If you're atheist, and evidence came forward that god was real, would you change your mind? also what would that evidence have to be in your own personal opinion?
As an Apatheist, it does not matter to me if Gods are real or not, and I am still me no matter what evidence is presented. If they find proof for Allah or Krishna or Jesus, or Yahweh next week, I will still have to eat and sleep and do my laundry. As Omnipotent Beings they always have the choice to love me or destroy me on the spot, and I have no power to stop Gods doing whatever they feel like anyway, right? If any gods need worship for some strange reason, then they can create some instantly, so they should have no need to bother me while I am watching a movie and eating popcorn.
Given my total disbelief, unless they could show me live video of heaven and hell, or get me a handshake with a god like person who could control on a whim everything around them, there is zero chance of this happening. So it is kind of a non issue.
The only evidence that I would accept would be falsifiable evidence. More specifically, that evidence would have the properties of measurability, predictability, and repeatability, concepts which are totally alien to the God Mob.
Your question also begs the question of "Which god?". (Sorry for being so sharp towards you, my right knee is giving me a lot grief at the moment.)
Not really. No way it could be "proven."
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Evidence would have to be irrefutable. People say that a banana fitting perfectly into a human hand is evidence or that they have found a piece of Noah's Ark or other such nonsense.
Evidence would be an entity coming out of hiding and letting itself be known, which will never happen.
I mean, if it could be proven, yea. This just how it is. That being said, I'd continue to not give a shit about it. Can't really see any god being active in the world. Not too mention all the horrible crap they'd also be responsible for creating. I'd remain apathetic.
I would be inclined to belief in a godlike entity if it revealed itself and consistently interacted with humans. However, I would definitely still be skeptical about whether the entity was actually supernatural and worthy of worship. Such things would be exceptionally difficult, if not impossible, to establish because of the sheer quantity of conceivable explanations.