That's the point of the Christian religion. We don't have suitable evidence that our God exists. However, our own experiences prove it to us. Unfortunately, people that aren't Christians don't understand why we follow, and that is answered by one word: Faith. I will never be able to prove His existence to you. You will never be able to prove his nonexistence to me. That is the logical end.
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I saw a unicorn today. No one else saw it, and I can't provide any evidence that I saw it, but it proved itself to me that it exists. My own experience proves that unicorns exist. That's your religious "logic." One person insists something's real that isn't, we throw them in a mental hospital. A whole society is manipulated into mass-delusion by a corrupt system created by the powerful to control the masses, we call it religion.