>>Yes, you can take a logical stance. Logic has defied many people of coming to a true fact in the past though.
Logic comes to conclusions via premises. False premises leads to untrustworthy conclusions. If you don't know your premises are false, you don't know that your conclusion is untrustworthy.
That's where experimentation comes into play. Via empirical observation, we can determine just how likely our premises are to be true.
>>Logically with no prior knowledge you would assume the sun rotated around the earth just like the moon.
Indeed. But we can perform experiments to see whether our conclusions is true. As it turns out, motion is relative, so go figure.
But that said, without ANY knowledge we wouldn't even know whether the Sun or Moon exist, how they move, etc. As we acquire more and more knowledge, we can come to more and more reliable conclusions.
But getting back to the point at hand, we STILL have no logical reason to conclude the existence of deities. We have reason to believe in the existence of neutrinos, but not gods. Discrete quanta of light, but not gods. Galaxies and other Suns, but not gods.
Nor, for that matter, unicorns, goblins, or leprechauns.