Three chess geeks walk into a bar. Only one's nose is broken.

My explanation was probably clear I was asking what is the biggest compassion, the biggest color the biggest love, the summum bonum etc. However please note that like the natural numbers there is no biggest word, for instance preternaturalcompassion is bigger than compassion, And O-anhydrosulfaminobenzic Acid has more letters than its simpler name "salt".
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herdwars .... exactly right. And the little fleas have fleas upon them which have fleas upon them and so infinitum. Why not also Supreme Beings have Supremer Beings above them who have Beings above them and so forth infinitum.

It could converge? Read Hofstadters Godel Escher Bach which contains a story on Dzjins to make wishes, meta dzjins to make meta wishes etc.........
I've red GEB. Hofstadter strings together a bunch of anecdotes and proves nothing of worth. In fact even some of the examples he use are dated and lack rigor. In your statement "It could converge?" think of the word could. The square root of 2 "could" be even or it could be odd or it could be neither or it could be both or it could be some thing else entirely. The rigor comes in showing what it must be or what it must not be.