??so... let x be a boolean algebra ... and y a stone open for it ... ??construed as the canonical "set with x-valued existence and equality predicates" obtained from it ... ??...

??something about ... ???"model of [the geometric theory of a truth-value] over x, with existence realized as x-genuine existence and equality as x-genuine equality" ... ??or something ... ???something about lawveresque "quantifiers as adjoints to substitution" approach .... ??something about case x = {true,false} ... ???.... ??as maybe only case where "genuineness" constraint is non-vacuous ??? .... ??or something ???... ??or maybe what i mean by that is that ...??x-genuineness means just that ... ???? "if exist(s1)=exist(s2) then equal(s1,s2)=exist(s1) precisely in case s1=s2" (??or something ... ??...) ... and ... ??? ?? ???or something ???....

??does that (??...) make any sense ????.....

??so what _about_ looking at non-canonical realizations here ??? ...

??something about ... "existence" : s -> x .... ???.... as being monic in canonical realization of stone open y ... ??thus identifying y with certain sort of subset of x ??? ... ???or something ???....

??so let s be a subset of x st .... ???what ???...

???something about ... ??the clopens contained in an open ... ???....