I'm asking for the name of a philosophy and any authors, books, or articles that explore a particular philosophy. The philosophy is motivated in part by a question of, "in what is our universe/multiverse hosted?". As best as I have collected it, the main idea is that every possible logically coherent mathematical system exists and is as real as our own existence - and further, that our own universe/existence is but one such mathematical system among all of the possibilities. According to this line of thinking, these systems do not require any intelligent conjurer/discover to exist nor an evaluation/render mechanism; these mathematical systems are static in all dimensions, with the specialization of dimensions such as time with its "arrow" being merely an illusion.
(The original illustration, intended as from the perspective one championing this philosophy, was somehow distracting and offensive to some. I have removed it. It should still be visible, for more detail, in the change log for this question.)
I find this idea to be appealing. It seems to me to include or accommodate Copernican Mediocrity, Determinism, Reductionism, and perhaps all of the (to-be-determined-) coherent Many Worlds proposals simultaneously. I'd like to read more thoughtful philosophical writings from this viewpoint. Is there a name for this line of thinking? Any recommended (non-physics) books on the subject?
I'm am not interested in discussing the merits of the concept or lack thereof. I merely wish to hear from you if you recognize this, in all sincerity and goodwill, to have commonalities with recognized philosophies and/or the writings of published authors.