Not claiming any expertise in breadth of understanding or philology of the suttas, but having waded through so much of it that my current sense of clarity stems from the following considerations (aka a two-cents worth, possibly in need of correction):
1: The additional problem to consider of “dhamma” as “Things”, i.e. something that’s there, implying an ontological entity – – better phenomena, i.e. appearances
2: And then the whole (above) no self / not self issue, whether with or without hyphen…
Better “void of” , “without”, … in the direction of the notion I’ve found most clear in this situation: “free of/from”
‘A-/an-’ as the so-called “alpha-privitive” (in the context of classical Greek) as in deprived of, or “free of/from”, meaning just does not pertain, not to be bothered with at all.
E.g. the example “aletheia” (“truth”) i.e. a-letheia where letheia denotes “forgetfulness” (as in the river “Lethe” which, in Greek mythology, the dead cross through to cleanse memories (attachments?)). “Not- / no- forgetfulness” implies the sort of Aristotelian either-or logic (logic of non-contradiction), whereas “free from forgetfulness” implies not being limited, not trapped in the dualisms – is/is not, isn’t/not isn’t, …
3: The two perspectives re-enforce each other, in that linguistic preoccupation with “thing-ness” (nouns) goes back to Aristotelian ontology so deeply embedded in Western culture and language, as well as the Aristotelian logic of non-contradiction – either “is” or “is not”.
I think of the Buddha perspective as 1) the ontological bias liberated by the phenomenological perspective – experience of “object” involves most immediately just “appearance” (phano), from which (mundane) conditioning infers contact with some “thing” out there; and 2) the “self” as enduring substance (ontology, again) is simply something to get free of, released from, as it is not experientially verified by deeply reflective experience (sati, vipassana,…).
4: This topic comes up again and again (ad nauseum, IMO) across all the on-line English-language “Buddhist” discussion groups. As, I suspect, Western mind (or any mind that can discourse in English) just can’t seem to get over, get beyond “itself”.
Perhaps the Buddha’s message had to simply with radically re-framing of, release from the issue of the Vedic “Self”, as the be-all and end-all of religious endeavor; rather than having to do with the modern, more highly developed, e.g. in the sense of Romanticism, “autobiographical self” (to use Antonio Damasio’s term*); this modern elaboration of “self” being the one so prone to disintegration (psychosis, etc.) when confronted with deep meditation. The mundane “self” the Buddha addresses may be more on the level of Damasio’s “core self”, the level having to do with agency, ownership, control. That being built on the level prior to that, the “protoself” that has to do with any organism’s sense of its own boundaries, its individuality and concern for survival; in any case, all these hypothetical constructs of “self”, in Damasio’s scheme, remain, by implication, transient and expedient (mundane) rather than in any way either ontological or metaphysical.)
Not to reduce the Buddha’s teaching to this aspect (as also noted above (DKervick 2017-04-16 04:12:49 UTC #22), but as an important kicking-off point, frame of reference for the religious mind of that time, to clear the deck for the rest of, the soteriological gist of his Dhamma.
Btw: “soul”, I think, goes back to “spiritus”, “pneuma”, or the breath-of-life notion; the po or corporeal spirit in classical Chinese (the white wandering ghost at times). Very difficult term due to the deep ontological overtones of the Christian usage in European languages and culture. And probably “ghost” notions across other cultures.
*Antonio Damasio, “Self Comes to Mind – Constructing the Conscious Brain”, 2010.