Default truth values in philosophy. An interesting concept. Here’s how it works.
Stealing “the dragon in my garage” from Carl Sagan’s “The Demon-Haunted World”, here goes…
I have a dragon in my garage. Great, you say! Show him to me, I’d love to see him! Well, unfortunately, he’s an invisible dragon. That’s ok, you say, I can still touch him, feel the heat from his breath, the air from his wings. Well, no - he’s immaterial, too, and breathes room-temperature air, and so on. In fact, this dragon is fundamentally undetectable by any method, and yet I assert he exists.
What is the appropriate response? Clearly, we say, the dragon does not exist. We can’t prove it at all, but since there is no reason whatsoever to believe he DOES exist, we default by saying that it does not. If some evidence pops up - a proof that such dragons cannot exist, or a way in which the dragon becomes observable - we will change our minds, but until then, it is clear that we should not believe in this dragon.
This is also partially behind we don’t believe in Santa, or unicorns, or in beings that live in the Earth’s core. None of these ideas are impossible at all, either logically or physically. We will be able to genetically engineer unicorns in the future, and someone probably will. But we have no reason to believe in these entities, and so we don’t. If someone published a paper, with evidence, about the beings in the Earth’s core, we’d say, “well, that’s fucked up!” and believe it. But until then we won’t, and that’s well justified.
Thus, there are issues in philosophy where, when we don’t have justification one way or another, we resort to a default truth value. Matters of existence seem to be the best example of this - in order to believe something exists, we need evidence. To be 100% sure that something cannot exist, we need evidence too - but to say “hmm, there’s no evidence either way. I won’t believe in it until evidence presents itself.” is perfectly acceptable, and does not require justification. It is simply a weakly-held belief based on a default circumstance.
I don’t believe in any god because there is no evidence, either empirical or logical. If someone can show me evidence I will change my mind.