Can a person logically prove God’s existence?
Logic says no.
It’s love that proves God’s existence.
There is the one who loves, then the object of love and love itself as the third…
God’s [love] being merciful points away from Himself.
“If you want to love me, then love the people you see; what you do for them, you do for me. If you want to show that your life is intended to serve God, then let it serve people, yet continually with the thought of God.”