If God does not exist then would God's heaven, in the phrase "God is in his heaven" be classified as an "empty world"?
I have only encountered the phrase "empty world" in the SEP article on nothingness.
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The OP notes:
I'm just asking about the terminology for 'empty world', not whether anyone agrees that God exists or if He is in his heaven (a note in a handout I got in second year classes)
An empty world may be viewed as an impossible world. Here is Wikipedia's description:
In philosophical logic, the concept of an impossible world (sometimes non-normal world) is used to model certain phenomena that cannot be adequately handled using ordinary possible worlds. An impossible world, w, is the same sort of thing as a possible world (whatever that may be), except that it is in some sense "impossible."
It might also be viewed as a non-normal world.
Wikipedia contributors. (2019, August 16). Impossible world. In Wikipedia, The Free Encyclopedia. Retrieved 17:51, September 9, 2019, from https://en.wikipedia.org/w/index.php?title=Impossible_world&oldid=911121463