
If each ordinal n is identified with the set [n] of all ordinals less than or equal to n, then a ≤ b if and only if [a] ⊆ [b].
Or to put it another way, suppose the big circle represents the world of the novel Other Clocks, which concerns the seven fictional O’Shaughnessy brothers and how each learns — or fails to learn — how to balance with desire, art, and power.
The three larger circles within the big circle represent the very real works of three of the fictional O’Shaughnessy brothers. Bry O’Shaughnessy’s illustration of The Complete & Authoritative Periodic Table of the Elephants, along with Nog O’Shaughnessy’s schematic drawing Hell, emended 21c., both appear in Bern O’Shaughnessy’s novel Wish.
Meanwhile, Wish Bernum (Bern’s protagonist in his novel The Quiet Underwoods) has written his own novel, Bark Mice.
Father Norm de Plüm and his work on Dunts have no real part in the fictive O’Shaughnessy universe, and he is alarmed to find himself even appearing in this diagram.
