory role that Campbell is suggesting that our conscious experience of objects is supposed to play isn’t simply that of justifying, or providing warrant for, our beliefs and judgements that employ perceptual demonstratives. His claim is rather that such experience has a role to play in justifying the patterns of use we make of the demonstrative in reasoning that we engage in—where such reasoning reflects our grasp of the criteria of identity of the object referred to, which in turn reflects our grasp of the object as being mind-independent. According to Campbell, this pattern of use is justified by appeal to the semantic value of the demonstrative. Our conscious experience of the object to which the demonstrative refers provides us with a form of knowledge of the semantic value of the demonstrative, and thereby plays a role in justifying the use we make of the demonstrative in our reasoning.