Thesis Moore’s “here is one hand” is not really an argument, and that is exactly why it works
Where it stands
I coach high school debate, and there is a move my best students make without ever having heard of G. E. Moore. When the other team builds an elaborate case for a conclusion everyone in the room knows is false, you do not attack the premises one by one. You say: whatever is wrong with your argument, I am more sure that your conclusion is false than I am that your premises are true. Then you sit down.
Moore did this in his 1939 lecture "Proof of an External World". He held up his hands and said, in effect, here is one hand and here is another, so there are at least two external objects. The sceptic says you cannot know that, because you cannot rule out that you are dreaming. Moore's reply, as I read it, is that he is more certain he has hands than he is of any premise the sceptic uses.
My thesis: this is not a proof in the sense of a chain of reasoning that compels assent. It is a comparison of certainties. And that is why it works. Sceptical arguments use premises like "if you can't rule out dreaming, you don't know". Those premises are clever, but nobody is more sure of them than of their own hands. When an argument's conclusion is less credible than the denial of its premises, it is rational to run the argument backwards.
I expect two objections: that this begs the question, and that it is just stubbornness with good manners. I want to hear both, and anything else.