@fresco,
Ah but there you see, you can always be divided into more "objects" (sub-strings) yet is there a limited or unlimited amount on self possible conceptions on you ? ("maximum entropy") Again Infinity or Finity...
Is there a Meta Self as a finite set of possible selves at any given Time/Space ?
So, is there "true value" to each of this conceptions ? If the set is finite there is...and I mean finite in quality...(the same rules of nature) not in quantity which works like a circle...you go around forever but the rules are always the same...
Now, about conception of no closure, you can do it in the abstract sense as an illusionary projection of what there is that you can know or intuit in terms of rules, but not as qualitatively different from what you can know since you cannot actually conceive the difference between this Multiverse and others with different rules of Nature...there are no words, no meaning and no relation to make any valid description without falling into an rearrangement of what you can know which is part of this Multiverse...
So I guess you and others (very respectable people indeed) are speculating on this concern...an old mathematical tendency for infinity´s...(a projection within itself)
Instead of falling for that fallacy try to conceive of different maths...I mean different rules and relations...
...no plus, minus, division, or multiplication...no algorithms, no functions, but something else...
Yeaahhh...nothing !
Exclude nothingness and you have Truth in Being !