It would however save many people a lot of time if they understood that logical reasoning cannot tell you facts about the world with are not already implied by

It would however save many people a lot of time if they understood that logical reasoning cannot tell you facts about the world with are not already implied by the premises or definitions chosen. You cannot prove the existence of gravity or the platypus purely by logic. Neither can you prove the existence of "God", unless you define "God" in such a vague way that it doesn't tell you anything about reality.