FMF: Lack of belief in god is not a claim that there is NO god. This is where people can't understand atheists.
Yes.
Imagine a person is accused of committing a brutal murder. During the trial, evidence is presented by both sides, the prosecution and the defense, to the jury.
At the conclusion of the trial, the jury deliberates. One juror says, "I believe he is innocent." Another says, "I do not believe he is guilty."
Although these may superficially seem to be equivalent statements, they are not. Juror #1 is asserting that the evidence presented convinced her of the accused's innocence, whereas Juror #2 is stating that the evidence was not enough to persuade her of his guilt beyond the proverbial reasonable doubt.
It is similar when people discuss their belief about whether or not God exists.
Some assert a belief that there is no God. God does not exist.
Others may state that they do not believe God exists. These are not equivalent statements.
"I believe there is no God," is not equal to: "I do not believe in God."
I've quoted it before on this forum, but I think it's appropriate to repeat it here, Carl Sagan's thoughts on the subject:
Those who raise questions about the God hypothesis and the soul hypothesis are by no means all atheists. An atheist is someone who is certain that God does not exist, someone who has compelling evidence against the existence of God. I know of no such compelling evidence. Because God can be relegated to remote times and places and to ultimate causes, we would have to know a great deal more about the universe than we do to be sure that no such God exists. To be certain of the existence of God and to be certain of the nonexistence of God seem to me to be the confident extremes in a subject so riddled with doubt and uncertainty as to inspire very little confidence indeed. - Conversations with Carl Sagan (2006), edited by Tom Head, p. 70
The subject of evidence, what it is and what it is not, is another subject for another time.