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It may be unable to prove god is real but it is also impossible to disprove that god is real.
Everything is impossible to prove. To say someone else is actually real is unprovable. For instance, you may see them, sense them, all things of the sort. But there is no way to prove that they are not a figment of your imagination. Garunteed truth is that you exist, but as what, we know
creator and ruler of everything
God can also be defined as the Ground of Being
this does not imply that it is impossible to proof god. the creator and ruler could reveal himself as such
Depends on what you consider god is. Universe? Time and Space? A super sprite? A group name of high intellectual scientist? Thus, god is variable.
People all over the world have mystical experiences, especially that of an apophatic nature.
God is a product of belief. Any thing that is proven does not require belief. Thus, proving god's existance is impossible.
you assume god is a product of belief.
but that is not given by the definition of god.
(you must first show that god is a product of belief follows from the definition)
If a God interacts with the world in any meaningful way, then those interactions can be measured and proven.
If God is the ground of being, then he is interacting with everything at every moment.