Wittgenstein is challenging the first premise in the above argument; more specifically, he is challenging Moore’s claim that he has knowledge of his two hands. Having knowledge of something presupposes that there are good reasons or good evidence to believe it, but exactly what is it that Moore has knowledge of? He claims to have knowledge of the existence of his hands, but what would count as evidence for such a claim? Do I know that I have hands because I check to see if they are there every morning? Do I make a study of my hands, and thereby conclude that I do indeed have hands? I have knowledge of chemistry, physics, history, epistemology, and other subjects, and there are ways to confirm my knowledge. However, in our everyday lives do we need to confirm that we have hands? And do we normally doubt such things?
“When Moore says he knows such and such, he is really enumerating a lot of empirical propositions which we affirm without special testing; propositions, that is, which have a peculiar role in the system of our empirical propositions.
“Even if the most trustworthy of men assures me that he knows things are thus and so, this by itself cannot satisfy me that he does know. Only that he believes he knows. That is why Moore’s assurance that he knows…does not interest us. The propositions, however, which Moore retails as examples of such known truths are indeed interesting. Not because anyone knows their truth, or believes he knows them, but because they all have a similar role in the system of our empirical judgments.
“We don’t, for example, arrive at any of them as a result of investigation (OC 136-138).”
Wittgenstein’s argument is not only with Moore’s use of the word know, but also with the use of the word doubt by the skeptic. I believe Wittgenstein is not only saying that Moore’s use of the word know is senseless, but also that the skeptic’s use of the word doubt is senseless. The first question we need to ask ourselves is - “Does it make sense to doubt?” For example, does it make sense to doubt whether the earth is more than 100 years old? What would a doubt here look like? Do we question whether our desks still exist when we are not looking? Do people who have known us for years question whether our name really is what we say it is? If one is to doubt, then one needs good reasons to doubt, just as one needs good reasons for knowledge claims. We could understand the doubt of the skeptic if occasionally there were reasons to doubt that we lived on the earth, or that occasionally my hands actually turned out to be someone else’s hands, but we do not observe anything of the kind. And even in cases where we can understand doubting such propositions, the circumstances that give rise to such doubts tend to be very unusual. The point is that we recognize the difference. Both of these activities (knowing and doubting) are rule-governed, and take place within a practice of making empirical judgments. Our system of doubt and knowledge are formed because the world stands fast for us. If it did not, then we would not be able to form a coherent system of knowledge and doubt. One wonders if language would even get off the ground.