I believe logic to be an invention and not a discovery as such. Moreover, logic reflects a consensus and not some universal truth.
Our evolution has a symbiotic relationship with our logic.
We invent our outlook and our logic and we evolve in line with it. Our evolved form, physical and psychological, also biases the direction of our logic.
If we are unaware of this symbiosis, our logic can appear to be absolute and a discovery of something outside ourselves. If we discover anything through logic, it is ourselves -- our values, choices and related evolution.
Hence, the dialectic is useless when arguing religion vs science. They are inventions.
Your thoughts, please. . .