"Logical impossibility" refers to a situation or concept that cannot happen or be true because it contradicts the principles of logic and reason. It is something that is impossible to exist or occur based on logical reasoning. Full definition
In that sort of environment, both bull markets and bear markets become logical impossibilities. (money.stackexchange.com)
An omnipotent god that can deny his own existence and survive, goes right along with all the other logical impossibilities attributed to a god that can not be illogical. (religion.blogs.cnn.com)
Well... yes, so long as one understands «circular causation» to mean logical impossibility. (slaw.ca)