the burden of proof is not on whoever “speaks”, like the second person incorrectly states, but whoever makes a specific type of claim. The first person is not making a claim of that type by saying “there is not a God” and therefore does not have any burden of proof, but someone who says “there is a God” is making a claim of that type and must prove it before it can be believed
In the teapot example, if I say “there isn’t a teapot floating orbiting the Sun somewhere between the Earth and Mars” I have no burden to prove this before it can be believed, because there is no evidence of the teapot existing. If you claimed the teapot did exist, you’d need to provide evidence of it
Another way to think about it is, imagine someone says “God doesn’t exist”, someone else says “prove it!”, and, for the purpose of the thought experiment, they actually somehow did produce hard evidence that objectively settles the dispute. Did they “prove that God doesn’t exist” or did they “disprove the existence of God”? You can’t prove a negative, so it is the latter. The existence of God is the actual “claim”, so saying “God exists” requires burden of proof, but “God doesn’t exist” is not a “claim”
No, the first person is using burden of proof correctly and the second person is incorrect about any logic fallacies. See: https://en.m.wikipedia.org/wiki/Russell's_teapot
the burden of proof is not on whoever “speaks”, like the second person incorrectly states, but whoever makes a specific type of claim. The first person is not making a claim of that type by saying “there is not a God” and therefore does not have any burden of proof, but someone who says “there is a God” is making a claim of that type and must prove it before it can be believed
In the teapot example, if I say “there isn’t a teapot floating orbiting the Sun somewhere between the Earth and Mars” I have no burden to prove this before it can be believed, because there is no evidence of the teapot existing. If you claimed the teapot did exist, you’d need to provide evidence of it
Another way to think about it is, imagine someone says “God doesn’t exist”, someone else says “prove it!”, and, for the purpose of the thought experiment, they actually somehow did produce hard evidence that objectively settles the dispute. Did they “prove that God doesn’t exist” or did they “disprove the existence of God”? You can’t prove a negative, so it is the latter. The existence of God is the actual “claim”, so saying “God exists” requires burden of proof, but “God doesn’t exist” is not a “claim”