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Is it really not possible to prove/disprove existence of God? What would you accept as proof? As with anything, even if people provide proof, other people explain it away and deny it for various reasons. You need to determine before hand what is acceptable as proof. Just saying you can’t, is a cop out.
That being said, God has provided evidence of His working through time. Mathematical patterns in significant historical dates is one. Eclipse patterns coinciding with important Jewish historical events is another. The prophecy given by Gabriel to Daniel about Seventy Weeks. The prophecy of Ezekiel of the 430 Days. There is lots of evidence if you know what to look for.