Dark, but what if the majority are wrong? What then? If there is Truth, it is Absolute, not relative. Truth is only Truth when it's true irrespective of belief (doesn't need all people to acknowledge it as real to be real).
Finally, logic does have to be derived from somewhere, otherwise how do you distinguish logic from that which isn't logical? It's good that you believe in something beyond the physical but please take that a step further and realise there is one True God who is calling you to Him to join in his hope and freedom and no longer rebel against him. I agree with you that science isn't always logical because conclusions are based on the worldview of those doing the experiments etc.