I know that there are no gods.

[Watson]

But in DvF's description once you have examined the table as thoroughly as possible you are aware of it in every sense. The trouble lies within this faulty description, as to know of something and be aware of something are two different things. You may be aware of something, and acknowledge its existence as such or not, but until you accept and act upon this knowledge you are not acting within a state of knowing. You may be aware that China exists, but to act upon that is to act upon the knowledge that China exists by, say, going to China. It requires both the assumption that China exists and that the awareness one has of China is not faulty.