Does the Atheist Deny What the Theist Affirms?

It seems to me that there is a sort of 'disconnect' in theist-atheist debates. It is as if the parties to the dispute are not talking about the same thing. Jim Ryan writes,

The reason I'm an atheist is straightforward. The proposition that there is a god is as unlikely as ghosts, Martians amongst us, and reincarnation. There isn't the slightest evidence for these hypotheses which fly in the face of so much else that we know to be true. So I believe all of them to be false.

This is a fairly standard atheist response. Since I picked up the use of 'boilerplate' in philosophical contexts from Jim, I hope he won't be offended if I refer to the quoted passage as atheist boilerplate. It puts me in mind of Russell's Teapot part of the drift of which is that there is no more reason to believe in God than there is to believe that "between the Earth and Mars there is a china teapot revolving about the sun in an elliptical orbit . . . ."

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Russell’s Teapot: Does it Hold Water?

Here is a famous passage from Bertrand Russell's Is There a God?

Many orthodox people speak as though it were the business of sceptics to disprove received dogmas rather than of dogmatists to prove them. This is, of course, a mistake. If I were to suggest that between the Earth and Mars there is a china teapot revolving about the sun in an elliptical orbit, nobody would be able to disprove my assertion provided I were careful to add that the teapot is too small to be revealed even by our most powerful telescopes. But if I were to go on to say that, since my assertion cannot be disproved, it is intolerable presumption on the part of human reason to doubt it, I should rightly be thought to be talking nonsense. If, however, the existence of such a teapot were affirmed in ancient books, taught as the sacred truth every Sunday, and instilled into the minds of children at school, hesitation to believe in its existence would become a mark of eccentricity and entitle the doubter to the attentions of the psychiatrist in an enlightened age or of the Inquisitor in an earlier time.